826 ENTRIES WITH REPORTED MODEL AUTHORSHIP OR AI PROOF CONTRIBUTIONS Created 14 October 2026; metadata snapshot primarily 13 October. The 2500 figure is an estimate, not a completed named list. Attribution status describes reported AI involvement; proof correctness is not audited. 0001. A boundary-field gap for the spin-one Heisenberg chain [OAIP-3165969dd92e] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/A-boundary-field-gap-for-the-spin-one-Heisenberg-chain-September-24-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0002. A boundary-only obstruction to four-dimensional disk embedding [OAIP-e1295c77b3c0] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/A-boundary-only-obstruction-to-four-dimensional-disk-embedding-September-24-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0003. A C^1 Counterexample to the Entropy Conjecture [OAIP-688df3a87faf] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/A-C1-Counterexample-to-the-Entropy-Conjecture-September-25-2026/article.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0004. A Capacity Criterion for Four-State Potts Reconstruction on Trees [OAIP-487751468997] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/A-Capacity-Criterion-for-Four-State-Potts-Reconstruction-on-Trees-October-5-2026/four-state-capacity.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0005. A CH obstruction to a prescribed categoricity threshold [OAIP-84beafdd9fce] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/A-CH-Obstruction-to-a-Prescribed-Categoricity-Threshold-September-24-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0006. A Charged Reduction of the Spacetime Penrose Inequality in Spatial Dimensions at Least Four [OAIP-f1f90b5b68c9] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/A-Charged-Reduction-of-the-Spacetime-Penrose-Inequality-in-Spatial-Dimensions-at-Least-Four-October-5-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0007. A classification of finite Euclidean Ramsey configurations [OAIP-55844238ba80] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/A-classification-of-finite-Euclidean-Ramsey-configurations-September-23-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0008. A closed Ricci flow with bounded scalar curvature and finite-time curvature blowup [OAIP-a1506b279695] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/A-closed-Ricci-flow-with-bounded-scalar-curvature-and-finite-time-curvature-blowup-September-24-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0009. A Codimension-One Bound for the Singular Set of a Stationary Integral Varifold [OAIP-ced45e363dd6] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/A-Codimension-One-Bound-for-the-Singular-Set-of-a-Stationary-Integral-Varifold-October-5-2026/varifold-singular-dimension.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0010. A Complete Local Domain without a Small Cohen–Macaulay Module [OAIP-72b09de8e10f] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/A-Complete-Local-Domain-Without-a-Small-Cohen-Macaulay-Module-September-23-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0011. A conditional abelianity theorem for special fourfold pairs with a half-weight divisor [OAIP-08b187a03c0e] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/A-conditional-abelianity-theorem-for-special-fourfold-pairs-with-a-half-weight-divisor-October-5-2026/main.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0012. A Conditional Reduction for Algebraic Kuga–Satake Correspondences [OAIP-b16ed7ffedd1] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/A-Conditional-Reduction-for-Algebraic-Kuga-Satake-Correspondences-September-10-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0013. A continuum temperature singularity for a radial pair potential [OAIP-51c7ee2f0a2e] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/A-continuum-temperature-singularity-for-a-radial-pair-potential-September-24-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0014. A Coulomb ground-state density without Kohn-Sham ensemble representation [OAIP-ca2011bde2c6] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/A-Coulomb-Ground-State-Density-without-Kohn-Sham-Ensemble-Representation-September-25-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0015. A counterexample to Hadwiger's conjecture [OAIP-0ee12dde7328] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/A-counterexample-to-Hadwigers-conjecture-September-23-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0016. A counterexample to integer-degree harmonic dimension comparison [OAIP-fe75e5c7cee9] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/A-counterexample-to-integer-degree-harmonic-dimension-comparison-September-25-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0017. A Counterexample to Kaplansky's Direct-Finiteness Conjecture in Characteristic Two [OAIP-34b2f8e35027] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/A-Counterexample-to-Kaplanskys-Direct-Finiteness-Conjecture-in-Characteristic-Two-September-23-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0018. A Counterexample to Kaplansky's Direct-Finiteness Conjecture in Odd Characteristic [OAIP-38f71c7af6b0] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/A-Counterexample-to-Kaplanskys-Direct-Finiteness-Conjecture-in-Odd-Characteristic-September-26-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0019. A counterexample to Kaplansky's quasitrace conjecture and failure of tensor-product stable finiteness [OAIP-3f8b10790155] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/A-counterexample-to-Kaplanskys-quasitrace-conjecture-September-23-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0020. A Counterexample to Kurosh’s Division-Ring Problem [OAIP-1f62bc13ebf9] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/A-Counterexample-to-Kuroshs-Division-Ring-Problem-September-23-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0021. A counterexample to Naimark's problem in ZFC [OAIP-a663d143530c] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/A-counterexample-to-Naimarks-problem-in-ZFC-September-24-2026/naimark-counterexample-zfc.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0022. A counterexample to Ryser's covering conjecture [OAIP-dd14cd8c6a09] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/A-Counterexample-to-Rysers-Covering-Conjecture-September-23-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0023. A counterexample to Sidorenko's conjecture [OAIP-5e6ce4ba6e75] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/A-counterexample-to-Sidorenkos-conjecture-September-23-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0024. A counterexample to Tachikawa's second conjecture [OAIP-ba058fe207bc] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/A-counterexample-to-Tachikawas-second-conjecture-September-23-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0025. A counterexample to the coarse Novikov conjecture [OAIP-4d6b72540609] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/A-counterexample-to-the-coarse-Novikov-conjecture-September-23-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0026. A counterexample to the Colin de Verdière chromatic conjecture [OAIP-b25cd5f505bf] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/A-counterexample-to-the-Colin-de-Verdiere-chromatic-conjecture-September-23-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0027. A Counterexample to the Group-Ring Determinant Conjecture [OAIP-c7046a24a22e] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/A-Counterexample-to-the-Group-Ring-Determinant-Conjecture-September-23-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0028. A Counterexample to the Infinite Matroid Packing/Covering Conjecture [OAIP-8948bbcce83b] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/A-Counterexample-to-the-Infinite-Matroid-Packing-Covering-Conjecture-September-24-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0029. A counterexample to the Monge ansatz for the three-marginal Coulomb cost [OAIP-ccc4175b074f] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/A-counterexample-to-the-Monge-ansatz-for-the-three-marginal-Coulomb-cost-September-25-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0030. A counterexample to the nearby Lagrangian conjecture [OAIP-9d56d86939ba] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/A-counterexample-to-the-nearby-Lagrangian-conjecture-September-23-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0031. A Counterexample to Wall's D(2) Problem [OAIP-8a885cbec034] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/A-Counterexample-to-Walls-D2-Problem-October-6-2026/wall-d2-counterexample.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0032. A cubic lower bound for border determinantal complexity of the permanent [OAIP-b4bb67ab3de8] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/A-cubic-lower-bound-for-border-determinantal-complexity-of-the-permanent-September-24-2026/A-cubic-lower-bound-for-border-determinantal-complexity-of-the-permanent-September-24-2026.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0033. A Cyclic Polytabloid Proof of Saxl's Conjecture [OAIP-1ae49d454fec] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/A-Cyclic-Polytabloid-Proof-of-Saxls-Conjecture-September-24-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0034. A density-uniform condensate bound for dilute Bose gases [OAIP-0bf67eeec97a] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/A-density-uniform-condensate-bound-for-dilute-Bose-gases-September-27-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0035. A dimension-free logarithmic Sobolev inequality for subgaussian log-concave measures [OAIP-c082d973442f] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/A-dimension-free-logarithmic-Sobolev-inequality-for-subgaussian-log-concave-measures-September-23-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0036. A Direct Proof of Optimal Max-Cut Hardness [OAIP-e79e9ce01cf7] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/A-Direct-Proof-of-Optimal-Max-Cut-Hardness-September-23-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0037. A direct proof of the complete Crouzeix inequality [OAIP-1958c29c3a92] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/A-direct-proof-of-the-complete-Crouzeix-inequality-September-26-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0038. A directional zero–one law for finite-range-dependent random environments [OAIP-7f151483b202] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/A-directional-zero-one-law-for-finite-range-dependent-random-environments-October-5-2026/directional-zero-one-finite-range.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0039. A directional zero–one law under strict ellipticity [OAIP-b641f210bbf4] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/A-directional-zero-one-law-under-strict-ellipticity-September-23-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0040. A doubling Hilbert subset with no finite-dimensional bi-Lipschitz embedding [OAIP-25541d8e8df4] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/A-doubling-Hilbert-subset-with-no-finite-dimensional-bi-Lipschitz-embedding-September-25-2026/main.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0041. A finite Smith–Toda complex V(4) at the prime 1009 [OAIP-4ef8d9a5d99c] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/A-finite-Smith-Toda-complex-V4-at-the-prime-1009-September-23-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0042. A finite-entropy separation of microstates and nonmicrostates free entropy [OAIP-31caeb26c04d] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/A-finite-entropy-separation-of-microstates-and-nonmicrostates-free-entropy-September-25-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0043. A finite-time singularity of Calabi flow on projective space [OAIP-ec1ea47bdadb] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/A-finite-time-singularity-of-Calabi-flow-on-projective-space-September-24-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0044. A finitely generated counterexample to the Eilenberg–Ganea conjecture [OAIP-a5f52ea09205] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/A-finitely-generated-counterexample-to-the-Eilenberg-Ganea-conjecture-September-23-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0045. A Fixed Particle Test for Computation in a Forced Viscous Flow [OAIP-22fbb3d0d867] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/A-Fixed-Particle-Test-for-Computation-in-a-Forced-Viscous-Flow-September-27-2026/manuscript.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0046. A Fock-space inequality and the Laughlin spectral gap [OAIP-197b798dcbf0] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/A-Fock-space-inequality-and-the-Laughlin-spectral-gap-September-24-2026/A-Fock-space-inequality-and-the-Laughlin-spectral-gap-September-24-2026.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0047. A Fully Polynomial Randomized Approximation Scheme for Perfect Matchings in General Graphs [OAIP-a6b76a57e739] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/A-Fully-Polynomial-Randomized-Approximation-Scheme-for-Perfect-Matchings-in-General-Graphs-September-23-2026/main.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0048. A Gepner stability condition on every smooth quintic threefold [OAIP-f723d2df8a64] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/A-Gepner-stability-condition-on-every-smooth-quintic-threefold-September-24-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0049. A group without fixed price [OAIP-f3f277c6891f] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/A-group-without-fixed-price-October-5-2026/unequal-costs-rank-100-amalgam.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0050. A high-arity counterexample to Pixton completeness in Chow [OAIP-8aec1fdb175e] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/A-high-arity-counterexample-to-Pixton-completeness-in-Chow-September-24-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0051. A hyperbolic group with no geometric CAT(0) action [OAIP-95ab6ed79b4e] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/A-hyperbolic-group-with-no-geometric-CAT0-action-September-25-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0052. A latest-anchor induction with spectrally compact masks for worst-case trace reconstruction [OAIP-02d4394a97f9] Authors: not yet recorded First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/A-latest-anchor-induction-with-spectrally-compact-masks-for-worst-case-trace-reconstruction-October-5-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0053. A Limiting Satisfiability Threshold for Every Fixed Clause Size [OAIP-0c2d60b5ad83] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/A-Limiting-Satisfiability-Threshold-for-Every-Fixed-Clause-Size-September-25-2026/article.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0054. A Linear Clock for Random Walk on Tree-Weighted Planar Maps [OAIP-69d43feceb95] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/A-Linear-Clock-for-Random-Walk-on-Tree-Weighted-Planar-Maps-October-5-2026/linear-clock-random-walk-tree-weighted-planar-maps.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0055. A linear cycle-and-edge decomposition of every graph [OAIP-aa4a9f7b64d5] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/A-linear-cycle-and-edge-decomposition-of-every-graph-September-24-2026/main.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0056. A linear list-coloring bound in terms of the Hadwiger number [OAIP-8aaa0e2bce92] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/A-linear-list-coloring-bound-in-terms-of-the-Hadwiger-number-September-23-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0057. A local Penrose inequality for conformal perturbations of Schwarzschild–anti-de Sitter data [OAIP-39788d94ebb5] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/A-local-Penrose-inequality-for-conformal-perturbations-of-Schwarzschild-anti-de-Sitter-data-October-5-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0058. A logarithmic independence bound for clique-free graphs [OAIP-54f59aabd3bd] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/A-Logarithmic-Independence-Bound-for-Clique-Free-Graphs-September-25-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0059. A Low-Space Algorithm for Worst-Case Subset Sum [OAIP-744dc527663d] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/A-Low-Space-Algorithm-for-Worst-Case-Subset-Sum-September-26-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0060. A marked tensor obstruction to four-dimensional disk embedding [OAIP-4301af957eb9] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/A-marked-tensor-obstruction-to-four-dimensional-disk-embedding-September-24-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0061. A Modulus Proof of Cannon’s Conjecture [OAIP-4d998a626556] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/A-Modulus-Proof-of-Cannons-Conjecture-September-23-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0062. A Nearly Quartic Separation Between Randomized and Quantum Query Complexity [OAIP-42626a7cbc85] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/A-Nearly-Quartic-Separation-Between-Randomized-and-Quantum-Query-Complexity-October-5-2026/quartic-query-separation.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0063. A negative solution to the finite lattice representation problem [OAIP-c3c2c749a8b8] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/A-Negative-Solution-to-the-Finite-Lattice-Representation-Problem-September-24-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0064. A negatively pinched Kähler threefold without bounded holomorphic coordinates [OAIP-7d6aa7245a58] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/A-negatively-pinched-Kahler-threefold-without-bounded-holomorphic-coordinates-September-25-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0065. A nine-dimensional counterexample to Borsuk's covering assertion [OAIP-81f271724300] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/A-nine-dimensional-counterexample-to-Borsuks-covering-assertion-September-23-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0066. A nondegenerate counterexample to the Morse-number Arnold bound [OAIP-1ac29174c951] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/A-nondegenerate-counterexample-to-the-Morse-number-Arnold-bound-September-23-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0067. A nonspectrahedral hyperbolicity cone [OAIP-784dd751a0bb] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/A-Nonspectrahedral-Hyperbolicity-Cone-September-24-2026/nonspectrahedral-hyperbolicity-cone.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0068. A PD4 group without an aspherical manifold model [OAIP-cd4a4c3412d8] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/A-PD4-group-without-an-aspherical-manifold-model-September-24-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0069. A Pivotal Amplitude for Voronoi Percolation from Cardy's Formula [OAIP-3ec0af99e466] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/A-Pivotal-Amplitude-for-Voronoi-Percolation-from-Cardys-Formula-October-5-2026/voronoi-pivotal-amplitude.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0070. A pointwise 2-converse for elliptic curves with rational two-torsion [OAIP-a41c29e7a091] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/A-pointwise-2-converse-for-elliptic-curves-with-rational-two-torsion-October-7-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0071. A Polynomial-Time 2-Approximation for Shortest Common Superstring [OAIP-2d2585ddd6f7] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/A-Polynomial-Time-2-Approximation-for-Shortest-Common-Superstring-September-24-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0072. A Polynomial-Time Algorithm for Three-Machine Unit-Job Scheduling [OAIP-40a7d8e28e7a] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/A-polynomial-time-algorithm-for-three-machine-unit-job-scheduling-September-24-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0073. A polynomial-time construction of strong thin trees [OAIP-df23ae02b1b7] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/A-polynomial-time-construction-of-strong-thin-trees-September-23-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0074. A positive resolution of De Giorgi's conjecture in dimension eight [OAIP-9eb94d7ac586] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/De-Giorgis-conjecture-in-dimension-eight-September-26-2026/article.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0075. A positive solution to Tingley’s problem [OAIP-de3ea17e6f2b] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/A-positive-solution-to-Tingleys-problem-September-23-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0076. A power improvement in the Heilbronn triangle lower bound [OAIP-0f76d582cea5] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/A-power-improvement-in-the-Heilbronn-triangle-lower-bound-September-25-2026/main.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0077. A power saving for intersective polynomial differences with an exponent depending only on the degree [OAIP-68fa5487b279] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/A-power-saving-for-intersective-polynomial-differences-with-an-exponent-depending-only-on-the-degree-October-5-2026/power-saving-intersective-polynomial-differences.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0078. A power saving for planar halving lines [OAIP-b336bf8ad16e] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/A-power-saving-for-planar-halving-lines-September-25-2026/main.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0079. A power saving for planar unit distances [OAIP-a50280244b59] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/A-power-saving-for-planar-unit-distances-September-23-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0080. A Power Saving for Polynomial Differences at Prime Arguments [OAIP-587f6de11951] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/A-Power-Saving-for-Polynomial-Differences-at-Prime-Arguments-October-5-2026/prime-argument-polynomial-differences.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0081. A power saving for square-difference-free sets [OAIP-9c985fd7ca41] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/A-power-saving-for-square-difference-free-sets-September-24-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0082. A product counterexample to the simplex maximum for projection-body volume [OAIP-34632678d215] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/A-product-counterexample-to-the-simplex-maximum-for-projection-body-volume-September-24-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0083. A projective fourfold with large fundamental group and non-Stein universal cover [OAIP-795e69702de0] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/A-projective-fourfold-with-large-fundamental-group-and-non-Stein-universal-cover-October-5-2026/large-fundamental-group-non-stein.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0084. A proof of Seymour’s second-neighborhood conjecture [OAIP-dc2fb20975a0] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/A-proof-of-Seymours-second-neighborhood-conjecture-September-23-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0085. A quadratic bound for Jacobsthal's function [OAIP-b18cf026d826] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/A-quadratic-bound-for-Jacobsthals-function-September-25-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0086. A radial continuum phase transition with algebraic decay [OAIP-602393349a82] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/A-radial-continuum-phase-transition-with-algebraic-decay-September-24-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0087. A rational obstruction to strong chromatic splitting at height three [OAIP-38c1dbd2ed2d] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/A-rational-obstruction-to-strong-chromatic-splitting-at-height-three-September-25-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0088. A sharp entropy bound and the simplex inequality for isotropic constants [OAIP-1cacde967efb] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/A-sharp-entropy-bound-and-the-simplex-inequality-for-isotropic-constants-October-5-2026/isotropic-simplex.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0089. A sharp Fourier certificate for planar circle packing [OAIP-31e9cc4857e0] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/A-sharp-Fourier-certificate-for-planar-circle-packing-September-23-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0090. A Sharp Threshold Bound for Monotone Graph Properties [OAIP-f7e2f0a385b0] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/A-Sharp-Threshold-Bound-for-Monotone-Graph-Properties-September-25-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0091. A single-lattice covering bound of order n log n [OAIP-e021dd6ed3a7] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/A-single-lattice-covering-bound-of-order-n-log-n-September-23-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0092. A singular normal affine surface with free tangent sheaf [OAIP-6343e7b14aa1] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/A-singular-normal-affine-surface-with-free-tangent-sheaf-September-23-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0093. A Smooth Metric with No Local Isometric Immersion into Three-Space [OAIP-a63b076de1a0] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/A-Smooth-Metric-with-No-Local-Isometric-Immersion-into-Three-Space-September-24-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0094. A Smooth Nonquadratic Entire Affine Maximal Graph in Dimension Ten [OAIP-dcd67918c437] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Smooth-Nonquadratic-Affine-Maximal-Graph-in-Dimension-Ten-October-5-2026/affine-maximal-dimension-ten.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0095. A smooth three-torus diffeomorphism with simple Lebesgue spectrum [OAIP-c5f19387b436] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/A-smooth-three-torus-diffeomorphism-with-simple-Lebesgue-spectrum-September-23-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0096. A spectral gap throughout the high-temperature Sherrington–Kirkpatrick phase [OAIP-c5a80d7e8083] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/A-spectral-gap-throughout-the-high-temperature-Sherrington-Kirkpatrick-phase-September-24-2026/main.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0097. A stable coordinate that is not a coordinate in four variables [OAIP-3dbb3c9dc50e] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/A-stable-coordinate-that-is-not-a-coordinate-in-four-variables-October-5-2026/stable-coordinate-four-variables.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0098. A strict four-row permanent inequality and permutation moments [OAIP-cfd3197691c1] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/A-strict-four-row-permanent-inequality-and-permutation-moments-September-26-2026/main.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0099. A strict inverse-first-power bound for univalent functions [OAIP-8e29cc8f4983] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/A-strict-inverse-first-power-bound-for-univalent-functions-September-24-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0100. A superquadratic separation between sensitivity and block sensitivity [OAIP-a61daa8a7cad] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/A-superquadratic-separation-between-sensitivity-and-block-sensitivity-September-25-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0101. A surface counterexample to Shafarevich holomorphic convexity [OAIP-3f564d3c7259] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/A-surface-counterexample-to-Shafarevich-holomorphic-convexity-September-23-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0102. A Three-Dimensional Counterexample to Integer-Degree Harmonic Dimension Comparison [OAIP-bf776b4ffa63] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/A-Three-Dimensional-Counterexample-to-Integer-Degree-Harmonic-Dimension-Comparison-September-26-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0103. A Three-Manifold Without Conjugate Points and Without a Nonpositively Curved Metric [OAIP-845ae3c4390b] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/A-Three-Manifold-Without-Conjugate-Points-and-Without-a-Nonpositively-Curved-Metric-September-24-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0104. A torsion-free counterexample to reduced Baum–Connes injectivity [OAIP-ed186ef9c24d] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/A-Torsion-Free-Counterexample-to-Reduced-Baum-Connes-Injectivity-September-23-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0105. A torsion-free counterexample to the Kadison–Kaplansky projection conjecture [OAIP-f05d2a712ecb] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/A-Torsion-Free-Counterexample-to-the-Kadison-Kaplansky-Projection-Conjecture-September-23-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0106. A Torsion-Free Group Algebra That Is Not Directly Finite [OAIP-345f7e9b9150] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/A-Torsion-Free-Group-Algebra-That-Is-Not-Directly-Finite-October-4-2026/direct-finiteness.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0107. A Torsion-Free Group Algebra with Zero Divisors [OAIP-3d6fa1dbaf31] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/A-Torsion-Free-Group-Algebra-with-Zero-Divisors-September-23-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0108. A torsion-free hyperbolic group that is not residually finite [OAIP-01b64f9ea4a8] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/a-torsion-free-hyperbolic-group-that-is-not-residually-finite-September-23-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0109. A translational tile with no fully periodic tiling in dimension three [OAIP-34c30a7d57da] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/A-translational-tile-with-no-fully-periodic-tiling-in-dimension-three-September-23-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0110. A two-dimensional area law from a global spectral gap [OAIP-9f31065b5323] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/A-two-dimensional-area-law-from-a-global-spectral-gap-September-24-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0111. A typical-start upper bound for low-temperature SK Glauber dynamics [OAIP-5a30fcdc25b2] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/A-typical-start-upper-bound-for-low-temperature-SK-Glauber-dynamics-September-24-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0112. A uniform Hilbert transform estimate for Lipschitz directions [OAIP-355dcc1d5f0d] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/A-uniform-Hilbert-transform-estimate-for-Lipschitz-directions-September-25-2026/main.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0113. A uniform influence bound for hypergraph properties [OAIP-cb5d8113ca07] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/A-uniform-influence-bound-for-hypergraph-properties-October-5-2026/hypergraph-influences.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0114. A uniformly discrete counterexample to bounded approximation in Lipschitz-free spaces [OAIP-eeff8513d74a] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Failure-of-Bounded-Approximation-in-a-Lipschitz-Free-Space-over-a-Uniformly-Discrete-Metric-Space-September-26-2026/main.