OpenAI claims three new AI results, including a refutation of ETH, now public on GitHub with a Lean proof. None is peer reviewed, and its math advisers object.
A 17 October guest post on Terence Tao's blog proposes a math journal that requires proofs formally verified in Lean, citing errors in LLM-assisted proofs.
Tao says Open Math OS is soft-launched with DeepSeek V4.1 Flash, Kimi K3, and GLM 5.3 Flash on donated compute. Free academic accounts are still being granted.
Shanghai AI Lab says Intern-S2 helped on a 3D Ghys case. Zhang's preprint states a codimension-one theorem. Lean checks four theorems, one hypothesis open.
A King's College London and Cambridge preprint argues that OpenAI's Lean files for a Navier-Stokes blow-up proof do not match the English argument. The authors do not judge whether that English proof is correct.
doubleAI's October 2026 paper states an 8/5 girth constant for explicit regular graphs, above the 1988 bound of 4/3. The PDF is not a journal article. Ctech says the company puts the compute under $2,000.
OpenAI's math repository withdrew three manuscripts after a sign error, revised 14 others, and updated citations in 13 more. The README now lists 719 manuscripts, with 300 of 719 top-line results Lean-formalized.
OpenAI's GitHub catalogue lists 722 math manuscripts in 372 families from an unreleased internal model. Not all have Lean checks, and OpenAI says some unformalized results could have issues.