MATHEMATICS

OpenAI put hundreds of model-written math manuscripts on GitHub, about 42% of top-line results with Lean proofs. What the repo actually claims, how the Lean check works, where Hacker News pushed back, and the verification lesson for anyone shipping agent output.

OpenAI's next model, codenamed Astra, produced results on ten problems open for at least a decade - including non-sofic groups and Erdős problems 146, 180, and 183 - with every argument formalized as a Lean certificate.

Terence Tao published a deep mathematical digestion of the Jacobian conjecture counterexample discovered by Claude Fable 5. Here is what happened, what HN is saying, and what it means for AI-assisted research.

A researcher's 10-page domain-expert prompt helped GPT-5.6 produce a Lean-verified proof closing a complexity gap that stood since 1996. The paper is now on arXiv.

OpenAI claims GPT-5.6 Sol Ultra has generated a proof for a 50-year-old graph theory conjecture in under an hour. The math community is now verifying whether it holds up.