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0115. A universal group of type F∞ [OAIP-842b94f8578e] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/A-universal-group-of-type-F-infinity-September-23-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0116. A zero-entropy system without a smooth positive-volume model [OAIP-d121740482c7] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/A-finite-entropy-system-without-a-smooth-positive-volume-model-September-25-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0117. Abelian covers, Gale correspondences, and the Hodge conjecture for powers [OAIP-58a4e5f68e87] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Abelian-covers-Gale-correspondences-and-the-Hodge-conjecture-for-powers-October-6-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0118. Absolutely Continuous Spectrum for Weak-Disorder Anderson Models in Dimensions at Least Three [OAIP-5509e3263d7e] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Absolutely-Continuous-Spectrum-for-Weak-Disorder-Anderson-Models-in-Dimensions-at-Least-Three-September-23-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0119. Abundance after nonvanishing for compact Kähler fourfolds [OAIP-632b092179f5] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Abundance-after-nonvanishing-for-compact-Kahler-fourfolds-September-27-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0120. Abundance in numerical dimension one for terminal threefolds in positive characteristic [OAIP-ad7a849f20c5] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Abundance-in-numerical-dimension-one-for-terminal-threefolds-in-positive-characteristic-September-24-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0121. Additive hardness and unbounded configuration gaps in bin packing [OAIP-6bb0a2a62bee] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Additive-hardness-and-unbounded-configuration-gaps-in-bin-packing-September-24-2026/Additive-hardness-and-unbounded-configuration-gaps-in-bin-packing-September-24-2026.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0122. Algebraic Kuga–Satake correspondences and Hodge conjectures on a K3 quadratic locus [OAIP-edce813b6234] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Algebraic-Kuga-Satake-correspondences-and-Hodge-conjectures-on-a-K3-quadratic-locus-September-30-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0123. All-temperature pressure for orthogonally invariant Ising spin glasses [OAIP-77ee128d02a3] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/All-temperature-pressure-for-orthogonally-invariant-Ising-spin-glasses-September-25-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0124. Almost-everywhere Fourier convergence in L log L [OAIP-996ced01dd67] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Almost-everywhere-Fourier-convergence-in-L-log-L-September-23-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0125. Almost-everywhere regularity of stationary integral varifolds [OAIP-f42a6256d2f8] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Almost-everywhere-regularity-of-stationary-integral-varifolds-September-23-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0126. Almost-Linear-Time Maximum-Cardinality Matching in General Graphs [OAIP-669239fdc7f9] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Almost-Linear-Time-Maximum-Cardinality-Matching-in-Sparse-General-Graphs-September-24-2026/main.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0127. Ambiently homeomorphic isolated hypersurface germs in ℂ⁴ with multiplicities four and five [OAIP-023c99253d0c] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Ambiently-homeomorphic-isolated-hypersurface-germs-in-C4-with-multiplicities-four-and-five-September-27-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0128. Ambiently homeomorphic isolated hypersurfaces of multiplicities two and three [OAIP-b37600a212e7] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Ambiently-homeomorphic-isolated-hypersurfaces-of-multiplicities-two-and-three-September-24-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0129. Ample rank-two bundles on the quadric surface without Griffiths-positive metrics [OAIP-480e66aa8b91] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/ample-rank-two-bundles-on-the-quadric-surface-without-griffiths-positive-metrics-September-24-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0130. An L3 bound for the trilinear Hilbert transform [OAIP-0ae7e1de0b98] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/An-L3-bound-for-the-trilinear-Hilbert-transform-October-5-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0131. An algebra of infinite little finitistic dimension [OAIP-315560cf0726] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/An-algebra-of-infinite-little-finitistic-dimension-September-23-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0132. An Almost-Linear Approximation Scheme for Edit Distance [OAIP-160a98fc2394] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/An-Almost-Linear-Approximation-Scheme-for-Edit-Distance-September-24-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0133. An Artin group with no geometric CAT(0) action [OAIP-3e04b32c30c9] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/An-Artin-group-with-no-geometric-CAT-0-action-September-23-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0134. An asymptotic formula for the number of totients [OAIP-1ad730bf2341] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/An-asymptotic-formula-for-the-number-of-totients-September-25-2026/An-asymptotic-formula-for-the-number-of-totients-September-25-2026.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0135. An atomic certificate for triangular-lattice universal optimality [OAIP-5943bd03b293] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/An-atomic-certificate-for-triangular-lattice-universal-optimality-September-26-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0136. An Endpoint Gradient Bound for the Centered Disk Maximal Operator [OAIP-3eee048d7739] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/An-Endpoint-Gradient-Bound-for-the-Centered-Disk-Maximal-Operator-September-26-2026/article.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0137. An exact Hausdorff gauge for SLE [OAIP-595b167a5f01] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/An-exact-Hausdorff-gauge-for-SLE-September-25-2026/An-exact-Hausdorff-gauge-for-SLE-September-25-2026.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0138. An Exact Semidefinite Lift of a Nonspectrahedral Hyperbolicity Cone [OAIP-adcffb567500] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/An-Exact-Semidefinite-Lift-of-a-Nonspectrahedral-Hyperbolicity-Cone-October-5-2026/Exact-Semidefinite-Lift-of-a-Nonspectrahedral-Hyperbolicity-Cone.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0139. An explicit counterexample to the Auslander-Reiten conjecture [OAIP-79581b711f50] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/An-explicit-counterexample-to-the-Auslander-Reiten-conjecture-September-23-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0140. An explicit exact Hausdorff gauge for SLE [OAIP-74027cb9996b] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/An-explicit-exact-Hausdorff-gauge-for-SLE-September-26-2026/An-explicit-exact-Hausdorff-gauge-for-SLE-September-26-2026.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0141. An explicit failure of complex affine-space cancellation [OAIP-c01f49713c2f] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/An-explicit-failure-of-complex-affine-space-cancellation-September-23-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0142. An explicit noncoordinate polynomial with affine three-space zero fibre [OAIP-0f04a0bdb4d7] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/An-explicit-noncoordinate-polynomial-with-affine-three-space-zero-fibre-September-24-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0143. An explicit obstruction to nuclear norm-ultrapower embeddings [OAIP-dab7f33402e6] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/An-explicit-obstruction-to-nuclear-norm-ultrapower-embeddings-September-23-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0144. An explicit power saving for the exact discrete Fourier transform [OAIP-e0dd6b6852ea] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/An-explicit-power-saving-for-the-exact-discrete-Fourier-transform-September-25-2026/main.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0145. An exponential state lower bound for two-way nondeterministic complementation [OAIP-82afb926eadc] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/An-exponential-state-lower-bound-for-two-way-nondeterministic-complementation-September-25-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0146. An exponential two-way deterministic state lower bound for one-way liveness [OAIP-de8d403ec8d0] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/An-exponential-two-way-deterministic-state-lower-bound-for-one-way-liveness-September-25-2026/main.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0147. An FPRAS for Cell-Bounded Contingency Tables [OAIP-e4abe4c4ee77] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/An-FPRAS-for-Cell-Bounded-Contingency-Tables-September-24-2026/main.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0148. An FPRAS for Common Integer Polymatroid Bases with Binary Capacities [OAIP-a46100c82af7] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/An-FPRAS-for-Common-Integer-Polymatroid-Bases-with-Binary-Capacities-October-5-2026/polymatroid-fpras.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0149. An infinite finitely presented periodic group [OAIP-f109d87e3a42] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/An-infinite-finitely-presented-periodic-group-September-23-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0150. An infinite finitely presented residually finite 2-group [OAIP-4e295cb76423] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/An-infinite-finitely-presented-residually-finite-2-group-October-5-2026/residually-finite-torsion.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0151. An infinite finitely presented simple amenable group [OAIP-f8decb4ced2a] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/An-Infinite-Finitely-Presented-Simple-Amenable-Group-September-23-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0152. An integral counterexample to Gersten's conjecture [OAIP-c0b9fdf6093b] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/An-Integral-Counterexample-to-Gerstens-Conjecture-September-25-2026/An-Integral-Counterexample-to-Gerstens-Conjecture-September-25-2026.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0153. An integral degree-three Gersten counterexample [OAIP-2f448c5a4c2a] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/An-Integral-Degree-Three-Gersten-Counterexample-September-26-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0154. An integral scalar curvature bound for real simplicial volume [OAIP-d70ea1fa615d] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/An-integral-scalar-curvature-bound-for-real-simplicial-volume-October-5-2026/v126-proof.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0155. An irrational-trace counterexample to reduced Baum–Connes [OAIP-f2838fa80395] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/An-Irrational-Trace-Counterexample-to-Reduced-Baum-Connes-September-23-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0156. An Isolated Particle Pole for the Two-Dimensional O(3) Spin Field [OAIP-e46fa1bf299d] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/An-Isolated-Particle-Pole-for-the-Two-Dimensional-O3-Spin-Field-October-4-2026/o3-particle-pole.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0157. An isomorphism of the free group factors [OAIP-263636be9909] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/An-isomorphism-of-the-free-group-factors-September-23-2026/An-isomorphism-of-the-free-group-factors-September-23-2026.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0158. An L² Einstein Gap for Nonnegatively Curved Four-Manifolds [OAIP-673428cc9203] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/An-L2-Einstein-Gap-for-Nonnegatively-Curved-Four-Manifolds-October-5-2026/einstein-gap.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0159. An L³ bound for the dyadic triangular Hilbert form [OAIP-d49bbfc14def] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/An-L3-bound-for-the-dyadic-triangular-Hilbert-form-October-5-2026/dyadic-triangular-hilbert.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0160. An unconditional first moment for cubic Gauss sums [OAIP-73ec63fe954d] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/An-unconditional-first-moment-for-cubic-Gauss-sums-September-25-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0161. An Upper Bound of 9/4 for the Matrix Multiplication Exponent [OAIP-90872dcda176] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Matrix-Multiplication-Nine-Fourths-October-2-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0162. Annular variation of the triangular Hilbert transform at the symmetric point [OAIP-91a1fc251311] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Annular-variation-of-the-triangular-Hilbert-transform-at-the-symmetric-point-October-5-2026/annular-variation.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0163. Anticanonical nonvanishing from smooth semipositivity [OAIP-83b37855a387] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Anticanonical-nonvanishing-from-smooth-semipositivity-September-26-2026/main.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0164. Approximate counting of common bases of two matroids [OAIP-37d510a7d91d] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Approximate-counting-of-common-bases-of-two-matroids-September-23-2026/main.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0165. Approximation Paving over Arbitrary Maximal Abelian Subalgebras [OAIP-095dcf7bab0b] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Approximation-Paving-over-Arbitrary-Maximal-Abelian-Subalgebras-September-25-2026/Approximation-Paving-over-Arbitrary-Maximal-Abelian-Subalgebras-September-25-2026.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0166. Area-controlled end replacement and the Bondi Penrose inequality in the CKS class [OAIP-e11daebd5a79] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Area-controlled-end-replacement-and-the-Bondi-Penrose-inequality-in-the-CKS-class-September-27-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0167. Arithmetic classification and non-Pisot singularity for Bernoulli convolutions [OAIP-c180c88bf9e7] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Arithmetic-classification-and-non-Pisot-singularity-for-Bernoulli-convolutions-October-3-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0168. Arithmetic Stein-degree bounds for log Calabi–Yau pairs [OAIP-695ce8117c76] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Arithmetic-Stein-degree-bounds-for-log-Calabi-Yau-pairs-September-25-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0169. Arithmeticity of twisted finite correspondences for lattices over local fields [OAIP-06b6d9d31099] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Arithmeticity-of-twisted-finite-correspondences-for-lattices-over-local-fields-September-23-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0170. Asymptotic midpoint uniform convexity and unbounded diamond distortion in a reflexive tree space [OAIP-ac2fc679b256] Authors: not yet recorded First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Asymptotic-midpoint-uniform-convexity-and-unbounded-diamond-distortion-in-a-reflexive-tree-space-September-27-2026/manuscript.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0171. Asymptotically minimal maxima of real Littlewood polynomials [OAIP-d1f8195df679] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Asymptotically-minimal-maxima-of-real-Littlewood-polynomials-September-23-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0172. Average sensitivity of polynomial threshold functions [OAIP-8abf50c0b66d] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Average-Sensitivity-of-Polynomial-Threshold-Functions-September-25-2026/main.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0173. B-semiampleness for compact log-smooth Kähler fibrations [OAIP-189cb97d8d8c] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/B-semiampleness-for-compact-log-smooth-Kahler-fibrations-September-10-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0174. Backward intertwiners and a transitive commutant [OAIP-0a8581ff210b] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Backward-intertwiners-and-a-transitive-commutant-September-27-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0175. Balanced counterexamples to Ryser's conjecture at prime orders [OAIP-1ac5642c2473] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Balanced-Counterexamples-to-Rysers-Conjecture-at-Prime-Orders-September-27-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0176. Baumslag-Solitar-free one-relator groups are hyperbolic [OAIP-ac4977a1a76e] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Baumslag-Solitar-free-one-relator-groups-are-hyperbolic-September-25-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0177. Beyond the Square-Root Exponent for Depth-Three Boolean Circuits [OAIP-845f094d57cb] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Beyond-the-Square-Root-Exponent-for-Depth-Three-Boolean-Circuits-September-23-2026/main.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0178. Bi-Lipschitz Absorption of c0 Without a Linear Copy of c0 [OAIP-85b415e1d64e] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Bi-Lipschitz-Absorption-of-c0-Without-a-Linear-Copy-of-c0-September-26-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0179. Bi-Lipschitz Coordinates at Regular Points of Noncollapsed RCD Spaces [OAIP-eef694b570ce] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Bi-Lipschitz-Coordinates-at-Regular-Points-of-Noncollapsed-RCD-Spaces-September-25-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0180. BKT universality for height and planar spin fields [OAIP-2bb16506fb56] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/BKT-universality-for-height-and-planar-spin-fields-September-24-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0181. Bloch's Law for Finite-Range Heisenberg Ferromagnets in Three Dimensions [OAIP-9669b6997ff4] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Blochs-Law-for-Finite-Range-Heisenberg-Ferromagnets-in-Three-Dimensions-October-5-2026/bloch-law-heisenberg.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0182. Bloch’s conjecture for surfaces with p_g=0 [OAIP-1ab9b4fafafc] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Blochs-Conjecture-for-Surfaces-with-pg-equals-q-equals-0-September-24-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0183. Bochner–Riesz multipliers in three dimensions [OAIP-55986c5ee747] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Bochner-Riesz-Multipliers-in-Three-Dimensions-September-24-2026/Bochner-Riesz-Multipliers-in-Three-Dimensions-September-24-2026.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0184. Bose–Einstein condensation at positive temperature in the dilute hard-sphere gas [OAIP-801072ac1fae] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Bose-Einstein-condensation-at-positive-temperature-in-the-dilute-hard-sphere-gas-October-5-2026/positive-temperature-hard-spheres.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0185. Boundary graph deformations for the spacetime Penrose inequality [OAIP-94b4848c5a41] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Boundary-graph-deformations-for-the-spacetime-Penrose-inequality-September-27-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0186. Bounded anticanonical metrics on klt pairs and torus quotients [OAIP-0eb94c49d548] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Bounded-anticanonical-metrics-on-klt-pairs-and-torus-quotients-September-26-2026/main.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0187. Bounded klt complements for Fano contractions [OAIP-47d9a104e623] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Bounded-klt-complements-for-Fano-contractions-September-25-2026/Bounded-klt-complements-for-Fano-contractions-September-25-2026.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0188. Bounded recovery for modular spectral averages [OAIP-81c64b315fd2] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Bounded-recovery-for-modular-spectral-averages-September-23-2026/Bounded-recovery-for-modular-spectral-averages-September-23-2026.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0189. Bounded scalar curvature and smooth extension of four-dimensional Ricci flow [OAIP-e74d425656ff] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Bounded-scalar-curvature-and-smooth-extension-of-four-dimensional-Ricci-flow-September-24-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0190. Bounded-degree coboundary expanders in every dimension [OAIP-1029f319b3e4] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Bounded-degree-coboundary-expanders-in-every-dimension-September-24-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0191. Bounded-Step Walks on Gaussian Primes [OAIP-d62b7c0bb57a] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Bounded-Step-Walks-on-Gaussian-Primes-September-26-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0192. Boundedness and persistence of weakly reversible mass-action systems [OAIP-cdb5a46fab14] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Boundedness-and-persistence-of-weakly-reversible-mass-action-systems-September-25-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0193. Brennan's conjecture and sharp inverse-square integral means [OAIP-ca3c127f5aba] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Brennans-conjecture-and-sharp-inverse-square-integral-means-September-24-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0194. Brownian continuum random tree limits of finite Fortuin–Kasteleyn maps above four [OAIP-6cd400ca6689] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Brownian-continuum-random-tree-limits-of-finite-Fortuin-Kasteleyn-maps-above-four-September-24-2026/main.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0195. Buffered comparison and stopping-band resolution in critical Ising [OAIP-2af5567ba404] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Buffered-comparison-and-stopping-band-resolution-in-critical-Ising-September-23-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0196. Canonical ampleness of compact hyperbolic Kähler manifolds [OAIP-26bad5fbc8b3] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Canonical-ampleness-of-compact-hyperbolic-Kahler-manifolds-September-23-2026/canonical-ampleness.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0197. Canonical conformal limits of subcritical FK planar maps [OAIP-6b60070a1f12] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Canonical-conformal-limits-of-subcritical-FK-planar-maps-September-24-2026/main.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0198. Cap-selected amplitudes and triangle chords for honeycomb walks [OAIP-46a375ad3285] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Cap-selected-amplitudes-and-triangle-chords-for-honeycomb-walks-September-26-2026/main.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0199. Cardy’s formula for critical Poisson–Voronoi percolation [OAIP-6df5f15a9d19] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Cardys-formula-for-critical-Poisson-Voronoi-percolation-September-23-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0200. Catalan's constant is irrational [OAIP-fdc68c5049b5] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Catalans-constant-is-irrational-September-24-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0201. Choiceless polynomial time with counting does not capture polynomial time [OAIP-e6e04202257f] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Choiceless-polynomial-time-with-counting-does-not-capture-polynomial-time-September-23-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0202. Classical capacity and entropy inequalities for generalized amplitude damping [OAIP-9fa995332c4f] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Classical-capacity-and-entropy-inequalities-for-generalized-amplitude-damping-September-24-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0203. Close Separable C*-Algebras Without Spatial Conjugacy [OAIP-0fd84ead49bc] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Close-Separable-Cstar-Algebras-Without-Spatial-Conjugacy-October-5-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0204. Cohomological transfer and equivariant anticanonical sections [OAIP-4a0cfce76bf7] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Cohomological-transfer-and-equivariant-anticanonical-sections-September-26-2026/main.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0205. Combinatorial invariance of Kazhdan–Lusztig polynomials [OAIP-ff5b532b4217] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Combinatorial-Invariance-of-Kazhdan-Lusztig-Polynomials-September-24-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0206. Commuting Division-Coefficient Forms and the Artinian Eisenbud--Green--Harris Conjecture [OAIP-38092584f7c3] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Commuting-Division-Coefficient-Forms-and-the-Artinian-Eisenbud-Green-Harris-Conjecture-September-23-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0207. Compatibility entropy and the spectrum of a Thorp sweep [OAIP-066bd17e20c9] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Compatibility-entropy-and-the-spectrum-of-a-Thorp-sweep-September-26-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0208. Complex Matrix Multiplication Below 2.258 and Rectangular Bounds [OAIP-ffeccf46b092] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Complex-Matrix-Multiplication-Below-2.258-and-Rectangular-Bounds-September-24-2026/Complex-Matrix-Multiplication-Below-2.258-and-Rectangular-Bounds-September-24-2026.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0209. Computation under Rapidly Vanishing Navier–Stokes Forcing [OAIP-8fc2ca8e5d21] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Computation-under-Rapidly-Vanishing-Navier-Stokes-Forcing-September-27-2026/manuscript.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0210. Computing the Random 3-SAT Threshold [OAIP-558249bc91fe] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Computing-the-Random-3-SAT-Threshold-September-27-2026/article.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0211. Conditional coordinate sweeps and analytic transfer [OAIP-2a0250a8d5ca] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Conditional-coordinate-sweeps-and-analytic-transfer-September-26-2026/main.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0212. Conditional good minimal models for compact Kähler fourfolds [OAIP-a6bd97ad8118] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Conditional-good-minimal-models-for-compact-Kahler-fourfolds-October-6-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0213. Conditional information under deterministic coordinate sweeps [OAIP-494bf6af7675] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Conditional-information-under-deterministic-coordinate-sweeps-September-26-2026/main.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0214. Conditional permutations in a revealed switching environment [OAIP-ce6a8a7cfdd5] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Conditional-permutations-in-a-revealed-switching-environment-September-26-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0215. Conformal flow and the Riemannian Penrose inequality with minimizing frontiers [OAIP-99aff5b377bf] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Conformal-flow-and-the-Riemannian-Penrose-inequality-with-minimizing-frontiers-September-27-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0216. Conformal Limits of Critical Square-Lattice Random-Cluster Interfaces [OAIP-e14c444fd0dd] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Conformal-Limits-of-Critical-Square-Lattice-Random-Cluster-Interfaces-October-5-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0217. Conformal universality of bulk Ising correlations under weak interactions [OAIP-526dfb9118d2] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Conformal-universality-of-bulk-Ising-correlations-under-weak-interactions-September-23-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0218. Constant-factor hardness of directed feedback vertex set [OAIP-aa17b35bdadf] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Constant-factor-hardness-of-directed-feedback-vertex-set-September-23-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0219. Constant-factor hardness of Min-UnCut [OAIP-c5d4813f293d] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Constant-factor-hardness-of-Min-UnCut-September-23-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0220. Constant-factor hardness of uniform sparsest cut [OAIP-669f1c1402a6] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Constant-factor-hardness-of-uniform-sparsest-cut-September-24-2026/Constant-factor-hardness-of-uniform-sparsest-cut-September-24-2026.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0221. Constructible tame Hecke eigensheaves in positive characteristic [OAIP-18aa6aa885b4] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Constructible-tame-Hecke-eigensheaves-in-positive-characteristic-October-5-2026/constructible-tame-hecke-eigensheaves-positive-characteristic.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0222. Contact Fano manifolds and the LeBrun–Salamon conjecture [OAIP-fa36a2613dcf] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Contact-Fano-manifolds-and-the-LeBrun-Salamon-conjecture-September-23-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0223. Continuous Phase Foliations Create Analytic Caustic Collars [OAIP-a33520af93cb] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Continuous-Phase-Foliations-Create-Analytic-Caustic-Collars-September-24-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0224. Continuum Coulomb hardness with binary nuclear charges [OAIP-7d26e5d3bd17] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Continuum-Coulomb-hardness-with-binary-nuclear-charges-September-24-2026/Continuum-Coulomb-hardness-with-binary-nuclear-charges-September-24-2026.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0225. Correspondence coloring graphs with a forbidden clique [OAIP-39a104c4bd13] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Correspondence-Coloring-Graphs-with-a-Forbidden-Clique-October-5-2026/correspondence-coloring-forbidden-clique.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0226. Counterexamples to the duality conjecture for metric entropy [OAIP-5ffc4ea55241] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Counterexamples-to-the-duality-conjecture-for-metric-entropy-September-24-2026/main.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0227. Counterexamples to the Hahn-Wilson conjecture at height two [OAIP-826d0071f95c] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Counterexamples-to-the-Hahn-Wilson-conjecture-at-height-two-September-26-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0228. Counterexamples to weak chromatic splitting: sphere kernels and descent exponents [OAIP-01f8301089b5] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Counterexamples-to-weak-chromatic-splitting-sphere-kernels-and-descent-exponents-September-27-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0229. Critical bond and site percolation on the cubic lattice [OAIP-e39276f15ac5] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Critical-bond-and-site-percolation-on-the-cubic-lattice-September-24-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0230. Critical Center Magnetization in the Planar XY Model [OAIP-6b00b1a0e376] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Critical-Center-Magnetization-in-the-Planar-XY-Model-October-5-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0231. Critical honeycomb chords with prescribed boundary endpoints [OAIP-1623bdbccc2a] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Critical-honeycomb-chords-with-prescribed-boundary-endpoints-September-26-2026/main.