OpenAI · Research Paper

Ten Advances in Mathematics

An internal version of Astra produced ten new results on problems untouched for a decade or more, at roughly $2,000 of tokens each at GPT-5.6 Sol rates. The 249-page manuscript ships every proof with a machine-checkable Lean 4 certificate. Highlights include a non-sofic group answering a 1999 Gromov question and a counterexample to the Connes rigidity conjecture. Peer review pending.

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