The article reports an independent human audit of a proof from OpenAI’s "Ten Advances in Mathematics and Theoretical Computer Science." An initial review flagged a polarity error in a greedy conditioning lemma, but this was traced to a PDF text‑extraction issue that removed an overbar from a symbol. After correcting the rendering, no mathematical error was found, and the audit underscores that errors in AI‑generated mathematics can stem from document‑processing problems as well as reasoning mistakes.
By Miko{\l}aj Sienicki, Krzysztof Sienicki
arXiv:2610.17090v1 Announce Type: cross
Abstract: On 6 October 2026 OpenAI published an initial 722 AI-written mathematical manuscripts, organized into 372 problem families, in the public repository...
By Ying Xie
arXiv:2608.28997v1 Announce Type: new
Abstract: In May 2026 an OpenAI model produced a counterexample to the Erd\H{o}s unit distance conjecture. Five mathematicians published a human-verified version...
By Maher Kallel, Mohamed El Louadi
arXiv:2608. 15432v1 Announce Type: new Abstract: In formal verification, both the autoformalization of statements and automated proof search have been studied extensively.
By Tadd Mao, Tianjun Zhong, Dhruva Arekar, Yuming Feng, One An, Jiani Huang, Xujie Si, Ziyang Li
Automatically constructing well-specified and valuable mathematical conjectures remains a central challenge in AI-assisted mathematical discovery. Many existing open problems and conjectures are often too broad, underspecified, or difficult to connect to plausible proof or refutation strategies.
The paper introduces OpenConjecture, a dataset of mathematical conjectures from arXiv papers since February 2026, and evaluates frontier GPT models on 200 randomly sampled conjectures. The models generate candidate solutions for about 60% of the conjectures, with counterexamples occurring roughly 1.3 times more often than proofs. The study examines solution novelty, citation practices, and fidelity to the original statements, finding that some solutions deviate from authors’ intent and that many proofs closely follow existing results, though some exhibit moderate novelty.
By Helen Jenne, Davis Brown, Jesse He, Henry Kvinge