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0232. Critical local smoothing for the three-dimensional wave equation [OAIP-eb51b4d542e2] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Critical-local-smoothing-for-the-three-dimensional-wave-equation-September-24-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0233. Critical mixing in the Sherrington–Kirkpatrick model [OAIP-ae7b730a28a3] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Critical-mixing-in-the-Sherrington-Kirkpatrick-model-September-25-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0234. Critical slowing down in the Sherrington–Kirkpatrick model [OAIP-616b3348b753] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Critical-slowing-down-in-the-Sherrington-Kirkpatrick-model-September-24-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0235. Critical strip-crossing mass on the honeycomb lattice [OAIP-ee954b0db730] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Critical-strip-crossing-mass-on-the-honeycomb-lattice-September-26-2026/main.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0236. Cuntz comparison and Jiang–Su absorption [OAIP-cc2f431e1d29] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Cuntz-comparison-and-Jiang-Su-absorption-September-23-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0237. Cutoff throughout the high-temperature Sherrington–Kirkpatrick phase [OAIP-5a1b81f87594] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Cutoff-throughout-the-high-temperature-Sherrington-Kirkpatrick-phase-September-24-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0238. Cycle--clique Ramsey numbers [OAIP-4da790099008] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Cycle-clique-Ramsey-numbers-September-25-2026/Cycle-clique-Ramsey-numbers-September-25-2026.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0239. Cyclic length and chromatic fixed-point loss [OAIP-66e658bd95e9] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Cyclic-Length-and-Chromatic-Fixed-Point-Loss-September-24-2026/Cyclic-Length-and-Chromatic-Fixed-Point-Loss-September-24-2026.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0240. Cylinder amplitudes and logarithmic bridge-length windows on the honeycomb lattice [OAIP-16d0f105b651] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Cylinder-amplitudes-and-logarithmic-bridge-length-windows-on-the-honeycomb-lattice-September-26-2026/main.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0241. Cylinder loop weights and planar nesting [OAIP-27978ff68108] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Cylinder-loop-weights-and-planar-nesting-September-26-2026/main.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0242. Deforming hypersymplectic four-manifolds to hyperkähler triples [OAIP-775ce49953e7] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Deforming-hypersymplectic-four-manifolds-to-hyperkahler-triples-October-7-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0243. Determination of a metric and a unitary connection from one boundary patch [OAIP-115323e965bf] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Determination-of-a-metric-and-a-unitary-connection-from-one-boundary-patch-October-5-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0244. Deterministic nonbipartite Ramanujan graphs in every fixed degree [OAIP-c2e0035f6d20] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Deterministic-nonbipartite-Ramanujan-graphs-in-every-fixed-degree-September-23-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0245. Deterministic Polynomial Factorization over Prime Fields [OAIP-783e6a92fa7a] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Deterministic-Polynomial-Factorization-over-Prime-Fields-October-4-2026/Deterministic-Polynomial-Factorization-over-Prime-Fields.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0246. Deterministic quasipolynomial-time mean-payoff games [OAIP-d65a80b5538b] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Deterministic-quasipolynomial-time-mean-payoff-games-September-25-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0247. Diagonal Fourier extension for positively curved surfaces in three dimensions [OAIP-e8cc764c1b5c] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Diagonal-Fourier-extension-for-positively-curved-surfaces-in-three-dimensions-September-24-2026/Diagonal-Fourier-extension-for-positively-curved-surfaces-in-three-dimensions-September-24-2026.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0248. Directional transience implies ballisticity [OAIP-e372ffc986a2] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Directional-transience-implies-ballisticity-September-23-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0249. Disk transfer representations and confined bridge mass [OAIP-3a5149b0a538] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Disk-transfer-representations-and-confined-bridge-mass-September-26-2026/main.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0250. Distortion of countably branching diamonds from midpoint and tree energies [OAIP-75b77f9a83cb] Authors: not yet recorded First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Diamond-distortion-from-midpoint-and-tree-energies-September-27-2026/manuscript.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0251. Donovan's Conjecture over Algebraically Closed Fields [OAIP-f3253c6ba2a6] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Donovans-Conjecture-over-Algebraic-Closures-of-Prime-Fields-September-24-2026/main.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0252. Edit Distance in l1: Matching Bounds up to Constants in the Exponent [OAIP-2acb38d51dc8] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Edit-Distance-in-l1-Matching-Bounds-up-to-Constants-in-the-Exponent-September-27-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0253. Electromagnetic tails and the Kerr–Newman Penrose inequality [OAIP-63f7bfe52b2d] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Electromagnetic-tails-and-the-Kerr-Newman-Penrose-inequality-October-5-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0254. Elementary positivity of chromatic quasisymmetric functions [OAIP-9d0e411beb71] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Elementary-Positivity-of-Chromatic-Quasisymmetric-Functions-September-24-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0255. Elliptic capacity propagation and Fourier restriction to the sphere [OAIP-e2a3a7498352] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Elliptic-capacity-propagation-and-Fourier-restriction-to-the-sphere-September-24-2026/Elliptic-capacity-propagation-and-Fourier-restriction-to-the-sphere-September-24-2026.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0256. Elliptic squares and Zilber–Pink for curves in A2 [OAIP-b74213ff4d7c] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Elliptic-Squares-and-Zilber-Pink-for-Curves-in-A2-September-24-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0257. Endpoint convergence for the planar Schrodinger equation [OAIP-aba6f578d8e5] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Endpoint-convergence-for-the-planar-Schrodinger-equation-September-24-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0258. Endpoint pointwise convergence for the Schrodinger equation in higher dimensions [OAIP-5cfa80856f1b] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Endpoint-pointwise-convergence-for-the-Schrodinger-equation-in-higher-dimensions-September-24-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0259. Entanglement with zero distillable secret key in local dimension ten [OAIP-c663b6e48cee] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Entanglement-with-zero-distillable-secret-key-in-local-dimension-ten-September-27-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0260. Entropy and Face Dimension of the Perfect-Matching Polytope [OAIP-9c9bb2a021e0] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Entropy-and-Face-Dimension-of-the-Perfect-Matching-Polytope-September-23-2026/main.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0261. Entropy equality and local symmetry in negative curvature [OAIP-8a5e3613110c] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Entropy-equality-and-local-symmetry-in-negative-curvature-September-23-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0262. Equality and rigidity in the spacetime Penrose inequality [OAIP-97aeb16052f2] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Equality-and-rigidity-in-the-spacetime-Penrose-inequality-September-27-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0263. Equality cases in the sharp one-dimensional matrix Lieb–Thirring inequality [OAIP-5bf2f618b4e7] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Equality-cases-in-the-sharp-one-dimensional-matrix-Lieb-Thirring-inequality-October-5-2026/sharp-one-dimensional-lieb-thirring-inequalities-matrix-potentials.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0264. Equidistribution of Prime-Degree Torus Packets with Arbitrary Local Type [OAIP-56f4a0f27af6] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Equidistribution-of-Prime-Degree-Torus-Packets-with-Arbitrary-Local-Type-September-24-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0265. Equidistribution of primitive quartic torus packets for arbitrary orders [OAIP-1106c030fb2a] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Equidistribution-of-Primitive-Quartic-Torus-Packets-for-Arbitrary-Orders-October-5-2026/quartic-torus-packets.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0266. Equidistribution of Primitive Sextic Torus Packets [OAIP-d53d47dc1457] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Equidistribution-of-Primitive-Sextic-Torus-Packets-October-5-2026/primitive-sextic-torus-packets.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0267. Equivariant Jiang–Su Stability for Amenable Actions in the Unital Stably Finite Case [OAIP-cbb61a6c74b4] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Equivariant-Jiang-Su-Stability-for-Amenable-Actions-in-the-Unital-Stably-Finite-Case-October-5-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0268. Ergodicity of triangular billiards with an irrational angle [OAIP-e1d8affed60e] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Ergodicity-of-triangular-billiards-with-an-irrational-angle-September-25-2026/Ergodicity-of-triangular-billiards-with-an-irrational-angle-September-25-2026.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0269. Essential Singularity of the Correlation Length in the Planar XY Model [OAIP-962f604458da] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Essential-Singularity-of-the-Correlation-Length-in-the-Planar-XY-Model-October-5-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0270. Eventual categoricity for abstract elementary classes [OAIP-5ca05aedac5e] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Eventual-Categoricity-for-Abstract-Elementary-Classes-September-24-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0271. Every complex K3 surface is Oka [OAIP-c482e720561f] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Every-complex-K3-surface-is-Oka-September-23-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0272. Every four-dimensional Kakeya set has full Hausdorff dimension [OAIP-aeaee36af8d9] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Every-four-dimensional-Kakeya-set-has-full-Hausdorff-dimension-September-24-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0273. Exact asymptotic moduli in a Daugavet subspace of L1 [OAIP-4780f8d66ef6] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Exact-asymptotic-moduli-in-a-Daugavet-subspace-of-L1-September-27-2026/manuscript.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0274. Exact Birch–Swinnerton-Dyer Formula from Low Selmer Corank [OAIP-aee3a541adf8] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Exact-Birch-Swinnerton-Dyer-Formula-from-Low-Selmer-Corank-October-7-2026/exact-bsd-low-selmer-corank.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0275. Exact derandomization of logarithmic space: L = RL = BPL [OAIP-5e1afd211ac9] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Exact-Derandomization-of-Logarithmic-Space-L-equals-RL-equals-BPL-September-23-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0276. Exact Fourier certificates for complex Hadamard matrices of order six [OAIP-b5fb6ecf9f4e] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Exact-Fourier-certificates-for-complex-Hadamard-matrices-of-order-six-September-24-2026/Exact-Fourier-certificates-for-complex-Hadamard-matrices-of-order-six-September-24-2026.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0277. Exact mass asymptotics for the two-dimensional O(4) lattice model [OAIP-609796b35407] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Exact-mass-asymptotics-for-the-two-dimensional-O4-lattice-model-October-5-2026/exact-mass-o4.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0278. Exact orders and invariant anticanonical linear systems [OAIP-56fbb334c965] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Exact-orders-and-invariant-anticanonical-linear-systems-September-26-2026/main.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0279. Exact quantum factoring over a fixed finite gate set [OAIP-6bbfd91532a4] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Exact-quantum-factoring-over-a-fixed-finite-gate-set-September-25-2026/main.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0280. Exact Uniform Sampling of Contingency Tables with Arbitrary Margins [OAIP-4e6e42294d0e] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Exact-Uniform-Sampling-of-Contingency-Tables-with-Arbitrary-Margins-September-24-2026/main.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0281. Existential–universal real sentences in the counting hierarchy [OAIP-25f9db8c418d] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Existential-universal-real-sentences-in-the-counting-hierarchy-October-4-2026/etr-counting-hierarchy.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0282. Expected amenable subalgebras preserving core commutants [OAIP-f8034a5e3d4f] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Expected-amenable-subalgebras-preserving-core-commutants-September-23-2026/Expected-amenable-subalgebras-preserving-core-commutants-September-23-2026.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0283. Exponential decay in two-dimensional classical O(n) models [OAIP-97174ff47fee] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Exponential-decay-in-two-dimensional-classical-On-models-September-23-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0284. Exponential PSD rank of positively shifted matching matrices [OAIP-62ba08d788e1] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Exponential-PSD-rank-of-positively-shifted-matching-matrices-October-5-2026/shifted-matching-psd.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0285. Failure of finite assembly for a chromatic overlap at the prime three [OAIP-7498f13747e9] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Failure-of-finite-assembly-for-a-chromatic-overlap-at-the-prime-three-September-25-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0286. Failure of rational injectivity for maximal coarse assembly [OAIP-5a25eb51a4f7] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Failure-of-rational-injectivity-for-maximal-coarse-assembly-October-5-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0287. Fiber functors for finite symmetric tensor categories in positive characteristic [OAIP-ced36e9f9f1d] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Fiber-functors-for-finite-symmetric-tensor-categories-in-positive-characteristic-September-24-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0288. Filtered chromatic splitting at generic primes [OAIP-afb117082c68] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Filtered-chromatic-splitting-at-generic-primes-September-25-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0289. Filtered products and boundary-preserving compression in complex cobordism [OAIP-e58a8a38a37e] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Filtered-products-and-boundary-preserving-compression-in-complex-cobordism-September-25-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0290. Finite algebraic envelopes and the Boone–Higman conjecture [OAIP-e09f76f13ae2] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Finite-algebraic-envelopes-and-the-Boone-Higman-conjecture-September-23-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0291. Finite angular cylinder covers below the half-area bound [OAIP-263300816e2d] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Finite-angular-cylinder-covers-below-the-half-area-bound-September-27-2026/main.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0292. Finite congruence lattices: characterization and undecidability [OAIP-815639a19682] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Finite-Congruence-Lattices-Characterization-and-Undecidability-September-24-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0293. Finite cylinder approximation of ruled sets [OAIP-7c02dfe822dd] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Finite-cylinder-approximation-of-ruled-sets-September-27-2026/main.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0294. Finite generation for the K(n)-local sphere [OAIP-a9ca7e181a56] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Finite-generation-for-the-Kn-local-sphere-September-24-2026/Finite-generation-for-the-Kn-local-sphere-September-24-2026.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0295. Finite Instructions and Solenoidal Shear Flows [OAIP-42d9ff393813] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Finite-Instructions-and-Solenoidal-Shear-Flows-September-27-2026/manuscript.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0296. Finite Monoid Computations and a Uniform Generalized Star-Height Bound [OAIP-2404f147f0b4] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Finite-Monoid-Computations-and-a-Uniform-Generalized-Star-Height-Bound-September-25-2026/Finite-Monoid-Computations-and-a-Uniform-Generalized-Star-Height-Bound-September-25-2026.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0297. Finite ordinary minimal model programs on compact Kähler fourfolds [OAIP-9cd0efd42123] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Finite-ordinary-minimal-model-programs-on-compact-Kahler-fourfolds-September-24-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0298. Finite ordinary minimal model programs on compact Kähler fourfolds [OAIP-d03c3408afe7] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Finite-ordinary-minimal-model-programs-on-compact-Kahler-fourfolds-October-6-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0299. Finite Smith–Toda Complexes at Varying Primes [OAIP-856e79ae2ece] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Finite-Smith-Toda-Complexes-at-Varying-Primes-September-23-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0300. Finite tensor savings and exact Fourier circuits [OAIP-141aacc64c4a] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Finite-tensor-savings-and-exact-Fourier-circuits-September-25-2026/main.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0301. Finite triangular approximation of radial sweeps [OAIP-5d1bd9d0543e] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Finite-triangular-approximation-of-radial-sweeps-September-27-2026/main.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0302. Finite-Circle Obstructions, Binary Codes, and Histogram Embeddings for Edit Distance [OAIP-0e6d73d00d94] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Finite-Circle-Obstructions-Binary-Codes-and-Histogram-Embeddings-for-Edit-Distance-September-27-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0303. Fixed Points of Nonexpansive Maps in Reflexive Banach Spaces [OAIP-a197f071849b] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Fixed-Points-of-Nonexpansive-Maps-in-Reflexive-Banach-Spaces-September-24-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0304. Fixed-energy universality for weak Anderson disorder on random regular graphs [OAIP-0730226000ea] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Fixed-energy-universality-for-weak-Anderson-disorder-on-random-regular-graphs-October-5-2026/fixed-energy-universality-weak-anderson-disorder-random-regular-graphs.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0305. Fontaine–Mazur modularity at the prime 2 [OAIP-f63d29ba34eb] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Fontaine-Mazur-modularity-at-the-prime-2-October-6-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0306. Foulkes' conjecture for the sixth symmetric power [OAIP-9f896285de4d] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Foulkes-Conjecture-for-the-Sixth-Symmetric-Power-September-25-2026/main.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0307. Fourfold nonvanishing by minimal metrics and moving jets [OAIP-097f3c56951b] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Fourfold-nonvanishing-by-minimal-metrics-and-moving-jets-September-27-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0308. Frobenius Structures on Tame Hecke Eigensheaves [OAIP-dbe60f3502ee] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Frobenius-Structures-on-Tame-Hecke-Eigensheaves-October-5-2026/tame-hecke-frobenius.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0309. From critical crossings to quenched near-critical universality in Voronoi percolation [OAIP-b0b29e21115b] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/From-critical-crossings-to-quenched-near-critical-universality-in-Voronoi-percolation-October-5-2026/critical-crossings-quenched-near-critical-universality-voronoi-percolation.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0310. From partial permutation information to Fourier bounds [OAIP-d7bc9b13ce9f] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/From-partial-permutation-information-to-Fourier-bounds-September-26-2026/main.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0311. Fujita's freeness conjecture [OAIP-2cc2bedc293a] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Fujitas-freeness-conjecture-September-23-2026/Fujitas-freeness-conjecture-September-23-2026.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0312. Full support of the zero-temperature Sherrington-Kirkpatrick order parameter [OAIP-e4eaac552434] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Full-support-of-the-zero-temperature-Sherrington-Kirkpatrick-order-parameter-September-27-2026/main.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0313. Functional universality of critical SK autocorrelations [OAIP-82d889f640f7] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Functional-universality-of-critical-SK-autocorrelations-October-5-2026/critical-sk-autocorrelations.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0314. Gaussian free-field limits of weighted integer Lipschitz heights [OAIP-189e92631824] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Gaussian-free-field-limits-of-weighted-integer-Lipschitz-heights-October-6-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0315. Generalized Cartan–Hadamard isoperimetry and Euclidean equality rigidity [OAIP-9808a190babf] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Generalized-Cartan-Hadamard-isoperimetry-and-Euclidean-equality-rigidity-September-23-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0316. Generalized ionization energies for full Coulomb atoms [OAIP-40b327717c5b] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Generalized-ionization-energies-for-full-Coulomb-atoms-September-24-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0317. Generalized outer-electron radii of neutral Coulomb atoms [OAIP-685af7aa0ce8] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Generalized-outer-electron-radii-of-neutral-Coulomb-atoms-September-24-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0318. Generalized Star Height at Most Four [OAIP-2e19fd6a8570] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Generalized-Star-Height-at-Most-Four-September-25-2026/Generalized-Star-Height-at-Most-Four-September-25-2026.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0319. Generalized Star Height at Most Three [OAIP-2a7d1782ad71] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Generalized-Star-Height-at-Most-Three-September-25-2026/article.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0320. Generic C1 Future Inextendibility Near Rotating Subextremal Kerr Spacetimes [OAIP-2f2b86de0541] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Generic-C1-Future-Inextendibility-Near-Rotating-Subextremal-Kerr-Spacetimes-September-23-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0321. Generic Future Inextendibility with Square-Integrable Connection Near a Fixed Kerr Spacetime [OAIP-1080853e040c] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Generic-Future-Inextendibility-with-Square-Integrable-Connection-Near-a-Fixed-Kerr-Spacetime-September-23-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0322. Geometric Programs for Solenoidal Forcing [OAIP-6fadd80320be] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Geometric-Programs-for-Solenoidal-Forcing-September-27-2026/manuscript.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0323. Gigli’s distributional curvature characterization of Alexandrov spaces [OAIP-89aaa979e36f] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Giglis-distributional-curvature-characterization-of-Alexandrov-spaces-September-24-2026/main.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0324. Global Arthur Enhancements of Cuspidal Excursion Parameters [OAIP-efdce37425d7] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Global-Arthur-Enhancements-of-Cuspidal-Excursion-Parameters-October-5-2026/manuscript.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0325. Global classical solutions of the three-dimensional relativistic Vlasov–Maxwell system [OAIP-8d5f9c2ed905] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Global-classical-solutions-of-the-three-dimensional-relativistic-Vlasov-Maxwell-system-September-23-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0326. Global quantum geometric Langlands at irrational level [OAIP-7c40db5babc2] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Global-quantum-geometric-Langlands-at-irrational-level-October-4-2026/quantum-langlands.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0327. Global Spherical Shells on Minimal Surfaces of Class VII [OAIP-7c19d149c9f2] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Global-Spherical-Shells-on-Minimal-Surfaces-of-Class-VII-September-24-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0328. Global Support and Convex Injectivity Domains under Weak MTW [OAIP-ce31113d2b42] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Global-Support-and-Convex-Injectivity-Domains-under-Weak-MTW-September-25-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0329. Global Uniqueness for the Smooth Isotropic Elasticity Inverse Problem [OAIP-896ace9df9a3] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Global-Uniqueness-for-the-Smooth-Isotropic-Elasticity-Inverse-Problem-September-24-2026/article.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0330. GOE bulk universality for fixed-degree random regular graphs [OAIP-ed95e96eb1dd] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/GOE-bulk-universality-for-fixed-degree-random-regular-graphs-September-23-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0331. Goldfeld's analytic density conjecture and the 2-converse for elliptic curves [OAIP-4e07e64d4982] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Goldfelds-analytic-density-conjecture-and-the-2-converse-for-elliptic-curves-October-7-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0332. Graph Decompositions at the Integral Expectation Threshold [OAIP-75ab7f2d7d71] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Graph-Decompositions-at-the-Integral-Expectation-Threshold-October-5-2026/graph-threshold-decompositions.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0333. Ground-state condensation in the dilute hard-sphere gas [OAIP-6d96b083c74f] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Ground-state-condensation-in-the-dilute-hard-sphere-gas-September-24-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0334. Hamiltonian Fixed Points Below the Stable Morse Number [OAIP-245272002983] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Hamiltonian-Fixed-Points-Below-the-Stable-Morse-Number-October-5-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0335. Hamiltonian Fixed Points Below the Stable Morse Number in Dimension Twenty-Two [OAIP-ceac3ebde5cc] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Hamiltonian-Fixed-Points-Below-the-Stable-Morse-Number-in-Dimension-Twenty-Two-October-5-2026/hamiltonian-fixed-points-below-stable-morse-number.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0336. Hard-sphere fluctuations on the regular Boltzmann lifespan [OAIP-5d4c98d2f1ac] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Hard-sphere-fluctuations-on-the-regular-Boltzmann-lifespan-September-23-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0337. Hardness of finding large independent sets in three-colorable graphs [OAIP-739714f8b0fb] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Hardness-of-finding-large-independent-sets-in-three-colorable-graphs-September-24-2026/Hardness-of-finding-large-independent-sets-in-three-colorable-graphs-September-24-2026.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0338. Harmonic heights and the Artin K(pi,1) conjecture [OAIP-dfc905d0fe1f] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Harmonic-heights-and-the-Artin-K-pi-1-conjecture-September-23-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0339. Hellinger contraction with arbitrary Boolean output bias [OAIP-77c6b4075ae8] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Hellinger-contraction-with-arbitrary-Boolean-output-bias-September-24-2026/main.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0340. Hilbert’s tenth problem over the rational numbers [OAIP-348091debfdd] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Hilberts-tenth-problem-over-the-rational-numbers-October-6-2026/main.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0341. Homogeneous depth-five lower bounds for iterated matrix multiplication [OAIP-15b46a0552dd] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Homogeneous-depth-five-lower-bounds-for-iterated-matrix-multiplication-September-25-2026/Homogeneous-depth-five-lower-bounds-for-iterated-matrix-multiplication-September-25-2026.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0342. Hyperbolicity Cones Without Semidefinite Lifts [OAIP-d2a2e35ed58f] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Hyperbolicity-Cones-Without-Semidefinite-Lifts-October-5-2026/nonliftable-hyperbolicity.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0343. Incompressible Box Transport and Finite Computation [OAIP-4edde418b998] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Incompressible-Box-Transport-and-Finite-Computation-October-6-2026/manuscript.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0344. Independent products in real L1: asymptotic midpoint convexity without AUC renormings [OAIP-f06c7317d46b] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Independent-products-in-real-L1-asymptotic-midpoint-convexity-without-AUC-renormings-September-27-2026/manuscript.