6 min read
OpenAI Publishes Ten Decade-Open Math Proofs, Each Formalized in Lean
OpenAI's Astra model produced results on ten decade-old math problems, including Erdős problems, each with a Lean 4 certificate. What shipped and why.
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MATHEMATICS
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OpenAI Math Repo: What the Lean Proofs Do and Don't Verify
OpenAI's math repo holds hundreds of model-written manuscripts, some with Lean proofs. What Lean verifies, what it misses, and the lesson for agent output.
•7 min read
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9 min read
Terence Tao Digests the Jacobian Conjecture Counterexample: How Claude Fable 5 Broke an 87-Year-Old Math Problem
Claude Fable 5 found a counterexample to the 87-year-old Jacobian conjecture, and Terence Tao worked through the math. How it works and what HN is saying.
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5 min read
GPT-5.6 Closes 30-Year Gap in Convex Optimization Theory
GPT-5.6 helped produce a Lean-verified proof closing a 1996 gap in derivative-free convex optimization. How the 10-page expert prompt worked, and what HN said.
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5 min read
GPT-5.6 Sol Ultra Produces Proof of the Cycle Double Cover Conjecture
GPT-5.6 Sol Ultra proof of the Cycle Double Cover Conjecture: what OpenAI claims, the prompt it used, and why mathematicians are still verifying the result.
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