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OpenAI Publishes Lean 4 Certificates for Ten Claimed Math and TCS Results
openai/ten-proofs went up on 2026-08-01 (459 stars, 41 forks, Lean) with machine-checkable formalizations accompanying OpenAI's 'Ten advances in mathematics and theoretical computer science' paper. Each result gets its own file — SpherePacking.lean for improved asymptotic sphere-packing bounds reaching the Cohn–Elkies threshold, NonSoficGroup.lean for a non-sofic group construction, ConnesRigidity.lean for a counterexample to Connes's rigidity conjecture, Permanent.lean for an n⁴/log n arithmetic formula lower bound. Shipping the Lean certificates alongside the PDF, rather than the PDF alone, is the notable part: it makes the claims verifiable by machine rather than by referee.
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