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0345. Infinitely many closed geodesic images on every Riemannian sphere [OAIP-a6e8868be3ba] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Infinitely-many-closed-geodesic-images-on-every-Riemannian-sphere-September-24-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0346. Integer multiplication below n log n [OAIP-0a12f9cb6842] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Integer-multiplication-below-n-log-n-September-23-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0347. Integrability of split tangent bundles on rationally connected manifolds [OAIP-d9b0c2c323f8] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Integrability-of-split-tangent-bundles-on-rationally-connected-manifolds-September-23-2026/main.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0348. Integrable metrics and effectivity with controlled boundary [OAIP-b96648a46d9f] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Integrable-metrics-and-effectivity-with-controlled-boundary-September-26-2026/main.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0349. Integral and fractional expectation thresholds are equivalent [OAIP-0a3cd65e30e2] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Integral-and-fractional-expectation-thresholds-are-equivalent-September-23-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0350. Integral Donovan Finiteness over Witt Vectors [OAIP-6dd4e927f031] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Integral-Donovan-Finiteness-over-Witt-Vectors-September-25-2026/main.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0351. Integral points on character varieties of curves [OAIP-746c4859bd00] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Integral-points-on-character-varieties-of-curves-September-25-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0352. Interior regularity of planar Mumford–Shah minimizers [OAIP-47de73ec1cf8] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Interior-regularity-of-planar-Mumford-Shah-minimizers-September-24-2026/Interior-regularity-of-planar-Mumford-Shah-minimizers-September-24-2026.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0353. Invariant anticanonical indices and conversion of twisted differentials [OAIP-1177aafffd65] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Invariant-anticanonical-indices-and-conversion-of-twisted-differentials-September-26-2026/main.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0354. Invariant-projection counterexamples for every irrational rotation [OAIP-84a4ab6a552b] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Invariant-projection-counterexamples-for-every-irrational-rotation-September-27-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0355. Irrational cubic fourfolds with geometric K3 categories [OAIP-64185cbf8d42] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Irrational-cubic-fourfolds-with-geometric-K3-categories-September-24-2026/Irrational-cubic-fourfolds-with-geometric-K3-categories-September-24-2026.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0356. Kadison's similarity theorem through uniform derivation estimates [OAIP-c6f25d0e5f45] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Kadisons-similarity-theorem-through-uniform-derivation-estimates-September-23-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0357. Koebe's Circle-Domain Conjecture [OAIP-635c35e8df00] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Koebes-Circle-Domain-Conjecture-September-23-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0358. L1 Embeddings of Graphs of Bounded Treewidth [OAIP-a732d1138d04] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/L1-Embeddings-of-Graphs-of-Bounded-Treewidth-September-23-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0359. Lech's multiplicity conjecture [OAIP-18bb880a24f9] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Lechs-multiplicity-conjecture-September-23-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0360. Lifting sections from the reduced support of an adjoint [OAIP-b601dd5aa191] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Lifting-sections-from-the-reduced-support-of-an-adjoint-September-27-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0361. Linear Variance of the Random 3-SAT Hitting Time [OAIP-54be7a75dcfe] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Linear-Variance-of-the-Random-3-SAT-Hitting-Time-October-5-2026/linear-variance-of-the-random-3-sat-hitting-time.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0362. Lipschitz Equivalent Separable Banach Spaces Need Not Be Linearly Isomorphic [OAIP-b388059c652b] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Lipschitz-Equivalent-Separable-Banach-Spaces-Need-Not-Be-Linearly-Isomorphic-September-24-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0363. Localization costs and information growth for exact Gaussian observations [OAIP-a5921432de00] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Localization-costs-and-information-growth-for-exact-Gaussian-observations-September-27-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0364. Log abundance for compact Kähler spaces under logarithmic Iitaka subadditivity [OAIP-424f5ed2215b] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Log-abundance-for-compact-Kahler-spaces-under-logarithmic-Iitaka-subadditivity-October-6-2026/main.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0365. Log abundance in characteristic zero [OAIP-b377a2b00e07] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Log-abundance-in-characteristic-zero-September-24-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0366. Log abundance in numerical dimension one for threefolds in positive characteristic [OAIP-ea927814ebab] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Log-abundance-in-numerical-dimension-one-for-threefolds-in-positive-characteristic-October-5-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0367. Logarithmic Kodaira dimension and whole-fiber variation [OAIP-b2fd732655b9] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Logarithmic-Kodaira-dimension-and-whole-fiber-variation-September-26-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0368. Logarithmic Relative Fluctuations in the Weakly Disordered Planar Ising Model [OAIP-55ccdb521eb4] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Logarithmic-Relative-Fluctuations-in-the-Weakly-Disordered-Planar-Ising-Model-October-5-2026/critical-relative-second-moment-weak-random-bond-ising.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0369. Marked polygon correlations and one-arc bounds [OAIP-7c8d8c156d08] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Marked-polygon-correlations-and-one-arc-bounds-September-26-2026/main.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0370. Mass and covering exponents for fixed-length honeycomb walks [OAIP-2b2060590067] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Mass-and-covering-exponents-for-fixed-length-honeycomb-walks-September-26-2026/main.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0371. Maximal Multipoint Seshadri Constants in Higher Dimensions [OAIP-94c4fa385731] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Maximal-Multipoint-Seshadri-Constants-in-Higher-Dimensions-October-5-2026/main.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0372. Maximal multipoint Seshadri constants in positive characteristic [OAIP-f38457a50f77] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Maximal-multipoint-Seshadri-constants-in-positive-characteristic-October-5-2026/seshadri-positive-characteristic.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0373. Maximal Seshadri constants on arbitrary polarized surfaces [OAIP-d7ef9ee23794] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Maximal-Seshadri-Constants-on-Arbitrary-Polarized-Surfaces-September-23-2026/main.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0374. Mean-payoff parity games in quasipolynomial time [OAIP-d1bf6ad8e419] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Mean-payoff-parity-games-in-quasipolynomial-time-October-5-2026/mean-payoff-parity.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0375. Memory and precision in noiseless Gaussian regression [OAIP-6439eb3dd342] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Memory-and-precision-in-noiseless-Gaussian-regression-September-27-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0376. Metric descent and rank-preserving contractions [OAIP-95d893aa2d2f] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Metric-descent-and-rank-preserving-contractions-September-26-2026/main.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0377. Metric Markov Cotype Two of ℓ1 [OAIP-fc6738ad200d] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Metric-Markov-Cotype-Two-of-l1-October-5-2026/l1-markov-cotype.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0378. Metric-measure limits of subcritical FK and spanning-tree planar maps [OAIP-b64da6673813] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Metric-measure-limits-of-subcritical-FK-and-spanning-tree-planar-maps-September-24-2026/main.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0379. Microscopic jamming in the negative spherical perceptron [OAIP-8b82a915c4c2] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Microscopic-jamming-in-the-negative-spherical-perceptron-September-24-2026/Microscopic-jamming-in-the-negative-spherical-perceptron-September-24-2026.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0380. Midpoint convexity from bounded tree potentials and path costs [OAIP-89d1de750a18] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Midpoint-convexity-from-bounded-tree-potentials-and-path-costs-September-27-2026/manuscript.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0381. Midpoint convexity from two recursive potentials [OAIP-af1f68c8e3f9] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Midpoint-convexity-from-two-recursive-potentials-September-27-2026/manuscript.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0382. Midpoint lenses in segment spaces [OAIP-9c490b1b2dd8] Authors: not yet recorded First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Midpoint-lenses-in-segment-spaces-September-27-2026/manuscript.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0383. Milne's rationality conjecture for abelian varieties [OAIP-41244e599988] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Milnes-rationality-conjecture-for-abelian-varieties-October-7-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0384. Minimal metrics and interior injectivity for nef adjoints [OAIP-a5e49d36c533] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Minimal-metrics-and-interior-injectivity-for-nef-adjoints-September-27-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0385. Minimal models and Mori fibre spaces for generalized log canonical Q-pairs [OAIP-c2ec482185c7] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Minimal-models-and-Mori-fibre-spaces-for-generalized-log-canonical-Q-pairs-September-24-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0386. Minimal models in numerical dimension one [OAIP-2b06c4ac1774] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Minimal-models-in-numerical-dimension-one-September-24-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0387. Modularity of elliptic curves over imaginary quadratic fields [OAIP-d5bba57c7bc1] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Modularity-of-elliptic-curves-over-imaginary-quadratic-fields-October-4-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0388. Monochromatic finite sums and products in the positive integers [OAIP-f0e22ea0125d] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Monochromatic-finite-sums-and-products-in-the-positive-integers-September-23-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0389. Nagata's conjecture for plane curves [OAIP-1ccf84aff034] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Nagatas-Conjecture-for-Plane-Curves-September-23-2026/main.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0390. Natural Occupation Measures for Critical Square-Lattice FK Interfaces [OAIP-4a539d16cc36] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Natural-Occupation-Measures-for-Critical-Square-Lattice-FK-Interfaces-October-5-2026/natural-occupation-measures-critical-square-lattice-fk-interfaces.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0391. Near Inclusions of von Neumann Algebras Without Small Spatial Embeddings [OAIP-99d6660d6ae0] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Near-Inclusions-of-von-Neumann-Algebras-Without-Small-Spatial-Embeddings-October-5-2026/near-inclusions.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0392. Near-square-root logarithmic integrality gaps for uniform sparsest cut [OAIP-b26f379b6eb4] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Near-square-root-logarithmic-integrality-gaps-for-uniform-sparsest-cut-September-24-2026/Near-square-root-logarithmic-integrality-gaps-for-uniform-sparsest-cut-September-24-2026.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0393. Nearly minimal maxima and positive minima of Littlewood polynomials [OAIP-a32daef83e1a] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Nearly-minimal-maxima-and-positive-minima-of-Littlewood-polynomials-October-5-2026/littlewood-lower-envelope.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0394. No bigeodesics in planar first-passage percolation [OAIP-851efc97fc7a] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/No-bigeodesics-in-planar-first-passage-percolation-September-24-2026/main.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0395. No percolation at criticality on quasi-transitive graphs [OAIP-f82b2664889e] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/No-percolation-at-criticality-on-quasi-transitive-graphs-September-24-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0396. Nonhomeomorphic closed aspherical four-manifolds with the same homotopy type [OAIP-12e002896491] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Nonhomeomorphic-closed-aspherical-four-manifolds-with-the-same-homotopy-type-October-4-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0397. Nonsingular systems of equations over arbitrary groups [OAIP-96f3844b49d3] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Nonsingular-systems-of-equations-over-arbitrary-groups-October-5-2026/nonsingular-systems-over-arbitrary-groups.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0398. Nontrivial Markov Type Forces Superreflexivity [OAIP-c8dfd12cc5f5] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Nontrivial-Markov-Type-Forces-Superreflexivity-September-23-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0399. Nonuniqueness for bounded measurable scalar conductivities in three dimensions [OAIP-9fd1f8b08780] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Nonuniqueness-for-Bounded-Measurable-Scalar-Conductivities-in-Three-Dimensions-September-23-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0400. Nonuniqueness for the periodic hard-sphere Boltzmann equation [OAIP-6743b7622853] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Nonuniqueness-for-the-periodic-hard-sphere-Boltzmann-equation-September-23-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0401. Nonuniqueness of percolation on nonamenable quasi-transitive graphs [OAIP-18e943ed19ef] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Nonuniqueness-of-percolation-on-nonamenable-quasi-transitive-graphs-September-24-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0402. Nonuniqueness with local conservation for the hard-sphere Boltzmann equation [OAIP-809cf921ecb7] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Nonuniqueness-with-local-conservation-for-the-hard-sphere-Boltzmann-equation-October-5-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0403. Nuclear dimension and Jiang–Su stability without elementary subquotients [OAIP-46c4d1aefbc8] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Nuclear-dimension-and-Jiang-Su-stability-without-elementary-subquotients-September-23-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0404. Numerical semiampleness of nef adjoint classes on compact Kähler manifolds [OAIP-d41f9804e8ab] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Numerical-semiampleness-of-nef-adjoint-classes-on-compact-Kahler-manifolds-October-6-2026/numerical-generalized-abundance.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0405. Numerical Semiampleness of Nef Adjoint Divisors [OAIP-87816fa04c98] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Numerical-Semiampleness-of-Nef-Adjoint-Divisors-October-3-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0406. One Rational Matrix Hitting Point for Noncommutative Formulas [OAIP-e8702eb3edf4] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/One-Rational-Matrix-Hitting-Point-for-Noncommutative-Formulas-September-24-2026/One-Rational-Matrix-Hitting-Point-for-Noncommutative-Formulas-September-24-2026.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0407. One Sample Suffices for Matroid Prophet Inequalities against an Almighty Adversary [OAIP-d027c9ccbce3] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/One-Sample-Suffices-for-Matroid-Prophet-Inequalities-against-an-Almighty-Adversary-September-23-2026/final.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0408. One-sided negative sectional curvature and the holomorphic Liouville property [OAIP-077f7067ac0c] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/One-sided-negative-sectional-curvature-and-the-holomorphic-Liouville-property-September-25-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0409. Open Homomorphisms of Global Solvably Closed Galois Groups [OAIP-384881aa9dbf] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Open-Homomorphisms-of-Global-Solvably-Closed-Galois-Groups-October-5-2026/open-homomorphisms-solvably-closed-galois-groups.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0410. Optimal-order mixing of the Thorp shuffle [OAIP-025591fd075b] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Optimal-order-mixing-of-the-Thorp-shuffle-September-26-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0411. Orbifold and logarithmic Iitaka subadditivity [OAIP-052fa626f6fd] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Orbifold-and-logarithmic-Iitaka-subadditivity-September-26-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0412. Ordinary two-point correlations of multiplicative functions [OAIP-f60e4abaa8fe] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Ordinary-two-point-correlations-of-multiplicative-functions-September-24-2026/final.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0413. P=W in composite rank for fixed determinant [OAIP-1cf374a79985] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/P-equals-W-in-composite-rank-for-fixed-determinant-September-24-2026/P-equals-W-in-composite-rank-for-fixed-determinant-September-24-2026.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0414. Paired states and Hamiltonian cycles in cubic bipartite planar graphs [OAIP-ea3e29b3b62f] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Paired-states-and-Hamiltonian-cycles-in-cubic-bipartite-planar-graphs-September-24-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0415. Parabolic intersections in Artin groups [OAIP-a1e320bcc69f] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Parabolic-intersections-in-Artin-groups-September-23-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0416. Parity lifts and bounded-treewidth witnesses for Weisfeiler–Leman equivalence [OAIP-363a3d4723d5] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Parity-lifts-and-bounded-treewidth-witnesses-for-Weisfeiler-Leman-equivalence-September-25-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0417. Path selection and an elliptic inequality on degenerating Ricci-flat trees [OAIP-e191b5476d03] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Path-selection-and-an-elliptic-inequality-on-degenerating-Ricci-flat-trees-September-24-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0418. Perfect completeness for 2-to-1 games [OAIP-c4e4969e26d4] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Perfect-completeness-for-2-to-1-games-September-23-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0419. Petty’s projection-volume conjecture in dimensions at least four [OAIP-baa6c59ad25c] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Pettys-projection-volume-conjecture-in-dimensions-at-least-four-September-24-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0420. Planar Graph Metrics Embed into L1 with Constant Distortion [OAIP-1ca672e303a5] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Planar-Graph-Metrics-Embed-into-L1-with-Constant-Distortion-September-23-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0421. Pointwise convergence of fourfold ergodic averages for mixing transformations [OAIP-ce51fc685631] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Pointwise-convergence-of-fourfold-ergodic-averages-for-mixing-transformations-October-4-2026/fourfold-ergodic-averages.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0422. Pointwise convergence of triple ergodic averages for mixing transformations [OAIP-bb1dbf44dcfa] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Pointwise-convergence-of-triple-ergodic-averages-for-mixing-transformations-October-4-2026/pointwise-triple-ergodic-averages-mixing-transformations.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0423. Pointwise Multiple Ergodic Averages for Mixing Transformations [OAIP-a1092fb3827f] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Pointwise-Multiple-Ergodic-Averages-for-Mixing-Transformations-October-4-2026/multiple-ergodic-averages.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0424. Polynomial Hitting Lists for Noncommutative Rational Formulas [OAIP-677471faece5] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Polynomial-Hitting-Lists-for-Noncommutative-Rational-Formulas-September-24-2026/Polynomial-Hitting-Lists-for-Noncommutative-Rational-Formulas-September-24-2026.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0425. Polynomial mixing of the switch chain for every graphical degree sequence [OAIP-5c889f87b768] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Polynomial-Mixing-of-the-Switch-Chain-for-Every-Graphical-Degree-Sequence-September-25-2026/main.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0426. Polynomial PEPS approximation of gapped square-grid ground states [OAIP-ec1f6e4a5111] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Polynomial-PEPS-approximation-of-gapped-square-grid-ground-states-September-24-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0427. Polynomial removal fails for ordered binary matrices [OAIP-6456af5a1db5] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Polynomial-removal-fails-for-ordered-binary-matrices-September-25-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0428. Polynomial vacuum representations and bridge mass for honeycomb walks [OAIP-5757305667c1] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Polynomial-vacuum-representations-and-bridge-mass-for-honeycomb-walks-September-26-2026/main.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0429. Polynomial-Time Unitary Synthesis from a Boolean Oracle [OAIP-29911f3350ce] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Polynomial-Time-Unitary-Synthesis-from-a-Boolean-Oracle-October-5-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0430. Positive eigenvalues of the relative SU(2) BFSS Hamiltonian [OAIP-f090fd602714] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Positive-eigenvalues-of-the-relative-SU-2-BFSS-Hamiltonian-October-5-2026/positive-eigenvalues-relative-su2-bfss.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0431. Positive lower density of large prime gaps [OAIP-6c8b0cfe563a] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Positive-lower-density-of-large-prime-gaps-September-25-2026/main.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0432. Positive Metric Entropy for the Standard Map at Large Parameters [OAIP-23dfbfdae1c0] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Positive-Metric-Entropy-for-the-Standard-Map-at-Large-Parameters-September-23-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0433. Positive scalar curvature and uniform codimension-two width [OAIP-119262425903] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Positive-scalar-curvature-and-uniform-codimension-two-width-September-23-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0434. Positive scalar curvature forces rational inessentiality [OAIP-e13146f0a1d5] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Positive-scalar-curvature-forces-rational-inessentiality-September-23-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0435. Positively curved Einstein four-manifolds [OAIP-d75a3a38ab45] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Positively-curved-Einstein-four-manifolds-September-23-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0436. Positivity of Serre's Intersection Multiplicity [OAIP-46e74710c107] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Positivity-of-Serres-Intersection-Multiplicity-September-23-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0437. Posterior replicas and conditional information in Gaussian regression [OAIP-78317a39d117] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Posterior-replicas-and-conditional-information-in-Gaussian-regression-September-27-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0438. Power-law violations of Yau's nodal upper bound [OAIP-b593f382a6c7] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Power-law-violations-of-Yaus-nodal-upper-bound-September-23-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0439. Prefix Instructions and Incompressible Flows [OAIP-f85e3d65dea2] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Prefix-Instructions-and-Incompressible-Flows-September-27-2026/manuscript.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0440. Prescribed large-volume charges on threefolds with trivial canonical bundle [OAIP-5db9fa091b5b] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Prescribed-large-volume-charges-on-threefolds-with-trivial-canonical-bundle-September-24-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0441. Prime Predecessors with an Even Number of Prime Factors [OAIP-c769fbe8f003] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Prime-Predecessors-with-an-Even-Number-of-Prime-Factors-September-17-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0442. Primitive roots for every admissible integer base [OAIP-76cde1fd28d1] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Primitive-roots-for-every-admissible-integer-base-October-4-2026/primitive-roots-all-integer-bases.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0443. Product-projection localization and the QAC0 parity lower bound [OAIP-8528bb31b98e] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Product-projection-localization-and-the-QAC0-parity-lower-bound-September-24-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0444. Projection moments, positive cap domination, and Riesz estimates on the sphere [OAIP-2999ebb39d71] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Projection-moments-positive-cap-domination-and-Riesz-estimates-on-the-sphere-September-27-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0445. Projective Hodge lines and ordinary Iitaka subadditivity [OAIP-1f26bb3a15df] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Projective-Hodge-lines-and-ordinary-Iitaka-subadditivity-September-27-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0446. Projective-space bases of Lagrangian fibrations [OAIP-932a41dd33fe] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Projective-Space-Bases-of-Lagrangian-Fibrations-September-23-2026/main.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0447. Pure-Point Spectrum for the Two-Dimensional Anderson Model at Every Positive Disorder [OAIP-2f3f436e1606] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Pure-Point-Spectrum-for-the-Two-Dimensional-Anderson-Model-at-Every-Positive-Disorder-September-23-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0448. Purely cosmetic surgery on knots in the three-sphere [OAIP-41bca65a0203] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Purely-Cosmetic-Surgery-on-Knots-in-the-Three-Sphere-September-23-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0449. QAOA attains the SK ground-state energy in the thermodynamic-first limit [OAIP-6b91a1f278c8] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/QAOA-attains-the-SK-ground-state-energy-in-the-thermodynamic-first-limit-September-25-2026/QAOA-attains-the-SK-ground-state-energy-in-the-thermodynamic-first-limit-September-25-2026.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0450. QMA-hardness of continuum Coulomb energy with unit nuclear charges [OAIP-3650cd09ac78] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/QMA-hardness-of-continuum-Coulomb-energy-with-unit-nuclear-charges-September-24-2026/QMA-hardness-of-continuum-Coulomb-energy-with-unit-nuclear-charges-September-24-2026.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0451. Quadratic stabilization of the canonical Foulkes--Howe map [OAIP-9116fddf1031] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Quadratic-Stabilization-of-the-Canonical-Foulkes-Howe-Map-September-25-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0452. Quadratic Strong-Operator Paving over Arbitrary Maximal Abelian Subalgebras [OAIP-8a687a97b053] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Quadratic-Strong-Operator-Paving-over-Arbitrary-Maximal-Abelian-Subalgebras-September-25-2026/Quadratic-Strong-Operator-Paving-over-Arbitrary-Maximal-Abelian-Subalgebras-September-25-2026.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0453. Quantitative lower bounds for trace reconstruction [OAIP-b81b5d62aea3] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/quantitative-lower-bounds-for-trace-reconstruction-September-24-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0454. Quantitative Near-Kerr Evolution and Generic C2 Future Inextendibility [OAIP-b341fd15a02a] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Quantitative-Near-Kerr-Evolution-and-Generic-C2-Future-Inextendibility-September-23-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0455. Quantitative Superexponential Bounds for van der Waerden Numbers [OAIP-81b18a4e8e66] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Quantitative-Superexponential-Bounds-for-van-der-Waerden-Numbers-September-23-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0456. Quantum Depletion and Momentum Distribution in the Dilute Hard-Sphere Bose Gas [OAIP-4b1d3b2c2068] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Quantum-Depletion-and-Momentum-Distribution-in-the-Dilute-Hard-Sphere-Bose-Gas-October-5-2026/Quantum-Depletion-in-the-Dilute-Hard-Sphere-Bose-Gas.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0457. Quantum Depletion for Fixed Bounded Repulsive Potentials [OAIP-4a2162991459] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Quantum-Depletion-for-Fixed-Bounded-Repulsive-Potentials-October-5-2026/fixed-repulsion-quantum-depletion.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0458. Quasi-isometric recognition of virtually polycyclic groups [OAIP-74953d3ef5eb] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/quasi-isometric-recognition-of-virtually-polycyclic-groups-September-24-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0459. Quasipolynomial Bounds for Arithmetic Progressions [OAIP-1131ab1d9b9e] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Quasipolynomial-Bounds-for-Arithmetic-Progressions-September-23-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0460. Quaternionic division points on curves in the Siegel threefold [OAIP-2ef48b291790] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Quaternionic-Division-Points-on-Curves-in-the-Siegel-Threefold-September-24-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0461. Quenched SLE Universality for Weakly Disordered FK–Ising Interfaces [OAIP-9b38b1f771e9] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Quenched-SLE-Universality-for-Weakly-Disordered-FK-Ising-Interfaces-October-5-2026/quenched-fk-ising.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0462. Quenched SLE₃ limits for general weak random-bond Ising models [OAIP-f6b2768105c1] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Quenched-SLE3-limits-for-general-weak-random-bond-Ising-models-October-5-2026/general-weak-random-bond-ising.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0463. Quenched SLE₃ Universality for the Weak Random-Bond Ising Model [OAIP-9b924b24ced6] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Quenched-SLE3-Universality-for-the-Weak-Random-Bond-Ising-Model-October-5-2026/quenched-sle3-weak-random-bond-ising.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0464. Radial transfer estimates and polygon length laws for honeycomb walks [OAIP-c4ca973623b6] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Radial-transfer-estimates-and-polygon-length-laws-for-honeycomb-walks-September-26-2026/main.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0465. Radius of comparison equals half the mean dimension [OAIP-8c5208a6b7ee] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Radius-of-comparison-equals-half-the-mean-dimension-September-25-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0466. Ramanujan-Arthur Decompositions of Cuspidal Functions at Full Finite Level [OAIP-af4997bb6c2c] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Ramanujan-Arthur-Decompositions-of-Cuspidal-Functions-at-Full-Finite-Level-September-24-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0467. Random coordinate frames and partial permutation laws [OAIP-33d1bc7e07c7] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Random-coordinate-frames-and-partial-permutation-laws-September-26-2026/main.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0468. Random Walks on Critical FK–Ising Maps and Liouville Brownian Motion [OAIP-54124ba8a3aa] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Random-Walks-on-Critical-FK-Ising-Maps-and-Liouville-Brownian-Motion-October-5-2026/fk-ising-walk-limit.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0469. Random-subspace tests and trace smoothing for coordinate sweeps [OAIP-23352c559ca6] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Random-subspace-tests-and-trace-smoothing-for-coordinate-sweeps-September-26-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0470. Randomized quasipolynomial-time mean-payoff games [OAIP-77ada06590d4] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Randomized-quasipolynomial-time-mean-payoff-games-September-25-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0471. Rational homology and Quillen's conjecture [OAIP-408bf5fa78be] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Rational-homology-and-Quillens-conjecture-September-24-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0472. Rationality of the Canonical Unramified Arthur Filtration [OAIP-6596fc2a5ebf] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Rationality-of-the-Canonical-Unramified-Arthur-Filtration-September-24-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0473. Reconstruction from Milnor K-theory modulo the characteristic [OAIP-accc0683da8d] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Reconstruction-from-Milnor-K-theory-modulo-the-characteristic-October-5-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0474. Reconstruction of Function Fields from Mod-ℓ Milnor K-Theory [OAIP-45e07fd3de5c] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Reconstruction-of-Function-Fields-from-Mod-ell-Milnor-K-Theory-October-5-2026/mod-ell-bogomolov-pop.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0475. Regular trajectories, pruning and quantum parity [OAIP-d193b1366644] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Regular-trajectories-pruning-and-quantum-parity-September-24-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0476. Relative denominators and effective systems for log Calabi-Yau fibrations [OAIP-c1ff3749eb08] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Relative-denominators-and-effective-systems-for-log-Calabi-Yau-fibrations-September-27-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0477. Relative generation and the generator problem for finite factors [OAIP-908f214b57da] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Relative-generation-and-the-generator-problem-for-finite-factors-September-23-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0478. Relative independence of the separable quotient problem [OAIP-0ec9faa3192c] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Relative-independence-of-the-separable-quotient-problem-September-23-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0479. Removable Boundaries and Rigidity of Circle Domains [OAIP-eae0bfcc638e] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Removable-Boundaries-and-Rigidity-of-Circle-Domains-September-23-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0480. Renewal and changes of law for critical honeycomb walks [OAIP-8632c2fa3c9a] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Renewal-and-changes-of-law-for-critical-honeycomb-walks-September-26-2026/main.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0481. Replacing Gaussian observations in memory-constrained inference [OAIP-b4fd6b04daec] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Replacing-Gaussian-observations-in-memory-constrained-inference-September-27-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0482. Riesz transforms and uniform rectifiability in higher codimension [OAIP-6e3930fcb420] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Riesz-transforms-and-uniform-rectifiability-in-higher-codimension-September-24-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0483. Rigidity of Smooth Billiards with a Continuous Caustic Collar [OAIP-71a85ff50cd0] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Rigidity-of-Smooth-Billiards-with-a-Continuous-Caustic-Collar-September-24-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0484. Rigidity of the Turing degrees [OAIP-8500f0916b3b] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Rigidity-of-the-Turing-degrees-September-24-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0485. Rokhlin's multiple-mixing problem for one transformation [OAIP-209ef89b9c87] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Rokhlins-multiple-mixing-problem-for-one-transformation-September-23-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0486. Routing densities and representation contraction for Thorp sweeps [OAIP-d4649633f455] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Routing-densities-and-representation-contraction-for-Thorp-sweeps-September-26-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0487. Row–column symmetry and contraction of coordinate sweeps [OAIP-4cd1b4390866] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Row-column-symmetry-and-contraction-of-coordinate-sweeps-September-26-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0488. Scalar Potentials and Slow Clocks for Forced Fluid Computation [OAIP-c813344ac420] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Scalar-Potentials-and-Slow-Clocks-for-Forced-Fluid-Computation-September-27-2026/manuscript.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0489. Scale and conformal symmetry in four-dimensional operational quantum field theory [OAIP-0bea907d8a9a] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Scale-and-conformal-symmetry-in-four-dimensional-operational-quantum-field-theory-September-26-2026/main.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0490. Schnell fiber spaces and good canonical models [OAIP-bd37d68fad2d] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Schnell-fiber-spaces-and-good-canonical-models-September-24-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0491. Self-dual random-cluster interfaces below one [OAIP-79dbe4d2f6e6] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Self-dual-random-cluster-interfaces-below-one-September-23-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0492. Semialgebraic universal covers of normal projective varieties [OAIP-c3639a0ea6ca] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Semialgebraic-universal-covers-of-normal-projective-varieties-September-24-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0493. Sharp binary-information contraction on the discrete cube [OAIP-7b195817917c] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Sharp-binary-information-contraction-on-the-discrete-cube-September-24-2026/main.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0494. Sharp integral fillings in CAT(0) spaces [OAIP-85565211ca10] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Sharp-integral-fillings-in-CAT%280%29-spaces-September-23-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0495. Sharp logarithmic exponents for fixed off-diagonal Ramsey numbers [OAIP-3e6d3f180c80] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Sharp-Logarithmic-Exponents-for-Fixed-Off-Diagonal-Ramsey-Numbers-September-24-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0496. Sharp mass bounds for the two-dimensional O(4) model [OAIP-f43e04e25b03] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Sharp-mass-bounds-for-the-two-dimensional-O4-model-September-23-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0497. Sharp nodal length on smooth surfaces [OAIP-52ed8a381643] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Sharp-nodal-length-on-smooth-surfaces-September-23-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0498. Sharp one-dimensional Lieb–Thirring constants [OAIP-a1aa8e17be72] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Sharp-One-Dimensional-Lieb-Thirring-Constants-September-23-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0499. Sharp one-dimensional Lieb–Thirring inequalities for matrix potentials [OAIP-f667c4cb3198] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Sharp-one-dimensional-Lieb-Thirring-inequalities-for-matrix-potentials-October-5-2026/sharp-matrix-lieb-thirring.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0500. Sharp One-Third Stability of Brenier Maps [OAIP-fe1a77271d27] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Sharp-One-Third-Stability-of-Brenier-Maps-September-25-2026/article.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0501. Sharpness of the Cyclic Integral Floer Bound Below the Stable Morse Number [OAIP-4cd601c0e073] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Sharpness-of-the-Cyclic-Integral-Floer-Bound-Below-the-Stable-Morse-Number-October-5-2026/sharp-cyclic-integral-floer-bound-below-stable-morse-number.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0502. Short Egyptian fractions [OAIP-784dcaafbf16] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Short-Egyptian-fractions-September-25-2026/Short-Egyptian-fractions-September-25-2026.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0503. Signed cylinder propagation and marked polygons on the honeycomb lattice [OAIP-4609154dd578] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Signed-cylinder-propagation-and-marked-polygons-on-the-honeycomb-lattice-September-26-2026/main.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0504. Signed tensor densities and diagram budgets for the Thorp shuffle [OAIP-5677e8662d3a] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Signed-tensor-densities-and-diagram-budgets-for-coordinate-sweeps-September-26-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0505. Simple F∞ overgroups of groups with decidable word problem [OAIP-68b55ce6c8e1] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Simple-F-infinity-overgroups-of-groups-with-decidable-word-problem-September-23-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0506. Simulating One-Tape Time in Two-Fifths-Power Space [OAIP-b293c9fc34d7] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Simulating-One-Tape-Time-in-Two-Fifths-Power-Space-September-25-2026/article.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0507. Simultaneous primitive roots: a conditional lower bound for prime bases [OAIP-b3df55700f87] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Simultaneous-primitive-roots-a-conditional-lower-bound-for-prime-bases-October-4-2026/simultaneous-primitive-roots-conditional-lower-bound-prime-bases.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0508. Single-exponential recovery and bounded-price strictness for metric k-median [OAIP-ce86ea9bfcf0] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Single-Exponential-Recovery-and-Bounded-Price-Strictness-for-Metric-k-Median-September-24-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0509. Single-fold Diophantine representations [OAIP-d4cd188fb2cb] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Single-fold-Diophantine-representations-September-24-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0510. SLE3 universality for weak finite-range Ising interactions [OAIP-2b234feb92a2] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/SLE3-universality-for-weak-finite-range-Ising-interactions-September-23-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0511. Slope-field perturbations of the two-cylinder covering [OAIP-1f99e8e10632] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Slope-field-perturbations-of-the-two-cylinder-covering-September-27-2026/main.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0512. Smooth anisotropic uniqueness in the Calderón problem from one boundary patch [OAIP-60b4138a58a7] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Smooth-Anisotropic-Uniqueness-in-the-Calderon-Problem-from-One-Boundary-Patch-September-24-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0513. Smooth counterexamples to Yau's nodal upper bound in dimensions three and four [OAIP-a74de7c85808] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Smooth-counterexamples-to-Yaus-nodal-upper-bound-in-dimensions-three-and-four-September-23-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0514. Smooth isometric immersions of closed surfaces into Euclidean four-space [OAIP-b06c15d15d1f] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Smooth-isometric-immersions-of-closed-surfaces-into-Euclidean-four-space-September-23-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0515. Snaky in 21 Maker moves [OAIP-c7480306b383] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Snaky-in-21-Maker-moves-September-25-2026/article.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0516. Spacetime Penrose inequalities: enclosing area, charge, and rigidity [OAIP-4fc24c3e7a7f] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Spacetime-Penrose-inequalities-enclosing-area-charge-and-rigidity-October-5-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0517. Spectral convergence for critical FK–Ising planar maps [OAIP-7b019d8a6751] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Spectral-convergence-for-critical-FK-Ising-planar-maps-October-5-2026/spectral-convergence-critical-fk-ising-planar-maps.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0518. Spectral scalar curvature and uniform Urysohn width [OAIP-dffe57f7044d] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Spectral-scalar-curvature-and-uniform-Urysohn-width-October-5-2026/main.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0519. Spectral scalar curvature and Urysohn width in dimension three [OAIP-435072f8fa3d] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Spectral-scalar-curvature-and-Urysohn-width-in-dimension-three-October-5-2026/spectral-urysohn-three-manifolds.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0520. Spontaneous magnetization in the quantum Heisenberg ferromagnet [OAIP-addb934e3730] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Spontaneous-magnetization-in-the-quantum-Heisenberg-ferromagnet-September-24-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0521. Square-lattice FK interfaces and nested loops for 1 <= q < 4 [OAIP-686250730b56] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Square-lattice-FK-interfaces-and-nested-loops-for-1-leq-q-lt-4-September-23-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0522. Squared-logarithmic randomized k-server on arbitrary metrics [OAIP-af80f27a0db6] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Squared-logarithmic-randomized-k-server-on-arbitrary-metrics-September-24-2026/Squared-logarithmic-randomized-k-server-on-arbitrary-metrics-September-24-2026.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0523. Squarefree values of quartics and power-free values of polynomials [OAIP-b048d707c858] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Squarefree-values-of-quartics-and-power-free-values-of-polynomials-September-24-2026/manuscript.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0524. Stabilizer orbits and thick tensor ideals of dualizable K(n)-local spectra [OAIP-adc161a81e95] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Stabilizer-Orbits-and-Thick-Tensor-Ideals-of-Dualizable-Kn-Local-Spectra-September-24-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0525. Stable self-similar blowup for a supercritical defocusing Schrödinger equation on the torus [OAIP-07470786ccbc] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Stable-Self-Similar-Blowup-for-a-Supercritical-Defocusing-Schrodinger-Equation-on-the-Torus-September-24-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0526. Staggered extraction for exact matrix multiplication over every field [OAIP-e6b0ff629223] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Staggered-extraction-for-exact-matrix-multiplication-over-every-field-September-24-2026/Staggered-extraction-for-exact-matrix-multiplication-over-every-field-September-24-2026.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0527. Stretched-exponential barriers for typical SK initial states [OAIP-ae9d6f4731a4] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Stretched-exponential-barriers-for-typical-SK-initial-states-September-24-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0528. Strict convexity and differentiability of the planar exponential first-passage limit shape [OAIP-4caff5b90a9e] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Strict-convexity-and-differentiability-of-the-planar-exponential-first-passage-limit-shape-September-24-2026/main.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0529. Strict hot spots and absence of interior critical points on smooth simply connected planar domains [OAIP-2d0afcdf3063] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Strict-hot-spots-and-absence-of-interior-critical-points-on-smooth-simply-connected-planar-domains-September-24-2026/main.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0530. Strong diffeomorphic approximation in three dimensions for 1≤p≤2 [OAIP-e1c258ca4c38] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Strong-diffeomorphic-approximation-in-three-dimensions-for-1-le-p-le-2-September-24-2026/main.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0531. Strong diffeomorphic approximation in three dimensions for p>2 [OAIP-3f8dbb810cb8] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Strong-diffeomorphic-approximation-in-three-dimensions-for-p-gt-2-September-24-2026/main.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0532. Strong Ulam Stability Characterizes Amenability [OAIP-3150e8d1bee4] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Strong-Ulam-Stability-Characterizes-Amenability-October-5-2026/strong-ulam-stability.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0533. Strongly rational unitary vertex operator algebras and conformal nets [OAIP-3ca87c88dd6d] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Strongly-rational-unitary-vertex-operator-algebras-and-conformal-nets-September-25-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0534. Subpolynomial dimension reduction in Lp [OAIP-7ed3cd025e43] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Subpolynomial-dimension-reduction-in-Lp-September-23-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0535. Subpolynomial query complexity for well-conditioned log-concave sampling [OAIP-e54200c07189] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Subpolynomial-query-complexity-for-well-conditioned-log-concave-sampling-September-26-2026/article.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0536. Subset Sum in Time $`O(2^{0.49n})`$ [OAIP-ebd91ba75077] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Subset-Sum-in-Time-2-power-0-49n-October-4-2026/subset-sum.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0537. Subsphere methods for memory-sample lower bounds in noiseless Gaussian regression [OAIP-c2d31b0748a5] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Subsphere-methods-for-memory-sample-lower-bounds-in-noiseless-Gaussian-regression-September-27-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0538. Symmetry of semialgebraic bounded domains with compact quotient [OAIP-797062f12750] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Symmetry-of-semialgebraic-bounded-domains-with-compact-quotient-September-24-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0539. Symplectic Ball Packings in Higher Dimensions [OAIP-99ba31491534] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Symplectic-Ball-Packings-in-Higher-Dimensions-September-23-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0540. Symplectic Balls in Symmetric Polar Products [OAIP-0e551ff041d4] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Symplectic-Balls-in-Symmetric-Polar-Products-September-22-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0541. Talagrand’s discrete-convexity conjecture [OAIP-97a18fbfcc9e] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Talagrands-discrete-convexity-conjecture-September-23-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0542. Tame Hecke Eigensheaves with Several Marked Points [OAIP-df7b9e1a2887] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Tame-Hecke-Eigensheaves-with-Several-Marked-Points-October-5-2026/Tame-Hecke-Eigensheaves-with-Several-Marked-Points.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0543. Taming implies compatibility on four-manifolds [OAIP-9f2cd7732ae4] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Taming-implies-compatibility-on-four-manifolds-October-6-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0544. Temperedness at ramified places for globally generic exceptional groups [OAIP-47f182aeab1b] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Temperedness-at-ramified-places-for-globally-generic-exceptional-groups-October-5-2026/ramified-ramanujan.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0545. Tensor saturation for even spin groups [OAIP-3f8d6dbdc110] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Tensor-Saturation-for-Even-Spin-Groups-September-24-2026/Tensor-Saturation-for-Even-Spin-Groups-September-24-2026.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0546. Termination for projective log canonical fourfolds with rational boundary [OAIP-07726b1ad079] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Termination-for-projective-log-canonical-fourfolds-with-rational-boundary-September-24-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0547. Termination of generalized log canonical flips on compact Kähler fourfolds [OAIP-4f3458b40983] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Termination-of-generalized-log-canonical-flips-on-compact-Kahler-fourfolds-October-7-2026/termination-generalized-lc-kahler-fourfolds.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0548. Termination of generalized-canonical flips on compact Kähler fourfolds [OAIP-ce38a1375ede] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Termination-of-generalized-canonical-flips-on-compact-Kahler-fourfolds-October-6-2026/termination-generalized-terminal-flips-compact-kahler-fourfolds.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0549. The abelian Zilber–Pink conjecture [OAIP-5f6563d80875] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/The-Abelian-Zilber-Pink-Conjecture-September-24-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0550. The abelianity conjecture for special compact Kähler manifolds [OAIP-3ce919f2014b] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/The-abelianity-conjecture-for-special-compact-Kahler-manifolds-September-23-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0551. The additive indecomposability of the primes [OAIP-43fb111777b4] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/the-additive-indecomposability-of-the-primes-September-24-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0552. The affine Bernstein theorem in dimensions three through nine [OAIP-5c8c8fdab057] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/The-affine-Bernstein-theorem-in-dimensions-three-through-nine-September-24-2026/main.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0553. The approximation threshold for metric k-median [OAIP-814bc4ceffe4] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/The-Approximation-Threshold-for-Metric-k-Median-September-24-2026/main.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0554. The arithmetic category and stable recovery of lattice factors [OAIP-8d1ce208f012] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/The-arithmetic-category-and-stable-recovery-of-lattice-factors-September-23-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0555. The Artinian Lex-Plus-Powers Betti Theorem [OAIP-0752e6125087] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/The-Artinian-Lex-Plus-Powers-Betti-Theorem-September-23-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0556. The Bass trace conjecture and the characteristic-zero Kaplansky idempotent conjecture [OAIP-6207799c710c] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/The-Bass-trace-conjecture-for-complex-group-rings-September-24-2026/The-Bass-trace-conjecture-for-complex-group-rings-September-24-2026.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0557. The Blockwise Alperin Weight Conjecture [OAIP-838b0669ed0f] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/The-Blockwise-Alperin-Weight-Conjecture-September-23-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0558. The Bogomolov-Pop reconstruction theorem [OAIP-be169f950b63] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/The-Bogomolov-Pop-reconstruction-theorem-September-23-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0559. The Boltzmann–Grad limit for stable radial potentials on regular kinetic intervals [OAIP-0af8084bb6ab] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/The-Boltzmann-Grad-limit-for-stable-radial-potentials-on-regular-kinetic-intervals-September-23-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0560. The Campana–Peternell conjecture in dimension six [OAIP-a9206135c76f] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/The-Campana-Peternell-conjecture-in-dimension-six-September-25-2026/main.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0561. The canonical massive continuum limit of the two-dimensional O(3) model [OAIP-0d60466ce4e4] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/The-canonical-massive-continuum-limit-of-the-two-dimensional-O3-model-October-4-2026/massive-continuum-o3.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0562. The circulant Hadamard conjecture [OAIP-25bab455cfc6] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/The-circulant-Hadamard-conjecture-September-23-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0563. The complete Crouzeix theorem: optimal similarity and a common positive boundary representation [OAIP-67565fa07c79] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/The-complete-Crouzeix-theorem-September-23-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0564. The complexity of identifying a graph by Weisfeiler–Leman refinement [OAIP-659421739065] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/The-complexity-of-identifying-a-graph-by-Weisfeiler-Leman-refinement-September-25-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0565. The cotype–cotype conjecture under the approximation property [OAIP-a349e2ccd784] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/The-cotype-cotype-conjecture-under-the-approximation-property-September-23-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0566. The critical correlation exponent of the planar XY model [OAIP-a34c8660383b] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/The-critical-correlation-exponent-of-the-planar-XY-model-September-24-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0567. The critical dimension for one-phase Bernoulli minimizers [OAIP-0a77d9b162cc] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/The-critical-dimension-for-one-phase-Bernoulli-minimizers-September-24-2026/The-critical-dimension-for-one-phase-Bernoulli-minimizers-September-24-2026.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0568. The critical Liouville quantum sphere and geometric limits of FK maps at q=4 [OAIP-d48dbb2784c3] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/The-critical-Liouville-quantum-sphere-and-geometric-limits-of-FK-maps-at-q-equals-4-September-24-2026/main.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0569. The critical logarithmic correction for the planar XY model [OAIP-318a07a53719] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/The-critical-logarithmic-correction-for-the-planar-XY-model-October-5-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0570. The Critical Spin Field of the Planar XY Model [OAIP-483a06ae4d30] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/The-Critical-Spin-Field-of-the-Planar-XY-Model-October-5-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0571. The crossing number of complete bipartite graphs [OAIP-b3a0451f0907] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/The-crossing-number-of-complete-bipartite-graphs-September-23-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0572. The crossing number of complete graphs [OAIP-077a49128e69] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/The-crossing-number-of-complete-graphs-September-23-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0573. The curve scaling limit of half-plane double dimers [OAIP-1c505cc4d7be] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/The-curve-scaling-limit-of-half-plane-double-dimers-September-23-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0574. The Deligne-Drinfeld conjecture [OAIP-f4b3bda1fd07] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/The-Deligne-Drinfeld-conjecture-September-23-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0575. The Dimension of the Two-Adic Hecke Algebra at Odd Level [OAIP-7a1e02a1fbc0] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/The-Dimension-of-the-Two-Adic-Hecke-Algebra-at-Odd-Level-October-5-2026/two-adic-hecke.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0576. The dyadic case of the Erdős similarity conjecture [OAIP-06a721889eac] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/The-dyadic-case-of-the-Erdos-similarity-conjecture-September-25-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0577. The entropy photon-number inequality [OAIP-041c637d0e96] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/The-entropy-photon-number-inequality-September-24-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0578. The entropy-rate dimension formula for self-similar measures on the line [OAIP-65096e548234] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/The-entropy-rate-dimension-formula-for-self-similar-measures-on-the-line-September-24-2026/main.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0579. The equivariant cohomological Hikita conjecture for arbitrary quivers [OAIP-959d4b7bbafd] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/The-equivariant-cohomological-Hikita-conjecture-for-arbitrary-quivers-September-24-2026/main.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0580. The Euclidean plane is not five-colorable [OAIP-df3c630d9c9b] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/The-Euclidean-plane-is-not-five-colorable-September-23-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0581. The Euclidean Steinitz–Bergström theorem [OAIP-53028b12bb04] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/The-Euclidean-Steinitz-Bergstrom-theorem-September-24-2026/The-Euclidean-Steinitz-Bergstrom-theorem-September-24-2026.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0582. The exact reconstruction threshold for the three-state symmetric channel [OAIP-678d3715cd69] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/The-exact-reconstruction-threshold-for-the-three-state-symmetric-channel-September-25-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0583. The E×CM component of Zilber–Pink for curves in A2 [OAIP-8c980448a550] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/The-E-times-CM-Component-of-Zilber-Pink-for-Curves-in-A2-September-24-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0584. The Factor-Two Hardness Threshold for Vertex Cover [OAIP-9d567de1c376] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/The-Factor-Two-Hardness-Threshold-for-Vertex-Cover-September-23-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0585. The Falconer distance conjecture in all dimensions [OAIP-c4b20b597d07] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/The-Falconer-distance-conjecture-in-all-dimensions-September-23-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0586. The first lattice correction to Bloch's law [OAIP-e4168cfdc9df] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/The-first-lattice-correction-to-Blochs-law-October-5-2026/first-lattice-correction-bloch-law.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0587. The free energy of the Ising random perceptron [OAIP-e866f9588a04] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/The-free-energy-of-the-Ising-random-perceptron-September-24-2026/The-free-energy-of-the-Ising-random-perceptron-September-24-2026.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0588. The free energy of the spherical random perceptron [OAIP-09751fc7a745] Authors: not yet recorded First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/The-free-energy-of-the-spherical-random-perceptron-September-24-2026/The-free-energy-of-the-spherical-random-perceptron-September-24-2026.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0589. The free uniform spanning forest is a factor of IID [OAIP-d7fb1e01136d] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/The-free-uniform-spanning-forest-is-a-factor-of-IID-September-25-2026/The-free-uniform-spanning-forest-is-a-factor-of-IID-September-25-2026.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0590. The Gaussian free field limit of integer Lipschitz heights with two-arc boundary data [OAIP-e1e49bdf24ad] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/The-Gaussian-free-field-limit-of-integer-Lipschitz-heights-with-two-arc-boundary-data-October-6-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0591. The Gaussian free field limit of the balanced six-vertex model with variance multiplier 1/arcsin(c/2) [OAIP-d4093b0a57d6] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/The-Gaussian-free-field-limit-of-the-balanced-six-vertex-model-with-variance-multiplier-1-over-arcsin-c-over-2-September-23-2026/The-Gaussian-free-field-limit-of-the-balanced-six-vertex-model-with-variance-multiplier-1-over-arcsin-c-over-2-September-23-2026.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0592. The Gaussian propeller bound in every dimension [OAIP-d53eafe7e9ff] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/The-Gaussian-Propeller-Bound-in-Every-Dimension-September-24-2026/main.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0593. The generalized Mukai conjecture [OAIP-aef37bb679fb] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/The-Generalized-Mukai-Conjecture-September-24-2026/article.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0594. The geometric case of the Erdős similarity conjecture [OAIP-a1c3c3a97abe] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/The-geometric-case-of-the-Erdos-similarity-conjecture-October-5-2026/geometric-erdos-similarity.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0595. The Grothendieck homotopy hypothesis via elementary expansions [OAIP-c6dfdbb531ac] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/The-Grothendieck-homotopy-hypothesis-via-elementary-expansions-September-24-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0596. The height-three chromatic overlap: an explicit filtration and its attachments [OAIP-25c059651a53] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/The-height-three-chromatic-overlap-an-explicit-filtration-and-its-attachments-September-27-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0597. The higher-dimensional Erdős distinct-distances conjecture [OAIP-b016c6c67a7c] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/The-higher-dimensional-Erdos-distinct-distances-conjecture-September-23-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0598. The Hilbert–Smith conjecture in every finite dimension [OAIP-d5b8bdf01fef] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/The-Hilbert-Smith-conjecture-in-every-finite-dimension-September-23-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0599. The hypercube Ramsey number has linear order [OAIP-50aa1b3ee10e] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/The-hypercube-Ramsey-number-has-linear-order-September-23-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0600. The irrationality exponent of pi is 2 [OAIP-c070260b7811] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/The-irrationality-exponent-of-pi-is-2-September-24-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0601. The Isoperimetric Conjecture for the Cubic Flat Three-Torus [OAIP-d9e3783b8640] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/The-Isoperimetric-Conjecture-for-the-Cubic-Flat-Three-Torus-September-24-2026/article.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0602. The joint Dickman law for consecutive integers [OAIP-7c9b89f9acaa] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/The-joint-Dickman-law-for-consecutive-integers-September-24-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0603. The joint scaling limit of critical Ashkin-Teller currents [OAIP-c4b96c96c5f0] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/The-joint-scaling-limit-of-critical-Ashkin-Teller-currents-October-6-2026/main.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0604. The Kakeya maximal conjecture in three dimensions [OAIP-3855f97cbf56] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/The-Kakeya-maximal-conjecture-in-three-dimensions-September-23-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0605. The Kerr–Newman Penrose Inequality for Axisymmetric Electrovacuum Exteriors [OAIP-3a78fc37408d] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/The-Kerr-Newman-Penrose-Inequality-for-Axisymmetric-Electrovacuum-Exteriors-October-5-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0606. The Kervaire invariant problem at the prime three [OAIP-f7be26ff0756] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/The-Kervaire-Invariant-Problem-at-the-Prime-Three-September-24-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0607. The Kervaire theorem for groups [OAIP-63f4b2af9a57] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/The-Kervaire-Theorem-for-Groups-September-24-2026/The-Kervaire-Theorem-for-Groups-September-24-2026.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0608. The Kirchberg–Rørdam character criterion [OAIP-4efc2ec4d479] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/The-Kirchberg-Rordam-character-criterion-September-25-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0609. The logarithmic Brunn–Minkowski conjecture [OAIP-1c8ee12e593f] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/The-logarithmic-Brunn-Minkowski-conjecture-September-23-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0610. The low-temperature Sherrington–Kirkpatrick fluctuation scale [OAIP-d80587de7e1d] Authors: not yet recorded First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/The-low-temperature-Sherrington-Kirkpatrick-fluctuation-scale-September-24-2026/The-low-temperature-Sherrington-Kirkpatrick-fluctuation-scale-September-24-2026.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0611. The low-temperature Sherrington–Kirkpatrick free-energy limiting law [OAIP-5f785902249a] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/The-low-temperature-Sherrington-Kirkpatrick-free-energy-limiting-law-September-24-2026/The-low-temperature-Sherrington-Kirkpatrick-free-energy-limiting-law-September-24-2026.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0612. The Mahler Conjecture for General Convex Bodies [OAIP-853109e89b8d] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/The-Mahler-Conjecture-for-General-Convex-Bodies-September-22-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0613. The Margulis–Platonov conjecture over global function fields [OAIP-51f6a9c2d26f] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/The-Margulis-Platonov-conjecture-over-global-function-fields-October-5-2026/margulis-platonov-global-function-fields.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0614. The Margulis–Platonov conjecture over number fields [OAIP-251b5946efe8] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/The-Margulis-Platonov-conjecture-over-number-fields-September-23-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0615. The maximal triangular Hilbert transform at the symmetric point [OAIP-e5c7201525f4] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/The-maximal-triangular-Hilbert-transform-at-the-symmetric-point-September-24-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0616. The maximum number of mutually unbiased bases in dimension six [OAIP-de1771f84ca4] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/The-maximum-number-of-mutually-unbiased-bases-in-dimension-six-September-24-2026/The-maximum-number-of-mutually-unbiased-bases-in-dimension-six-September-24-2026.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0617. The mean analytic rank of quadratic twists of elliptic curves [OAIP-d16a695c835a] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/The-mean-analytic-rank-of-quadratic-twists-of-elliptic-curves-October-6-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0618. The metric Blaschke theorem [OAIP-92985a3f67ce] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/The-metric-Blaschke-theorem-September-23-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0619. The Mézard–Parisi formula for diluted spin glasses [OAIP-a551af11ad89] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/The-Mezard-Parisi-formula-for-diluted-spin-glasses-September-23-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0620. The nonmaximal anti-de Sitter Penrose Inequality and original-data rigidity [OAIP-9e1a5a1e3599] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/The-nonmaximal-anti-de-Sitter-Penrose-Inequality-and-original-data-rigidity-October-5-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0621. The normalized-volume gap in dimension four [OAIP-6d0756f02d66] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/The-normalized-volume-gap-in-dimension-four-September-24-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0622. The ordinary-double-point gap in every dimension [OAIP-a37e1240d455] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/The-ordinary-double-point-gap-in-every-dimension-September-24-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0623. The p-adic section conjecture [OAIP-c39cb55bdb28] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/The-p-adic-section-conjecture-October-6-2026/main.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0624. The Partition Principle does not imply Choice [OAIP-f47c7d5f8539] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/The-Partition-Principle-does-not-imply-Choice-September-24-2026/partition-principle-without-choice.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0625. The PCP-for-PPAD conjecture: a quasilinear reduction [OAIP-709441a1e8cc] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/The-PCP-for-PPAD-conjecture-a-quasilinear-reduction-September-25-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0626. The Penrose inequality for maximal asymptotically hyperbolic initial data [OAIP-5d4976d06c96] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/The-Penrose-inequality-for-maximal-asymptotically-hyperbolic-initial-data-October-5-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0627. The periodic spin-one Haldane gap [OAIP-d65e90dd7016] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/The-periodic-spin-one-Haldane-gap-September-24-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0628. The Poisson-Dirichlet law for prime predecessors [OAIP-db1fcdc1a94e] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/The-Poisson-Dirichlet-Law-for-Prime-Predecessors-September-24-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0629. The Quasi-Riemann Hypothesis (alternate 11/12 proof) [OAIP-c75e76b6eca6] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/The-Quasi-Riemann-Hypothesis-October-5-2026/paper2.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0630. The Quasi-Riemann Hypothesis: A Zero-Free Half-Plane $`\Re s\gt 7/8`$ [OAIP-8210fff07301] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/The-Quasi-Riemann-Hypothesis-September-30-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0631. The rational Hodge conjecture for CM abelian varieties [OAIP-d5946623a117] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/The-rational-Hodge-conjecture-for-CM-abelian-varieties-October-6-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0632. The Reconstruction Threshold for the Ferromagnetic Four-State Potts Model [OAIP-6f02d37a7ba8] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/The-Reconstruction-Threshold-for-the-Ferromagnetic-Four-State-Potts-Model-October-5-2026/four-state-potts.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0633. The Restricted Geometric Langlands Equivalence in Positive Characteristic [OAIP-c04747947296] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/The-Restricted-Geometric-Langlands-Equivalence-in-Positive-Characteristic-September-24-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0634. The reverse logarithmic Kodaira inequality and additivity [OAIP-717502ed32f5] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/The-reverse-logarithmic-Kodaira-inequality-and-additivity-September-26-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0635. The second Kahn–Kalai conjecture [OAIP-1baa84ed127f] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/The-second-Kahn-Kalai-conjecture-September-24-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0636. The Selmer converse for elliptic curves at every prime [OAIP-c2730d2162c4] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/The-Selmer-converse-for-elliptic-curves-at-every-prime-October-7-2026/main.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0637. The sharp exponential rate of singularity for symmetric Bernoulli matrices [OAIP-a12e95803a6f] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/The-sharp-exponential-rate-of-singularity-for-symmetric-Bernoulli-matrices-October-3-2026/symmetric-bernoulli-singularity.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0638. The sharp factor-of-IID threshold for the free Ising model on regular trees [OAIP-d211d21be87d] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/The-sharp-factor-of-IID-threshold-for-the-free-Ising-model-on-regular-trees-September-26-2026/article.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0639. The sharp logarithmic exponent of r(5,t) [OAIP-18a63ab98aab] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/The-Sharp-Logarithmic-Exponent-of-r-5-t-September-24-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0640. The sharp singularity rate for biased symmetric sign matrices [OAIP-88bbfa0056a7] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/The-sharp-singularity-rate-for-biased-symmetric-sign-matrices-October-4-2026/biased-symmetric-sign-singularity.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0641. The sharp terminal leave in random triangle removal [OAIP-3d59f13f48c7] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/The-Sharp-Terminal-Leave-in-Random-Triangle-Removal-September-25-2026/The-Sharp-Terminal-Leave-in-Random-Triangle-Removal-September-25-2026.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0642. The Singer conjecture in dimension four [OAIP-85cf8649a205] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/The-Singer-conjecture-in-dimension-four-September-25-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0643. The Solomon–Yau least-volume theorem [OAIP-822b36fc5bd8] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/The-Solomon-Yau-least-volume-theorem-September-23-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0644. The spacetime Penrose inequality and enclosing area [OAIP-d413001fc703] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/The-spacetime-Penrose-inequality-and-enclosing-area-September-27-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0645. The spacetime Penrose inequality with charge and original-data rigidity [OAIP-c9d50e428088] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/The-spacetime-Penrose-inequality-with-charge-and-original-data-rigidity-October-5-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0646. The spherical magnetization law for the three-dimensional quantum Heisenberg ferromagnet [OAIP-580339d5b914] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/The-spherical-magnetization-law-for-the-three-dimensional-quantum-Heisenberg-ferromagnet-October-5-2026/spherical-magnetization.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0647. The spherical perceptron with bi-orthogonally invariant disorder [OAIP-16aec61f81be] Authors: not yet recorded First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/The-spherical-perceptron-with-bi-orthogonally-invariant-disorder-September-24-2026/The-spherical-perceptron-with-bi-orthogonally-invariant-disorder-September-24-2026.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0648. The Stable Hurewicz Image of the Sphere at Two [OAIP-777ce598e060] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/The-Stable-Hurewicz-Image-of-the-Sphere-at-Two-September-25-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0649. The strong hyperkähler SYZ conjecture [OAIP-69159e76a9b2] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/The-Strong-Hyperkahler-SYZ-Conjecture-September-23-2026/main.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0650. The strong thin tree conjecture [OAIP-402de1fcb7f0] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/The-strong-thin-tree-conjecture-September-23-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0651. The Subcritical Hénon–Lane–Emden Conjecture [OAIP-a70360e1425e] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/The-Subcritical-Henon-Lane-Emden-Conjecture-September-24-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0652. The symmetric Mahler conjecture and its equality cases [OAIP-b07e69d4140d] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/The-symmetric-Mahler-conjecture-and-its-equality-cases-September-22-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0653. The trace cone classifies Razak–Jacelon stabilizations [OAIP-a0942ef290d4] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/The-trace-cone-classifies-Razak-Jacelon-stabilizations-September-25-2026/The-trace-cone-classifies-Razak-Jacelon-stabilizations-September-25-2026.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0654. The two-primary Birch–Swinnerton-Dyer formula in Selmer corank at most one [OAIP-ea57f249dfa5] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/The-two-primary-Birch-Swinnerton-Dyer-formula-in-Selmer-corank-at-most-one-October-6-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0655. The Unique Games Theorem [OAIP-0122896e49cb] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/The-Unique-Games-Theorem-September-23-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0656. The unique threshold bound state of the SU(N) BFSS model [OAIP-2db1e6506c96] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/The-unique-threshold-bound-state-of-the-SU-N-BFSS-model-September-24-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0657. The Weak Inhomogeneous Duffin–Schaeffer Conjecture [OAIP-0e911d75d561] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/The-weak-inhomogeneous-Duffin-Schaeffer-conjecture-September-25-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0658. The weak pinned planar distance theorem [OAIP-57aa9e22a0d5] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/The-weak-pinned-planar-distance-theorem-September-23-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0659. The ℓ¹-Bass Conjecture for Discrete Groups [OAIP-a3fd00f07c32] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/The-l1-Bass-Conjecture-for-Discrete-Groups-October-5-2026/l1-bass-conjecture.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0660. Thermal FK–Ising interfaces and massive SLE [OAIP-37e973b9fd91] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Thermal-FK-Ising-interfaces-and-massive-SLE-October-5-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0661. Thomason Model Structures in Every Strict Higher Dimension [OAIP-191b5f67a246] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Thomason-Model-Structures-in-Every-Strict-Higher-Dimension-September-25-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0662. Thompson's group F is nonamenable [OAIP-f19833c96eb4] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Thompsons-group-F-is-nonamenable-September-23-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0663. Three fixed points on the symplectic quadric threefold [OAIP-0265201c4a50] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/A-degenerate-counterexample-to-the-critical-number-Arnold-bound-September-23-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0664. Threshold parallel repetition for finite-dimensional entangled games [OAIP-f51a317ba01a] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Threshold-parallel-repetition-for-finite-dimensional-entangled-games-September-25-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0665. Topological triviality of mu-constant families of surface singularities [OAIP-fbba4579fd09] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Topological-triviality-of-mu-constant-families-of-surface-singularities-September-24-2026/main.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0666. Tracial projection methods and uniform property Gamma [OAIP-0ad67ef84178] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Tracial-projection-methods-and-uniform-property-Gamma-September-23-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0667. Translative covering densities of order n log n [OAIP-f24a5e830f7b] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Translative-covering-densities-of-order-n-log-n-September-23-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0668. Tree Constructions for the l1 Distortion of Binary Edit Distance [OAIP-861294c38061] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Tree-Constructions-for-the-l1-Distortion-of-Binary-Edit-Distance-September-27-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0669. Triangular minimality for planar Coulomb renormalized energy [OAIP-91d5bb1b6174] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Triangular-minimality-for-planar-Coulomb-renormalized-energy-September-23-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0670. Triple ergodic averages with distinct integer slopes [OAIP-1acea3e69861] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Triple-ergodic-averages-with-distinct-integer-slopes-October-4-2026/triple-ergodic-distinct-slopes.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0671. Turn-Based Stochastic Mean-Payoff Games in Deterministic Quasipolynomial Time [OAIP-36669faf4e5b] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Turn-Based-Stochastic-Mean-Payoff-Games-in-Deterministic-Quasipolynomial-Time-October-5-2026/stochastic-mean-payoff-games.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0672. Two limit cycles for quintic Liénard systems [OAIP-f2d96ea542ff] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/two-limit-cycles-for-quintic-lienard-systems-September-24-2026/two-limit-cycles-for-quintic-lienard-systems-September-24-2026.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0673. Two-step monodromy of special quasi-projective varieties [OAIP-54c9163d4201] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Two-step-monodromy-of-special-quasi-projective-varieties-September-24-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0674. Ultraflat real Littlewood polynomials [OAIP-76a894adace3] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Ultraflat-real-Littlewood-polynomials-October-5-2026/ultraflat-real-littlewood-polynomials.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0675. Unbounded Violations of the Square-Root Degree Bound [OAIP-2d51b23708e7] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Unbounded-Violations-of-the-Square-Root-Degree-Bound-September-26-2026/Unbounded-Violations-of-the-Square-Root-Degree-Bound-September-26-2026.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0676. Unconditional time lower bounds for Weisfeiler–Leman equivalence [OAIP-29d6e91ab2b8] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Unconditional-time-lower-bounds-for-Weisfeiler-Leman-equivalence-September-25-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0677. Uniform Bi-Holder Transport from Weak MTW [OAIP-d34a3e42980b] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Uniform-Bi-Holder-Transport-from-Weak-MTW-September-25-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0678. Uniform bounds for planar polynomial limit cycles [OAIP-ce34d06d0348] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/uniform-bounds-for-planar-polynomial-limit-cycles-September-24-2026/uniform-bounds-for-planar-polynomial-limit-cycles-September-24-2026.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0679. Uniform Cartier sections for Fano type contractions [OAIP-9966e5bd5255] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Uniform-Cartier-sections-for-Fano-type-contractions-September-25-2026/Uniform-Cartier-sections-for-Fano-type-contractions-September-25-2026.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0680. Uniform computation of the squared-logarithmic k-server bound [OAIP-30f6d4bbce10] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Uniform-computation-of-the-squared-logarithmic-k-server-bound-September-24-2026/Uniform-computation-of-the-squared-logarithmic-k-server-bound-September-24-2026.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0681. Uniform effective log Iitaka fibrations for fourfolds [OAIP-7e78ca645286] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Uniform-effective-log-Iitaka-fibrations-for-fourfolds-September-26-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0682. Uniform excess charge for Coulomb molecules and the outer radius of neutral atoms [OAIP-2331ea9cf17b] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Uniform-excess-charge-for-Coulomb-molecules-and-the-outer-radius-of-neutral-atoms-September-24-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0683. Uniform exclusion of Landau–Siegel zeros [OAIP-7bad5a85ecaf] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Uniform-exclusion-of-Landau-Siegel-zeros-October-1-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0684. Uniform indices for semi-log-canonical log Calabi–Yau pairs [OAIP-ff457278f57b] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Uniform-indices-for-semi-log-canonical-log-Calabi-Yau-pairs-October-5-2026/uniform-slc-index.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0685. Uniform Interior $`C^{1,\alpha}`$ Estimates for Infinity-Harmonic Functions [OAIP-b23c1458fb03] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Uniform-Interior-C1alpha-Estimates-for-Infinity-Harmonic-Functions-October-4-2026/interior-c1-infinity-harmonic.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0686. Uniform log Iitaka fibrations and bounded moduli denominators [OAIP-9cb2f769aff9] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Uniform-log-Iitaka-fibrations-and-bounded-moduli-denominators-October-4-2026/uniform-log-iitaka.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0687. Uniform marked-polygon estimates and sharp finite bridge moments [OAIP-f0fb1035bae1] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Uniform-marked-polygon-estimates-and-sharp-finite-bridge-moments-September-26-2026/main.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0688. Uniform Matrix Hitting Points in Every Positive Characteristic [OAIP-bafcd17a1009] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Uniform-Matrix-Hitting-Points-in-Every-Positive-Characteristic-October-4-2026/uniform-matrix-hitting-points-positive-characteristic.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0689. Uniform Permanence in Weakly Reversible Mass-Action Systems [OAIP-7b0760997a11] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Uniform-Permanence-in-Weakly-Reversible-Mass-Action-Systems-October-5-2026/permanence.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0690. Uniform Pluricanonical Iitaka Fibrations [OAIP-c76d8f4c06f3] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Uniform-Pluricanonical-Iitaka-Fibrations-October-3-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0691. Uniform quasipolynomial-time trace reconstruction [OAIP-9a709de733cd] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Uniform-quasipolynomial-time-trace-reconstruction-October-5-2026/uniform-trace-reconstruction.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0692. Uniform real Lipschitz surfaces on the triangular lattice [OAIP-5f4afcf42c4e] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Uniform-real-Lipschitz-surfaces-on-the-triangular-lattice-October-6-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0693. Uniform Stability of the Spherical Laughlin Gap [OAIP-fd6c2cbbfad1] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Uniform-Stability-of-the-Spherical-Laughlin-Gap-October-5-2026/uniform-stability-spherical-laughlin-gap.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0694. Uniformization of complete Kähler manifolds with positive bisectional curvature [OAIP-6b05c05905ae] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Uniformization-of-complete-Kahler-manifolds-with-positive-bisectional-curvature-September-23-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0695. Uniqueness of tangent flows at the first singular time of embedded surface mean-curvature flow [OAIP-dd8495b736ea] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Tangent-flow-uniqueness-2026-09-24/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0696. Unitarizability implies amenability for discrete groups [OAIP-023df749e3e2] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Unitarizability-Implies-Amenability-for-Countable-Groups-September-23-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0697. Universal Computation with Eventually Stationary Navier–Stokes Forcing [OAIP-f29d6c137ff1] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Universal-Computation-with-Eventually-Stationary-Navier-Stokes-Forcing-September-27-2026/manuscript.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0698. Universal optimality of the triangular lattice [OAIP-bbd4e1a1173c] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Universal-optimality-of-the-triangular-lattice-September-23-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0699. Universal strong Kadison–Kastler stability [OAIP-124e944e4fe9] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Universal-strong-Kadison-Kastler-stability-September-23-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0700. Universal Tensor Squares for Symmetric Groups [OAIP-b50343a2ec8d] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Universal-Tensor-Squares-for-Symmetric-Groups-September-24-2026/main.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0701. Universal-cover splitting for compact Kähler manifolds [OAIP-8f2e32e69796] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Universal-cover-splitting-for-compact-Kahler-manifolds-September-23-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0702. Universality of critical quench autocorrelations in the Sherrington–Kirkpatrick model [OAIP-99d1b2540dbd] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Universality-of-critical-quench-autocorrelations-in-the-Sherrington-Kirkpatrick-model-October-5-2026/main.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0703. Unrestricted pro-modularity at the prime two [OAIP-83ba9e49036e] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Unrestricted-pro-modularity-at-the-prime-two-October-6-2026/two-adic-promodularity.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0704. Vanishing of higher bounded Hochschild cohomology [OAIP-27130b403630] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Vanishing-of-higher-bounded-Hochschild-cohomology-September-23-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0705. Variable-dimension Weisfeiler–Leman equivalence on general and subcubic graphs [OAIP-04af26066aee] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Variable-dimension-Weisfeiler-Leman-equivalence-on-general-and-subcubic-graphs-September-25-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0706. Variance of the Random k-SAT Hitting Time [OAIP-85813da1afda] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Variance-of-the-Random-k-SAT-Hitting-Time-September-27-2026/article.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0707. Velocity-Field Detection of Computation in Forced Navier–Stokes Flows [OAIP-f0dcdb712250] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Velocity-Field-Detection-of-Computation-in-Forced-Navier-Stokes-Flows-September-27-2026/manuscript.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0708. Virasoro Constraints for Projective Complete Intersections [OAIP-eb2b1271759b] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Virasoro-Constraints-for-Projective-Complete-Intersections-September-24-2026/article.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0709. Virasoro Constraints under Projectivization [OAIP-36f5c2bcb9ef] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Virasoro-Constraints-under-Projectivization-October-5-2026/virasoro-constraints-under-projectivization.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0710. Virtual compact specialness of hyperbolic one-relator groups [OAIP-1b88b3d8be89] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Virtual-compact-specialness-of-hyperbolic-one-relator-groups-September-25-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0711. Weak and strong normalization in pure type systems [OAIP-2bf179f044c6] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Weak-and-strong-normalization-in-pure-type-systems-September-25-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0712. Weak Hessian bounds along every geodesic in RCD spaces [OAIP-be56fe304331] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Weak-Hessian-bounds-along-every-geodesic-in-RCD-spaces-September-24-2026/weak-hessian-geodesics.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0713. Weak mixing of triangular billiards with an irrational angle [OAIP-9aadd9baa57a] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Weak-mixing-of-triangular-billiards-with-an-irrational-angle-October-5-2026/weak-mixing-triangular-billiards.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0714. Weak pure infiniteness and O-infinity absorption [OAIP-a1fb6160a4b8] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Weak-pure-infiniteness-and-O-infinity-absorption-September-25-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0715. Weighted dilation graphs, smooth shifted primes and totient fibers [OAIP-4d25fbf13046] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Weighted-Dilation-Graphs-Smooth-Shifted-Primes-and-Totient-Fibers-September-24-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0716. Weil classes and Hodge classes on abelian powers [OAIP-fd7a8ca65c7d] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Weil-classes-and-Hodge-classes-on-abelian-powers-October-6-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0717. Witnessed symmetric choice is strictly stronger than choiceless polynomial time with counting [OAIP-3f60c73829f3] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Witnessed-symmetric-choice-is-strictly-stronger-than-choiceless-polynomial-time-with-counting-September-24-2026/paper.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0718. Zero-Plane Rigidity for Einstein Four-Manifolds [OAIP-72573bdb6e4c] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Zero-Plane-Rigidity-for-Einstein-Four-Manifolds-October-4-2026/einstein-boundary.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0719. Étale covers with a prescribed exterior sheet [OAIP-adc2655fabe9] Authors: OpenAI First posted: not recorded; last revision: not recorded Source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/preprints/Etale-covers-with-a-prescribed-exterior-sheet-September-24-2026/main.pdf AI status: Repository reports a model-produced manuscript AI role: The repository reports that this manuscript collection was produced by an internal OpenAI model. Individual proof validity is not established by that attribution. Attribution source: https://github.com/openai/math/blob/1581d4cbdd69a0faf34b2089614fe2a814316a6a/README.md Publication status: not_individually_checked 0720. $\exists \mathbb{R} \subseteq \textsf{CH}$ [ARXIV-2610.10514] Authors: not yet recorded First posted: 2026-10-07T17:54:28Z; last revision: 2026-10-07T17:54:28Z Source: https://arxiv.org/abs/2610.10514v1 AI status: Paper reports AI contribution to mathematical arguments/results AI role: Metadata explicitly credits AI with proof arguments, proof strategy, mathematical results or counterexample construction. Attribution source: https://arxiv.org/abs/2610.10514v1 Publication status: not_individually_checked 0721. A Counterexample to Talagrand's Operator Cotype Problem [ARXIV-2609.19731] Authors: Xinglong Wu First posted: 2026-09-17T05:42:08Z; last revision: 2026-09-17T05:42:08Z Source: https://arxiv.org/abs/2609.19731 AI status: Paper reports AI contribution to mathematical arguments/results AI role: Metadata explicitly credits AI with proof arguments, proof strategy, mathematical results or counterexample construction. Attribution source: https://subroy13.github.io/awesome-ai-proofs/problems/talagrand-operator-cotype.html Publication status: not_individually_checked 0722. A Counterexample to the Gaussian Completely Monotone Conjecture [ARXIV-2605.11656] Authors: not yet recorded First posted: 2026-05-12T07:19:45Z; last revision: 2026-05-12T07:19:45Z Source: https://arxiv.org/abs/2605.11656v1 AI status: Paper reports AI contribution to mathematical arguments/results AI role: Metadata explicitly credits AI with proof arguments, proof strategy, mathematical results or counterexample construction. Attribution source: https://arxiv.org/abs/2605.11656v1 Publication status: not_individually_checked 0723. A counterexample to the near-quadratic Elekes--Rónyai expander conjecture over $\mathbb R$ [ARXIV-2606.16738] Authors: not yet recorded First posted: 2026-06-15T13:59:19Z; last revision: 2026-06-15T13:59:19Z Source: https://arxiv.org/abs/2606.16738v1 AI status: Paper reports AI contribution to mathematical arguments/results AI role: Metadata explicitly credits AI with proof arguments, proof strategy, mathematical results or counterexample construction. Attribution source: https://arxiv.org/abs/2606.16738v1 Publication status: not_individually_checked 0724. A counterexample to the odd-dimensional rank bound for abelian \texorpdfstring{$p$}{p}-group actions [ARXIV-2607.04891] Authors: not yet recorded First posted: 2026-07-06T10:16:38Z; last revision: 2026-07-06T10:16:38Z Source: https://arxiv.org/abs/2607.04891v1 AI status: Paper reports AI contribution to mathematical arguments/results AI role: Metadata explicitly credits AI with proof arguments, proof strategy, mathematical results or counterexample construction. Attribution source: https://arxiv.org/abs/2607.04891v1 Publication status: not_individually_checked 0725. A counterexample to the wrapping number conjecture [ARXIV-2609.11084] Authors: not yet recorded First posted: 2026-09-10T04:47:02Z; last revision: 2026-09-14T07:14:04Z Source: https://arxiv.org/abs/2609.11084v2 AI status: Paper reports AI contribution to mathematical arguments/results AI role: Metadata explicitly credits AI with proof arguments, proof strategy, mathematical results or counterexample construction. Attribution source: https://arxiv.org/abs/2609.11084v2 Publication status: not_individually_checked 0726. A cyclic non-Ramsey heptagon [ARXIV-2609.23327] Authors: not yet recorded First posted: 2026-09-20T03:28:20Z; last revision: 2026-09-20T03:28:20Z Source: https://arxiv.org/abs/2609.23327v1 AI status: Paper reports AI contribution to mathematical arguments/results AI role: Metadata explicitly credits AI with proof arguments, proof strategy, mathematical results or counterexample construction. Attribution source: https://arxiv.org/abs/2609.23327v1 Publication status: not_individually_checked 0727. A lower bound for stepsize-based acceleration of gradient descent [ARXIV-2608.10418] Authors: Jianhao Ma; Yuxin Chen First posted: 2026-08-11T03:06:59Z; last revision: 2026-08-11T03:06:59Z Source: https://arxiv.org/abs/2608.10418v1 AI status: Paper reports AI contribution to mathematical arguments/results AI role: Developed the proof under the authors' guidance. Attribution source: https://arxiv.org/html/2608.10418v1 Publication status: not_individually_checked 0728. A Mixed-Resonance Counterexample to the Lukic Conjecture [ARXIV-2607.26419] Authors: not yet recorded First posted: 2026-07-29T03:05:34Z; last revision: 2026-07-29T03:05:34Z Source: https://arxiv.org/abs/2607.26419v1 AI status: Paper reports AI contribution to mathematical arguments/results AI role: Metadata explicitly credits AI with proof arguments, proof strategy, mathematical results or counterexample construction. Attribution source: https://arxiv.org/abs/2607.26419v1 Publication status: not_individually_checked 0729. A Near-Optimal Lower Bound for Prefix-Matrix Factorizations [ARXIV-2608.08238] Authors: not yet recorded First posted: 2026-08-06T17:46:47Z; last revision: 2026-08-06T17:46:47Z Source: https://arxiv.org/abs/2608.08238v1 AI status: Paper reports AI contribution to mathematical arguments/results AI role: Metadata explicitly credits AI with proof arguments, proof strategy, mathematical results or counterexample construction. Attribution source: https://arxiv.org/abs/2608.08238v1 Publication status: not_individually_checked 0730. A new proof of two-color partition regularity of Pythagorean triples [ARXIV-2609.34676] Authors: not yet recorded First posted: 2026-09-28T09:07:24Z; last revision: 2026-09-28T09:07:24Z Source: https://arxiv.org/abs/2609.34676v1 AI status: Paper reports AI contribution to mathematical arguments/results AI role: Metadata explicitly credits AI with proof arguments, proof strategy, mathematical results or counterexample construction. Attribution source: https://arxiv.org/abs/2609.34676v1 Publication status: not_individually_checked 0731. A Proof of the Linear Hadwiger Conjecture [ARXIV-2610.05291] Authors: Sergey Norin; Raphael Steiner First posted: 2026-10-04T15:09:25Z; last revision: 2026-10-04T15:09:25Z Source: https://arxiv.org/abs/2610.05291 AI status: Paper reports AI contribution to mathematical arguments/results AI role: Metadata explicitly credits AI with proof arguments, proof strategy, mathematical results or counterexample construction. Attribution source: https://subroy13.github.io/awesome-ai-proofs/problems/linear-hadwiger-conjecture.html Publication status: not_individually_checked 0732. A proper dg algebra which does not cogenerate [ARXIV-2609.34193] Authors: not yet recorded First posted: 2026-09-28T03:06:42Z; last revision: 2026-09-28T03:06:42Z Source: https://arxiv.org/abs/2609.34193v1 AI status: Paper reports AI contribution to mathematical arguments/results AI role: Metadata explicitly credits AI with proof arguments, proof strategy, mathematical results or counterexample construction. Attribution source: https://arxiv.org/abs/2609.34193v1 Publication status: not_individually_checked 0733. A Quadratic Lower Bound for Noncommutative Circuits [ARXIV-2604.20575] Authors: not yet recorded First posted: 2026-04-22T13:55:01Z; last revision: 2026-05-18T18:29:01Z Source: https://arxiv.org/abs/2604.20575v3 AI status: Paper reports AI contribution to mathematical arguments/results AI role: Metadata explicitly credits AI with proof arguments, proof strategy, mathematical results or counterexample construction. Attribution source: https://arxiv.org/abs/2604.20575v3 Publication status: not_individually_checked 0734. A question on klt type varieties of Han and Jiang [ARXIV-2605.22250] Authors: not yet recorded First posted: 2026-05-21T09:56:14Z; last revision: 2026-05-21T09:56:14Z Source: https://arxiv.org/abs/2605.22250v1 AI status: Paper reports AI contribution to mathematical arguments/results AI role: Metadata explicitly credits AI with proof arguments, proof strategy, mathematical results or counterexample construction. Attribution source: https://arxiv.org/abs/2605.22250v1 Publication status: not_individually_checked 0735. A Resolution of the SS--RS--GD Inequalities [ARXIV-2607.22620] Authors: not yet recorded First posted: 2026-06-16T16:17:42Z; last revision: 2026-06-16T16:17:42Z Source: https://arxiv.org/abs/2607.22620v1 AI status: Paper reports AI contribution to mathematical arguments/results AI role: Metadata explicitly credits AI with proof arguments, proof strategy, mathematical results or counterexample construction. Attribution source: https://arxiv.org/abs/2607.22620v1 Publication status: not_individually_checked 0736. A Tight Bound for Facial Distance Patterns in Planar Graphs [ARXIV-2608.07187] Authors: not yet recorded First posted: 2026-08-07T13:04:30Z; last revision: 2026-08-27T21:31:03Z Source: https://arxiv.org/abs/2608.07187v2 AI status: Paper reports AI contribution to mathematical arguments/results AI role: Metadata explicitly credits AI with proof arguments, proof strategy, mathematical results or counterexample construction. Attribution source: https://arxiv.org/abs/2608.07187v2 Publication status: not_individually_checked 0737. A Tight Bound on Localization of Electrical Flows [ARXIV-2605.24130] Authors: not yet recorded First posted: 2026-05-22T18:48:17Z; last revision: 2026-05-22T18:48:17Z Source: https://arxiv.org/abs/2605.24130v1 AI status: Paper reports AI contribution to mathematical arguments/results AI role: Metadata explicitly credits AI with proof arguments, proof strategy, mathematical results or counterexample construction. Attribution source: https://arxiv.org/abs/2605.24130v1 Publication status: not_individually_checked 0738. A Tight Lower Bound for Smooth Nonconvex Stochastic Optimization with Bounded Gradient Noise [ARXIV-2608.09004] Authors: not yet recorded First posted: 2026-08-10T01:45:56Z; last revision: 2026-08-10T01:45:56Z Source: https://arxiv.org/abs/2608.09004v1 AI status: Paper reports AI contribution to mathematical arguments/results AI role: Metadata explicitly credits AI with proof arguments, proof strategy, mathematical results or counterexample construction. Attribution source: https://arxiv.org/abs/2608.09004v1 Publication status: not_individually_checked 0739. AI's solution of Conjecture 9.1 [ARXIV-2609.33644] Authors: not yet recorded First posted: 2026-09-27T15:10:30Z; last revision: 2026-09-27T15:10:30Z Source: https://arxiv.org/abs/2609.33644v1 AI status: Paper reports AI contribution to mathematical arguments/results AI role: Metadata explicitly credits AI with proof arguments, proof strategy, mathematical results or counterexample construction. Attribution source: https://arxiv.org/abs/2609.33644v1 Publication status: not_individually_checked 0740. Almost Sharp Equivalence between Approximate Message Passing and Low-Degree Polynomials [ARXIV-2609.06988] Authors: not yet recorded First posted: 2026-09-07T03:29:39Z; last revision: 2026-09-07T03:29:39Z Source: https://arxiv.org/abs/2609.06988v1 AI status: Paper reports AI contribution to mathematical arguments/results AI role: Metadata explicitly credits AI with proof arguments, proof strategy, mathematical results or counterexample construction. Attribution source: https://arxiv.org/abs/2609.06988v1 Publication status: not_individually_checked 0741. Amicable numbers [ARXIV-2610.05661] Authors: not yet recorded First posted: 2026-10-05T01:15:26Z; last revision: 2026-10-05T01:15:26Z Source: https://arxiv.org/abs/2610.05661v1 AI status: Paper reports AI contribution to mathematical arguments/results AI role: Metadata explicitly credits AI with proof arguments, proof strategy, mathematical results or counterexample construction. Attribution source: https://arxiv.org/abs/2610.05661v1 Publication status: not_individually_checked 0742. An AI-Assisted Solution to the Signed BAR Conjecture: Uniqueness in the Harrison--Reiman Class and a Completely-$\mathcal{S}$ Class Obstruction [ARXIV-2607.03639] Authors: not yet recorded First posted: 2026-07-03T23:34:23Z; last revision: 2026-07-03T23:34:23Z Source: https://arxiv.org/abs/2607.03639v1 AI status: Paper reports AI contribution to mathematical arguments/results AI role: Metadata explicitly credits AI with proof arguments, proof strategy, mathematical results or counterexample construction. Attribution source: https://arxiv.org/abs/2607.03639v1 Publication status: not_individually_checked 0743. An AI-discovered smooth random fast dynamo on $\mathbb{T}^3$ [ARXIV-2608.20105] Authors: not yet recorded First posted: 2026-08-20T14:36:13Z; last revision: 2026-08-20T14:36:13Z Source: https://arxiv.org/abs/2608.20105v1 AI status: Paper reports AI contribution to mathematical arguments/results AI role: Metadata explicitly credits AI with proof arguments, proof strategy, mathematical results or counterexample construction. Attribution source: https://arxiv.org/abs/2608.20105v1 Publication status: not_individually_checked 0744. An Exposition of GPT Astra's Proof of Lower Bound on DP Continual Counting [ARXIV-2609.28528] Authors: not yet recorded First posted: 2026-09-22T17:21:01Z; last revision: 2026-09-22T17:21:01Z Source: https://arxiv.org/abs/2609.28528v1 AI status: Paper reports AI contribution to mathematical arguments/results AI role: Metadata explicitly credits AI with proof arguments, proof strategy, mathematical results or counterexample construction. Attribution source: https://arxiv.org/abs/2609.28528v1 Publication status: not_individually_checked 0745. Approximate counting of vertices of 0/1 polytopes: a stronger hardness result [ARXIV-2608.22290] Authors: not yet recorded First posted: 2026-08-23T08:31:42Z; last revision: 2026-08-25T10:32:39Z Source: https://arxiv.org/abs/2608.22290v2 AI status: Paper reports AI contribution to mathematical arguments/results AI role: Metadata explicitly credits AI with proof arguments, proof strategy, mathematical results or counterexample construction. Attribution source: https://arxiv.org/abs/2608.22290v2 Publication status: not_individually_checked 0746. Approximating spin systems on planar graphs [ARXIV-2608.06172] Authors: not yet recorded First posted: 2026-08-06T15:38:08Z; last revision: 2026-08-07T17:46:57Z Source: https://arxiv.org/abs/2608.06172v2 AI status: Paper reports AI contribution to mathematical arguments/results AI role: Metadata explicitly credits AI with proof arguments, proof strategy, mathematical results or counterexample construction. Attribution source: https://arxiv.org/abs/2608.06172v2 Publication status: not_individually_checked 0747. ChatGPT solved the dynamic construction problem of Malfatti circles [ARXIV-2608.25169] Authors: not yet recorded First posted: 2026-08-25T21:33:13Z; last revision: 2026-08-25T21:33:13Z Source: https://arxiv.org/abs/2608.25169v1 AI status: Paper reports AI contribution to mathematical arguments/results AI role: Metadata explicitly credits AI with proof arguments, proof strategy, mathematical results or counterexample construction. Attribution source: https://arxiv.org/abs/2608.25169v1 Publication status: not_individually_checked 0748. Chernoff's Density Is Strongly Log-Concave [ARXIV-2607.18619] Authors: not yet recorded First posted: 2026-07-21T01:39:27Z; last revision: 2026-07-21T01:39:27Z Source: https://arxiv.org/abs/2607.18619v1 AI status: Paper reports AI contribution to mathematical arguments/results AI role: Metadata explicitly credits AI with proof arguments, proof strategy, mathematical results or counterexample construction. Attribution source: https://arxiv.org/abs/2607.18619v1 Publication status: not_individually_checked 0749. Claude’s Cycles [EXT-KNUTH] Authors: Donald Knuth First posted: not recorded; last revision: not recorded Source: https://cs.stanford.edu/~knuth/papers/claude-cycles.pdf AI status: Paper reports AI contribution to mathematical arguments/results AI role: Found the odd-m construction; Knuth supplied its correctness proof. Attribution source: https://cs.stanford.edu/~knuth/papers/claude-cycles.pdf Publication status: not_individually_checked 0750. Closing the Oracle-Complexity Gap in Derivative-Free Convex Optimization: A Near-Quadratic Lower Bound from Exact Function Values [ARXIV-2607.13335] Authors: Phillip Kerger First posted: not recorded; last revision: not recorded Source: https://arxiv.org/abs/2607.13335v1 AI status: Paper reports AI contribution to mathematical arguments/results AI role: Made substantial contributions to the mathematical arguments; the author credits the model with solving the problem. Attribution source: https://arxiv.org/html/2607.13335v1 Publication status: not_individually_checked 0751. Cluster deletion in cographs, permutation graphs, and graphs with bounded clique number [ARXIV-2505.00922] Authors: not yet recorded First posted: 2025-05-01T23:45:07Z; last revision: 2026-09-15T05:05:35Z Source: https://arxiv.org/abs/2505.00922v4 AI status: Paper reports AI contribution to mathematical arguments/results AI role: Metadata explicitly credits AI with proof arguments, proof strategy, mathematical results or counterexample construction. Attribution source: https://arxiv.org/abs/2505.00922v4 Publication status: not_individually_checked 0752. Cubic-Root Gaussian Approximation under Unrestricted Covariance [ARXIV-2608.30221] Authors: not yet recorded First posted: 2026-08-31T04:10:35Z; last revision: 2026-08-31T04:10:35Z Source: https://arxiv.org/abs/2608.30221v1 AI status: Paper reports AI contribution to mathematical arguments/results AI role: Metadata explicitly credits AI with proof arguments, proof strategy, mathematical results or counterexample construction. Attribution source: https://arxiv.org/abs/2608.30221v1 Publication status: not_individually_checked 0753. Curvature Sign Rigidity and Sharp Pointwise Pinching Thresholds [ARXIV-2609.07252] Authors: not yet recorded First posted: 2026-09-07T09:10:54Z; last revision: 2026-09-07T09:10:54Z Source: https://arxiv.org/abs/2609.07252v1 AI status: Paper reports AI contribution to mathematical arguments/results AI role: Metadata explicitly credits AI with proof arguments, proof strategy, mathematical results or counterexample construction. Attribution source: https://arxiv.org/abs/2609.07252v1 Publication status: not_individually_checked 0754. Decomposing Gorenstein polytopes of large index [ARXIV-2609.18873] Authors: not yet recorded First posted: 2026-09-16T16:09:33Z; last revision: 2026-09-16T16:09:33Z Source: https://arxiv.org/abs/2609.18873v1 AI status: Paper reports AI contribution to mathematical arguments/results AI role: Metadata explicitly credits AI with proof arguments, proof strategy, mathematical results or counterexample construction. Attribution source: https://arxiv.org/abs/2609.18873v1 Publication status: not_individually_checked 0755. Degree-Free Spectral Independence for Log-Concave Holant Measures [ARXIV-2609.18835] Authors: not yet recorded First posted: 2026-09-16T15:42:53Z; last revision: 2026-09-16T15:42:53Z Source: https://arxiv.org/abs/2609.18835v1 AI status: Paper reports AI contribution to mathematical arguments/results AI role: Metadata explicitly credits AI with proof arguments, proof strategy, mathematical results or counterexample construction. Attribution source: https://arxiv.org/abs/2609.18835v1 Publication status: not_individually_checked 0756. Digesting the proof of the sharp thin-shell inequality [ARXIV-2607.23307] Authors: Yuansi Chen; Boaz Klartag First posted: 2026-07-25T17:48:30Z; last revision: 2026-07-25T17:48:30Z Source: https://arxiv.org/abs/2607.23307 AI status: Paper reports AI contribution to mathematical arguments/results AI role: Metadata explicitly credits AI with proof arguments, proof strategy, mathematical results or counterexample construction. Attribution source: https://subroy13.github.io/awesome-ai-proofs/problems/sharp-thin-shell.html Publication status: not_individually_checked 0757. Disproof of the dominating Hadwiger conjecture [ARXIV-2609.35361] Authors: not yet recorded First posted: 2026-09-28T15:07:34Z; last revision: 2026-09-28T15:07:34Z Source: https://arxiv.org/abs/2609.35361v1 AI status: Paper reports AI contribution to mathematical arguments/results AI role: Metadata explicitly credits AI with proof arguments, proof strategy, mathematical results or counterexample construction. Attribution source: https://arxiv.org/abs/2609.35361v1 Publication status: not_individually_checked 0758. Disproof of the Yau--Tian--Donaldson conjecture [ARXIV-2608.19301] Authors: not yet recorded First posted: 2026-08-19T17:19:43Z; last revision: 2026-08-19T17:19:43Z Source: https://arxiv.org/abs/2608.19301v1 AI status: Paper reports AI contribution to mathematical arguments/results AI role: Metadata explicitly credits AI with proof arguments, proof strategy, mathematical results or counterexample construction. Attribution source: https://arxiv.org/abs/2608.19301v1 Publication status: not_individually_checked 0759. Eigenweights for arithmetic Hirzebruch Proportionality [ARXIV-2601.23245] Authors: Tony Feng First posted: not recorded; last revision: not recorded Source: https://arxiv.org/abs/2601.23245v1 AI status: Paper reports AI contribution to mathematical arguments/results AI role: The author credits the agent with all mathematical content and describes his contribution as rewriting it into paper form. Attribution source: https://arxiv.org/html/2601.23245v1 Publication status: not_individually_checked 0760. Embedded constant mean curvature tori in hemispheres of Berger spheres [ARXIV-2609.23484] Authors: not yet recorded First posted: 2026-09-20T09:19:43Z; last revision: 2026-09-20T09:19:43Z Source: https://arxiv.org/abs/2609.23484v1 AI status: Paper reports AI contribution to mathematical arguments/results AI role: Metadata explicitly credits AI with proof arguments, proof strategy, mathematical results or counterexample construction. Attribution source: https://arxiv.org/abs/2609.23484v1 Publication status: not_individually_checked 0761. Exponentially Fewer-Server PIR from Sparser $S$-Decoding Polynomials [ARXIV-2607.22033] Authors: not yet recorded First posted: 2026-07-24T06:59:30Z; last revision: 2026-07-24T06:59:30Z Source: https://arxiv.org/abs/2607.22033v1 AI status: Paper reports AI contribution to mathematical arguments/results AI role: Metadata explicitly credits AI with proof arguments, proof strategy, mathematical results or counterexample construction. Attribution source: https://arxiv.org/abs/2607.22033v1 Publication status: not_individually_checked 0762. Fourth-Moment Geometry of Rademacher Sums [ARXIV-2608.17802] Authors: not yet recorded First posted: 2026-08-18T14:03:07Z; last revision: 2026-08-18T14:03:07Z Source: https://arxiv.org/abs/2608.17802v1 AI status: Paper reports AI contribution to mathematical arguments/results AI role: Metadata explicitly credits AI with proof arguments, proof strategy, mathematical results or counterexample construction. Attribution source: https://arxiv.org/abs/2608.17802v1 Publication status: not_individually_checked 0763. Free groups amenably act on unital simple AF-algebras [ARXIV-2610.01460] Authors: Yuhei Suzuki First posted: 2026-10-01T10:54:30Z; last revision: 2026-10-01T10:54:30Z Source: https://arxiv.org/abs/2610.01460 AI status: Paper reports AI contribution to mathematical arguments/results AI role: Metadata explicitly credits AI with proof arguments, proof strategy, mathematical results or counterexample construction. Attribution source: https://subroy13.github.io/awesome-ai-proofs/problems/free-groups-simple-af-algebras.html Publication status: not_individually_checked 0764. Fröberg's Conjecture for Quintics and Septics in Four Variables [ARXIV-2608.24797] Authors: not yet recorded First posted: 2026-08-25T16:40:55Z; last revision: 2026-08-27T17:05:41Z Source: https://arxiv.org/abs/2608.24797v3 AI status: Paper reports AI contribution to mathematical arguments/results AI role: Metadata explicitly credits AI with proof arguments, proof strategy, mathematical results or counterexample construction. Attribution source: https://arxiv.org/abs/2608.24797v3 Publication status: not_individually_checked 0765. Furthest Pair Requires Quadratic Time in Superconstant Dimension under SETH [ARXIV-2606.25887] Authors: not yet recorded First posted: 2026-06-24T14:29:47Z; last revision: 2026-06-24T14:29:47Z Source: https://arxiv.org/abs/2606.25887v1 AI status: Paper reports AI contribution to mathematical arguments/results AI role: Metadata explicitly credits AI with proof arguments, proof strategy, mathematical results or counterexample construction. Attribution source: https://arxiv.org/abs/2606.25887v1 Publication status: not_individually_checked 0766. GPT, the Counterexample Machine [ARXIV-2608.29595] Authors: not yet recorded First posted: 2026-08-30T06:33:37Z; last revision: 2026-08-30T06:33:37Z Source: https://arxiv.org/abs/2608.29595v1 AI status: Paper reports AI contribution to mathematical arguments/results AI role: Metadata explicitly credits AI with proof arguments, proof strategy, mathematical results or counterexample construction. Attribution source: https://arxiv.org/abs/2608.29595v1 Publication status: not_individually_checked 0767. Hitting Sets for Polynomials with Small Partial Derivative Spaces [ARXIV-2609.34436] Authors: not yet recorded First posted: 2026-09-28T06:57:12Z; last revision: 2026-09-28T06:57:12Z Source: https://arxiv.org/abs/2609.34436v1 AI status: Paper reports AI contribution to mathematical arguments/results AI role: Metadata explicitly credits AI with proof arguments, proof strategy, mathematical results or counterexample construction. Attribution source: https://arxiv.org/abs/2609.34436v1 Publication status: not_individually_checked 0768. How Many Samples Are Needed to Determine Causal Direction? Sharp Minimax Bounds for Bivariate LiNGAM [ARXIV-2608.15840] Authors: not yet recorded First posted: 2026-08-16T16:20:19Z; last revision: 2026-08-16T16:20:19Z Source: https://arxiv.org/abs/2608.15840v1 AI status: Paper reports AI contribution to mathematical arguments/results AI role: Metadata explicitly credits AI with proof arguments, proof strategy, mathematical results or counterexample construction. Attribution source: https://arxiv.org/abs/2608.15840v1 Publication status: not_individually_checked 0769. ICC property (T) groups without W$^*$-superrigidity [ARXIV-2608.02327] Authors: Shuoxing Zhou First posted: 2026-08-03T14:50:28Z; last revision: 2026-09-04T09:46:07Z Source: https://arxiv.org/abs/2608.02327 AI status: Paper reports AI contribution to mathematical arguments/results AI role: Metadata explicitly credits AI with proof arguments, proof strategy, mathematical results or counterexample construction. Attribution source: https://arxiv.org/html/2608.24961v1#S3.T3 Publication status: not_individually_checked 0770. Improved Convergence Rates for Stochastic Multi-Gradient Descent which Close the Gap: A Proof by AI [ARXIV-2607.18174] Authors: not yet recorded First posted: 2026-07-20T17:13:07Z; last revision: 2026-09-06T23:37:52Z Source: https://arxiv.org/abs/2607.18174v2 AI status: Paper reports AI contribution to mathematical arguments/results AI role: Metadata explicitly credits AI with proof arguments, proof strategy, mathematical results or counterexample construction. Attribution source: https://arxiv.org/abs/2607.18174v2 Publication status: not_individually_checked 0771. Improved Multilayered PCPs and Hypergraph Vertex Cover [ARXIV-2609.06775] Authors: not yet recorded First posted: 2026-09-06T18:39:59Z; last revision: 2026-09-06T18:39:59Z Source: https://arxiv.org/abs/2609.06775v1 AI status: Paper reports AI contribution to mathematical arguments/results AI role: Metadata explicitly credits AI with proof arguments, proof strategy, mathematical results or counterexample construction. Attribution source: https://arxiv.org/abs/2609.06775v1 Publication status: not_individually_checked 0772. Integral curvature estimates and geodesic limits for stable abelian Higgs fields [ARXIV-2609.21893] Authors: not yet recorded First posted: 2026-09-18T15:19:45Z; last revision: 2026-10-05T21:48:08Z Source: https://arxiv.org/abs/2609.21893v2 AI status: Paper reports AI contribution to mathematical arguments/results AI role: Metadata explicitly credits AI with proof arguments, proof strategy, mathematical results or counterexample construction. Attribution source: https://arxiv.org/abs/2609.21893v2 Publication status: not_individually_checked 0773. Kalai's Conjecture for Tight Trees [ARXIV-2609.08012] Authors: not yet recorded First posted: 2026-09-07T21:48:05Z; last revision: 2026-09-07T21:48:05Z Source: https://arxiv.org/abs/2609.08012v1 AI status: Paper reports AI contribution to mathematical arguments/results AI role: Metadata explicitly credits AI with proof arguments, proof strategy, mathematical results or counterexample construction. Attribution source: https://arxiv.org/abs/2609.08012v1 Publication status: not_individually_checked 0774. Lattice polytopes of large width have real-rooted Ehrhart $h^*$-polynomials [ARXIV-2608.03635] Authors: not yet recorded First posted: 2026-08-04T13:19:26Z; last revision: 2026-08-04T13:19:26Z Source: https://arxiv.org/abs/2608.03635v1 AI status: Paper reports AI contribution to mathematical arguments/results AI role: Metadata explicitly credits AI with proof arguments, proof strategy, mathematical results or counterexample construction. Attribution source: https://arxiv.org/abs/2608.03635v1 Publication status: not_individually_checked 0775. Lower bounds for multivariate independence polynomials and their generalisations [ARXIV-2602.02450] Authors: Joonkyung Lee; Jaehyeon Seo First posted: 2026-02-02T18:43:44Z; last revision: 2026-08-05T21:38:26Z Source: https://arxiv.org/abs/2602.02450v1 AI status: Paper reports AI contribution to mathematical arguments/results AI role: Derived a key lemma and contributed to the related theorem argument; the authors integrated and completed the proofs. Attribution source: https://arxiv.org/html/2602.02450v1 Publication status: not_individually_checked 0776. Medvedev logic is undecidable [ARXIV-2609.13359] Authors: not yet recorded First posted: 2026-09-11T17:49:49Z; last revision: 2026-09-11T17:49:49Z Source: https://arxiv.org/abs/2609.13359v1 AI status: Paper reports AI contribution to mathematical arguments/results AI role: Metadata explicitly credits AI with proof arguments, proof strategy, mathematical results or counterexample construction. Attribution source: https://arxiv.org/abs/2609.13359v1 Publication status: not_individually_checked 0777. Minimum Edge-Outerplanar Embeddings are Polynomial-Time Computable [ARXIV-2607.08110] Authors: not yet recorded First posted: 2026-07-09T04:50:43Z; last revision: 2026-07-09T04:50:43Z Source: https://arxiv.org/abs/2607.08110v1 AI status: Paper reports AI contribution to mathematical arguments/results AI role: Metadata explicitly credits AI with proof arguments, proof strategy, mathematical results or counterexample construction. Attribution source: https://arxiv.org/abs/2607.08110v1 Publication status: not_individually_checked 0778. Moonshine: An Autonomous Mathematical Research Agent Centered on Conjecture Generation [ARXIV-2606.10806] Authors: not yet recorded First posted: 2026-06-09T12:50:56Z; last revision: 2026-06-09T12:50:56Z Source: https://arxiv.org/abs/2606.10806v1 AI status: Paper reports AI contribution to mathematical arguments/results AI role: Metadata explicitly credits AI with proof arguments, proof strategy, mathematical results or counterexample construction. Attribution source: https://arxiv.org/abs/2606.10806v1 Publication status: not_individually_checked 0779. More than two thirds of the zeta zeros are simple and on the critical line [ARXIV-2608.13637] Authors: Levent Alpöge; Ralph Furman First posted: 2026-08-13T17:44:42Z; last revision: 2026-08-19T18:17:52Z Source: https://arxiv.org/abs/2608.13637 AI status: Paper reports AI contribution to mathematical arguments/results AI role: Produced the reported proof; Anthropic describes examination by mathematicians and formalization. Attribution source: https://www.anthropic.com/research/riemann-zeta Publication status: not_individually_checked 0780. Near-Optimal Dimension Lower Bounds for Single-Vector Embeddings of Maximum Inner Product Similarity [ARXIV-2607.20393] Authors: not yet recorded First posted: 2026-07-22T17:27:20Z; last revision: 2026-07-25T05:20:41Z Source: https://arxiv.org/abs/2607.20393v2 AI status: Paper reports AI contribution to mathematical arguments/results AI role: Metadata explicitly credits AI with proof arguments, proof strategy, mathematical results or counterexample construction. Attribution source: https://arxiv.org/abs/2607.20393v2 Publication status: not_individually_checked 0781. New lower bounds for the degree/diameter problem via interaction with a browser-accessible LLM [ARXIV-2606.15860] Authors: not yet recorded First posted: 2026-06-14T15:29:58Z; last revision: 2026-06-14T15:29:58Z Source: https://arxiv.org/abs/2606.15860v1 AI status: Paper reports AI contribution to mathematical arguments/results AI role: Metadata explicitly credits AI with proof arguments, proof strategy, mathematical results or counterexample construction. Attribution source: https://arxiv.org/abs/2606.15860v1 Publication status: not_individually_checked 0782. No compromise in the liquid drop model [ARXIV-2608.11517] Authors: Otis Chodosh; Matilde Gianocca First posted: 2026-08-12T00:12:15Z; last revision: 2026-08-12T00:12:15Z Source: https://arxiv.org/abs/2608.11517 AI status: Paper reports AI contribution to mathematical arguments/results AI role: Metadata explicitly credits AI with proof arguments, proof strategy, mathematical results or counterexample construction. Attribution source: https://subroy13.github.io/awesome-ai-proofs/problems/gamow-liquid-drop-minimizers.html Publication status: not_individually_checked 0783. Non-MF groups and non-finite full group C*-algebras [ARXIV-2608.28772] Authors: not yet recorded First posted: 2026-08-28T18:29:11Z; last revision: 2026-08-28T18:29:11Z Source: https://arxiv.org/abs/2608.28772v1 AI status: Paper reports AI contribution to mathematical arguments/results AI role: Metadata explicitly credits AI with proof arguments, proof strategy, mathematical results or counterexample construction. Attribution source: https://arxiv.org/abs/2608.28772v1 Publication status: not_individually_checked 0784. On Feige's conjecture [ARXIV-2607.24528] Authors: Zipei Nie; Jiaye Wei First posted: 2026-07-27T15:07:59Z; last revision: 2026-07-27T15:07:59Z Source: https://arxiv.org/abs/2607.24528v1 AI status: Paper reports AI contribution to mathematical arguments/results AI role: Metadata explicitly credits AI with proof arguments, proof strategy, mathematical results or counterexample construction. Attribution source: https://arxiv.org/abs/2607.23980v1 Publication status: not_individually_checked 0785. On the Gap of Finite Posets [ARXIV-2608.12678] Authors: not yet recorded First posted: 2026-08-13T00:27:56Z; last revision: 2026-09-02T20:04:44Z Source: https://arxiv.org/abs/2608.12678v2 AI status: Paper reports AI contribution to mathematical arguments/results AI role: Metadata explicitly credits AI with proof arguments, proof strategy, mathematical results or counterexample construction. Attribution source: https://arxiv.org/abs/2608.12678v2 Publication status: not_individually_checked 0786. On the II$_{1}$ Factors of Fuchsian Groups [ARXIV-2609.11074] Authors: not yet recorded First posted: 2026-09-10T04:31:05Z; last revision: 2026-09-10T04:31:05Z Source: https://arxiv.org/abs/2609.11074v1 AI status: Paper reports AI contribution to mathematical arguments/results AI role: Metadata explicitly credits AI with proof arguments, proof strategy, mathematical results or counterexample construction. Attribution source: https://arxiv.org/abs/2609.11074v1 Publication status: not_individually_checked 0787. Online Beck--Fiala Down to Logarithmic Sparsity [ARXIV-2607.14238] Authors: not yet recorded First posted: 2026-07-15T18:01:43Z; last revision: 2026-07-15T18:01:43Z Source: https://arxiv.org/abs/2607.14238v1 AI status: Paper reports AI contribution to mathematical arguments/results AI role: Metadata explicitly credits AI with proof arguments, proof strategy, mathematical results or counterexample construction. Attribution source: https://arxiv.org/abs/2607.14238v1 Publication status: not_individually_checked 0788. Optimal $e^{(γ+o(1))n}$-Approximation of the Permanent of Positive Semidefinite Matrices [ARXIV-2605.21946] Authors: not yet recorded First posted: 2026-05-21T03:25:29Z; last revision: 2026-05-21T03:25:29Z Source: https://arxiv.org/abs/2605.21946v1 AI status: Paper reports AI contribution to mathematical arguments/results AI role: Metadata explicitly credits AI with proof arguments, proof strategy, mathematical results or counterexample construction. Attribution source: https://arxiv.org/abs/2605.21946v1 Publication status: not_individually_checked 0789. Optimal bound for the polynomial Littlewood-Offord problem [ARXIV-2610.08708] Authors: Alexandr Grebennikov First posted: 2026-10-06T17:17:50Z; last revision: 2026-10-07T16:49:06Z Source: https://arxiv.org/abs/2610.08708 AI status: Paper reports AI contribution to mathematical arguments/results AI role: Metadata explicitly credits AI with proof arguments, proof strategy, mathematical results or counterexample construction. Attribution source: https://subroy13.github.io/awesome-ai-proofs/problems/polynomial-littlewood-offord.html Publication status: not_individually_checked 0790. Optimal Mixing of Glauber Dynamics for the Sherrington-Kirkpatrick Model at $β< 1/2$ [ARXIV-2608.22159] Authors: not yet recorded First posted: 2026-08-23T01:18:21Z; last revision: 2026-08-28T05:23:09Z Source: https://arxiv.org/abs/2608.22159v2 AI status: Paper reports AI contribution to mathematical arguments/results AI role: Metadata explicitly credits AI with proof arguments, proof strategy, mathematical results or counterexample construction. Attribution source: https://arxiv.org/abs/2608.22159v2 Publication status: not_individually_checked 0791. Optimal Online Discrepancy Minimization in Linear Time [ARXIV-2607.04388] Authors: not yet recorded First posted: 2026-07-05T16:31:42Z; last revision: 2026-07-05T16:31:42Z Source: https://arxiv.org/abs/2607.04388v1 AI status: Paper reports AI contribution to mathematical arguments/results AI role: Metadata explicitly credits AI with proof arguments, proof strategy, mathematical results or counterexample construction. Attribution source: https://arxiv.org/abs/2607.04388v1 Publication status: not_individually_checked 0792. Optimal Shallow Circuits for Majority [ARXIV-2609.34029] Authors: not yet recorded First posted: 2026-09-27T23:50:54Z; last revision: 2026-09-30T17:43:39Z Source: https://arxiv.org/abs/2609.34029v2 AI status: Paper reports AI contribution to mathematical arguments/results AI role: Metadata explicitly credits AI with proof arguments, proof strategy, mathematical results or counterexample construction. Attribution source: https://arxiv.org/abs/2609.34029v2 Publication status: not_individually_checked 0793. Overlap distribution of the critical Sherrington-Kirkpatrick model [ARXIV-2608.08752] Authors: not yet recorded First posted: 2026-08-09T15:03:26Z; last revision: 2026-08-09T15:03:26Z Source: https://arxiv.org/abs/2608.08752v1 AI status: Paper reports AI contribution to mathematical arguments/results AI role: Metadata explicitly credits AI with proof arguments, proof strategy, mathematical results or counterexample construction. Attribution source: https://arxiv.org/abs/2608.08752v1 Publication status: not_individually_checked 0794. Pairwise-Independent Dithering for Single-Stage Hadamard Quantization [ARXIV-2608.02564] Authors: not yet recorded First posted: 2026-08-03T17:44:45Z; last revision: 2026-08-04T05:27:07Z Source: https://arxiv.org/abs/2608.02564v2 AI status: Paper reports AI contribution to mathematical arguments/results AI role: Metadata explicitly credits AI with proof arguments, proof strategy, mathematical results or counterexample construction. Attribution source: https://arxiv.org/abs/2608.02564v2 Publication status: not_individually_checked 0795. Paths maximize the expected range of graph-indexed random walks [ARXIV-2609.19728] Authors: not yet recorded First posted: 2026-09-17T05:36:18Z; last revision: 2026-09-17T05:36:18Z Source: https://arxiv.org/abs/2609.19728v1 AI status: Paper reports AI contribution to mathematical arguments/results AI role: Metadata explicitly credits AI with proof arguments, proof strategy, mathematical results or counterexample construction. Attribution source: https://arxiv.org/abs/2609.19728v1 Publication status: not_individually_checked 0796. Pierce-Birkhoff conjecture is false [ARXIV-2609.10420] Authors: Zehua Lai; Lek-Heng Lim; Junyu Ren First posted: 2026-09-09T16:37:18Z; last revision: 2026-09-09T16:37:18Z Source: https://arxiv.org/abs/2609.10420 AI status: Paper reports AI contribution to mathematical arguments/results AI role: Metadata explicitly credits AI with proof arguments, proof strategy, mathematical results or counterexample construction. Attribution source: https://subroy13.github.io/awesome-ai-proofs/problems/pierce-birkhoff-conjecture.html Publication status: not_individually_checked 0797. Polynomial interpolation and the Waldschmidt constant of points in projective space [ARXIV-2608.16040] Authors: Tài Huy Hà; Aniketh Sivakumar First posted: 2026-08-17T03:09:40Z; last revision: 2026-08-17T03:09:40Z Source: https://arxiv.org/abs/2608.16040 AI status: Paper reports AI contribution to mathematical arguments/results AI role: Metadata explicitly credits AI with proof arguments, proof strategy, mathematical results or counterexample construction. Attribution source: https://arxiv.org/html/2608.24961v1#S3.T3 Publication status: not_individually_checked 0798. Positive formulas for q-Zeta numerators of Ferrers-cell posets [ARXIV-2609.24541] Authors: not yet recorded First posted: 2026-09-21T13:11:50Z; last revision: 2026-09-21T13:11:50Z Source: https://arxiv.org/abs/2609.24541v1 AI status: Paper reports AI contribution to mathematical arguments/results AI role: Metadata explicitly credits AI with proof arguments, proof strategy, mathematical results or counterexample construction. Attribution source: https://arxiv.org/abs/2609.24541v1 Publication status: not_individually_checked 0799. Quadratic-size Random Permutations are Universal [ARXIV-2610.13530] Authors: not yet recorded First posted: 2026-10-09T12:50:06Z; last revision: 2026-10-09T12:50:06Z Source: https://arxiv.org/abs/2610.13530v1 AI status: Paper reports AI contribution to mathematical arguments/results AI role: Metadata explicitly credits AI with proof arguments, proof strategy, mathematical results or counterexample construction. Attribution source: https://arxiv.org/abs/2610.13530v1 Publication status: not_individually_checked 0800. Regular simple nuclear C*-algebras [ARXIV-2610.09390] Authors: not yet recorded First posted: 2026-10-07T03:48:50Z; last revision: 2026-10-07T03:48:50Z Source: https://arxiv.org/abs/2610.09390v1 AI status: Paper reports AI contribution to mathematical arguments/results AI role: Metadata explicitly credits AI with proof arguments, proof strategy, mathematical results or counterexample construction. Attribution source: https://arxiv.org/abs/2610.09390v1 Publication status: not_individually_checked 0801. Removing the Torsion-free Hypothesis in a Positivity Theorem on Deligne-Mumford Stacks [ARXIV-2607.26989] Authors: not yet recorded First posted: 2026-07-29T14:47:46Z; last revision: 2026-07-29T14:47:46Z Source: https://arxiv.org/abs/2607.26989v1 AI status: Paper reports AI contribution to mathematical arguments/results AI role: Metadata explicitly credits AI with proof arguments, proof strategy, mathematical results or counterexample construction. Attribution source: https://arxiv.org/abs/2607.26989v1 Publication status: not_individually_checked 0802. Row pathwidth of complete binary trees [ARXIV-2608.09495] Authors: not yet recorded First posted: 2026-08-10T12:02:50Z; last revision: 2026-08-10T12:02:50Z Source: https://arxiv.org/abs/2608.09495v1 AI status: Paper reports AI contribution to mathematical arguments/results AI role: Metadata explicitly credits AI with proof arguments, proof strategy, mathematical results or counterexample construction. Attribution source: https://arxiv.org/abs/2608.09495v1 Publication status: not_individually_checked 0803. Sharp small-deviation inequalities for sums of independent nonnegative random variables [ARXIV-2607.23980] Authors: Weibo Fu; Yanjun Han; Guanyang Wang; Jun Yan; Peng Zhang; Zhengqing Zhou First posted: 2026-07-27T04:06:33Z; last revision: 2026-07-27T04:06:33Z Source: https://arxiv.org/abs/2607.23980v1 AI status: Paper reports AI contribution to mathematical arguments/results AI role: Found the initial proof; the authors report checking, revising and rewriting it. Attribution source: https://arxiv.org/html/2607.23980v1 Publication status: not_individually_checked 0804. Sharper Zarankiewicz and Diagonal Bipartite Ramsey Bounds [ARXIV-2609.32937] Authors: not yet recorded First posted: 2026-09-26T20:49:55Z; last revision: 2026-09-26T20:49:55Z Source: https://arxiv.org/abs/2609.32937v1 AI status: Paper reports AI contribution to mathematical arguments/results AI role: Metadata explicitly credits AI with proof arguments, proof strategy, mathematical results or counterexample construction. Attribution source: https://arxiv.org/abs/2609.32937v1 Publication status: not_individually_checked 0805. Short Proofs in Algebraic and Enumerative Combinatorics [ARXIV-2605.19979] Authors: not yet recorded First posted: 2026-05-19T15:21:46Z; last revision: 2026-05-25T15:03:03Z Source: https://arxiv.org/abs/2605.19979v3 AI status: Paper reports AI contribution to mathematical arguments/results AI role: Metadata explicitly credits AI with proof arguments, proof strategy, mathematical results or counterexample construction. Attribution source: https://arxiv.org/abs/2605.19979v3 Publication status: not_individually_checked 0806. Short-time existence for the Schouten flow [ARXIV-2609.06503] Authors: not yet recorded First posted: 2026-09-06T09:39:43Z; last revision: 2026-09-06T09:39:43Z Source: https://arxiv.org/abs/2609.06503v1 AI status: Paper reports AI contribution to mathematical arguments/results AI role: Metadata explicitly credits AI with proof arguments, proof strategy, mathematical results or counterexample construction. Attribution source: https://arxiv.org/abs/2609.06503v1 Publication status: not_individually_checked 0807. Should Tables Be Sorted? Revisited with a Large Language Model [ARXIV-2609.14032] Authors: Songhua He First posted: 2026-09-12T16:32:41Z; last revision: 2026-09-15T05:22:40Z Source: https://arxiv.org/abs/2609.14032 AI status: Paper reports AI contribution to mathematical arguments/results AI role: Metadata explicitly credits AI with proof arguments, proof strategy, mathematical results or counterexample construction. Attribution source: https://subroy13.github.io/awesome-ai-proofs/problems/yao-implicit-membership.html Publication status: not_individually_checked 0808. Spectral Gap for the Binary Fixed-Margin Swap Chain [ARXIV-2606.22636] Authors: not yet recorded First posted: 2026-06-21T18:46:59Z; last revision: 2026-07-13T03:28:59Z Source: https://arxiv.org/abs/2606.22636v2 AI status: Paper reports AI contribution to mathematical arguments/results AI role: Metadata explicitly credits AI with proof arguments, proof strategy, mathematical results or counterexample construction. Attribution source: https://arxiv.org/abs/2606.22636v2 Publication status: not_individually_checked 0809. Spectral Gap of Down-Up Walks via Trickle-Down: A Simplified and Sharpened Analysis [ARXIV-2609.19514] Authors: not yet recorded First posted: 2026-09-17T00:04:20Z; last revision: 2026-09-17T00:04:20Z Source: https://arxiv.org/abs/2609.19514v1 AI status: Paper reports AI contribution to mathematical arguments/results AI role: Metadata explicitly credits AI with proof arguments, proof strategy, mathematical results or counterexample construction. Attribution source: https://arxiv.org/abs/2609.19514v1 Publication status: not_individually_checked 0810. The alpha spectrum of K-polystable toric $\mathbb{Q}$-Fano varieties [ARXIV-2608.14115] Authors: not yet recorded First posted: 2026-08-14T09:17:22Z; last revision: 2026-08-17T07:16:10Z Source: https://arxiv.org/abs/2608.14115v2 AI status: Paper reports AI contribution to mathematical arguments/results AI role: Metadata explicitly credits AI with proof arguments, proof strategy, mathematical results or counterexample construction. Attribution source: https://arxiv.org/abs/2608.14115v2 Publication status: not_individually_checked 0811. The Benjamini--Hochberg Procedure Can Fail to Control the FDR for Correlated Two-Sided Gaussian Tests [ARXIV-2607.12208] Authors: not yet recorded First posted: 2026-07-13T23:18:13Z; last revision: 2026-07-13T23:18:13Z Source: https://arxiv.org/abs/2607.12208v1 AI status: Paper reports AI contribution to mathematical arguments/results AI role: Metadata explicitly credits AI with proof arguments, proof strategy, mathematical results or counterexample construction. Attribution source: https://arxiv.org/abs/2607.12208v1 Publication status: not_individually_checked 0812. The Condition-Number Barrier in Sparse Least Squares [ARXIV-2608.02588] Authors: not yet recorded First posted: 2026-08-03T17:57:01Z; last revision: 2026-08-03T17:57:01Z Source: https://arxiv.org/abs/2608.02588v1 AI status: Paper reports AI contribution to mathematical arguments/results AI role: Metadata explicitly credits AI with proof arguments, proof strategy, mathematical results or counterexample construction. Attribution source: https://arxiv.org/abs/2608.02588v1 Publication status: not_individually_checked 0813. The equality case of Ehrhart's volume conjecture [ARXIV-2608.01040] Authors: not yet recorded First posted: 2026-08-02T06:54:11Z; last revision: 2026-08-06T08:48:26Z Source: https://arxiv.org/abs/2608.01040v2 AI status: Paper reports AI contribution to mathematical arguments/results AI role: Metadata explicitly credits AI with proof arguments, proof strategy, mathematical results or counterexample construction. Attribution source: https://arxiv.org/abs/2608.01040v2 Publication status: not_individually_checked 0814. The Erdős--Sós Conjecture: A visual exposition of the proof discovered by GPT-6 Astra [ARXIV-2609.32011] Authors: not yet recorded First posted: 2026-09-25T21:18:08Z; last revision: 2026-09-25T21:18:08Z Source: https://arxiv.org/abs/2609.32011v1 AI status: Paper reports AI contribution to mathematical arguments/results AI role: Metadata explicitly credits AI with proof arguments, proof strategy, mathematical results or counterexample construction. Attribution source: https://arxiv.org/abs/2609.32011v1 Publication status: not_individually_checked 0815. The Erdős--Sós Theorem [ARXIV-2609.17877] Authors: not yet recorded First posted: 2026-09-15T22:06:06Z; last revision: 2026-09-15T22:06:06Z Source: https://arxiv.org/abs/2609.17877v1 AI status: Paper reports AI contribution to mathematical arguments/results AI role: Metadata explicitly credits AI with proof arguments, proof strategy, mathematical results or counterexample construction. Attribution source: https://arxiv.org/abs/2609.17877v1 Publication status: not_individually_checked 0816. The Higher-order Stirling Triangles [ARXIV-2610.09362] Authors: not yet recorded First posted: 2026-10-07T03:16:34Z; last revision: 2026-10-07T03:16:34Z Source: https://arxiv.org/abs/2610.09362v1 AI status: Paper reports AI contribution to mathematical arguments/results AI role: Metadata explicitly credits AI with proof arguments, proof strategy, mathematical results or counterexample construction. Attribution source: https://arxiv.org/abs/2610.09362v1 Publication status: not_individually_checked 0817. The List Total Colouring Conjecture is False [ARXIV-2609.38417] Authors: not yet recorded First posted: 2026-09-29T19:11:59Z; last revision: 2026-09-29T19:11:59Z Source: https://arxiv.org/abs/2609.38417v1 AI status: Paper reports AI contribution to mathematical arguments/results AI role: Metadata explicitly credits AI with proof arguments, proof strategy, mathematical results or counterexample construction. Attribution source: https://arxiv.org/abs/2609.38417v1 Publication status: not_individually_checked 0818. The motivic class of the space of genus $0$ maps to the flag variety [ARXIV-2601.07222] Authors: not yet recorded First posted: 2026-01-12T05:36:59Z; last revision: 2026-09-11T20:27:25Z Source: https://arxiv.org/abs/2601.07222v2 AI status: Paper reports AI contribution to mathematical arguments/results AI role: Metadata explicitly credits AI with proof arguments, proof strategy, mathematical results or counterexample construction. Attribution source: https://arxiv.org/abs/2601.07222v2 Publication status: not_individually_checked 0819. The Partial List Colouring Conjecture is False [ARXIV-2609.23291] Authors: Jonathan A. Noel First posted: 2026-09-20T01:58:08Z; last revision: 2026-09-20T01:58:08Z Source: https://arxiv.org/abs/2609.23291 AI status: Paper reports AI contribution to mathematical arguments/results AI role: Metadata explicitly credits AI with proof arguments, proof strategy, mathematical results or counterexample construction. Attribution source: https://subroy13.github.io/awesome-ai-proofs/problems/partial-list-colouring.html Publication status: not_individually_checked 0820. The Strong Secretary Conjecture is True for Linear Matroids [ARXIV-2609.20797] Authors: not yet recorded First posted: 2026-09-17T17:54:37Z; last revision: 2026-09-17T17:54:37Z Source: https://arxiv.org/abs/2609.20797v1 AI status: Paper reports AI contribution to mathematical arguments/results AI role: Metadata explicitly credits AI with proof arguments, proof strategy, mathematical results or counterexample construction. Attribution source: https://arxiv.org/abs/2609.20797v1 Publication status: not_individually_checked 0821. Three omitted values and non-Blaschke point divisors in half-planes [ARXIV-2608.26062] Authors: Quanyu Tang; Bokai Cui; Wei He; Tao Hu; Yanyang Li; Ke Wang; Zijun Yu First posted: 2026-08-26T17:30:53Z; last revision: 2026-10-06T19:29:35Z Source: https://arxiv.org/abs/2608.26062 AI status: Paper reports AI contribution to mathematical arguments/results AI role: Metadata explicitly credits AI with proof arguments, proof strategy, mathematical results or counterexample construction. Attribution source: https://subroy13.github.io/awesome-ai-proofs/problems/nevanlinna-three-omitted-values.html Publication status: not_individually_checked 0822. Tight upper bound on d_GH(S^1,S^{2k+1}): GPT’s short proof [ARXIV-2608.21587] Authors: Henry Adams First posted: 2026-08-21T19:41:49Z; last revision: 2026-09-17T21:12:15Z Source: https://arxiv.org/abs/2608.21587v1 AI status: Paper reports AI contribution to mathematical arguments/results AI role: Produced the short proof; the author reports editing its writing. Attribution source: https://arxiv.org/html/2608.21587v1 Publication status: not_individually_checked 0823. Trees that can be grown in "too many" ways: Bouch's construction and a bound for every size [ARXIV-2412.16912] Authors: not yet recorded First posted: 2024-12-22T08:07:36Z; last revision: 2026-09-11T03:51:40Z Source: https://arxiv.org/abs/2412.16912v4 AI status: Paper reports AI contribution to mathematical arguments/results AI role: Metadata explicitly credits AI with proof arguments, proof strategy, mathematical results or counterexample construction. Attribution source: https://arxiv.org/abs/2412.16912v4 Publication status: not_individually_checked 0824. Triangles minimize the Monge-Ampère eigenvalue among planar bounded convex domains of a given area [ARXIV-2609.15563] Authors: not yet recorded First posted: 2026-09-14T13:43:23Z; last revision: 2026-09-15T16:01:08Z Source: https://arxiv.org/abs/2609.15563v2 AI status: Paper reports AI contribution to mathematical arguments/results AI role: Metadata explicitly credits AI with proof arguments, proof strategy, mathematical results or counterexample construction. Attribution source: https://arxiv.org/abs/2609.15563v2 Publication status: not_individually_checked 0825. Tuza's Ryser-conjecture claim for four-partite hypergraphs with matching number two [ARXIV-2609.14281] Authors: not yet recorded First posted: 2026-09-13T04:38:11Z; last revision: 2026-09-13T04:38:11Z Source: https://arxiv.org/abs/2609.14281v1 AI status: Paper reports AI contribution to mathematical arguments/results AI role: Metadata explicitly credits AI with proof arguments, proof strategy, mathematical results or counterexample construction. Attribution source: https://arxiv.org/abs/2609.14281v1 Publication status: not_individually_checked 0826. Weak Order on the MacNeille Completion of Bruhat Order [ARXIV-2605.08033] Authors: not yet recorded First posted: 2026-05-08T17:23:19Z; last revision: 2026-09-06T14:26:56Z Source: https://arxiv.org/abs/2605.08033v2 AI status: Paper reports AI contribution to mathematical arguments/results AI role: Metadata explicitly credits AI with proof arguments, proof strategy, mathematical results or counterexample construction. Attribution source: https://arxiv.org/abs/2605.08033v2 Publication status: not_individually_checked