OpenAI Shares Astra Proofs for Ten Math Advances
Internal Astra model produces Lean-certified proofs for ten open problems across math and theoretical computer science.
TLDR
OpenAI researcher SĂ©bastien Bubeck announced that an internal version of the upcoming Astra model solved ten open problems. Greg Brockman added that the work cost roughly $2000 at current API rates. The results span von Neumann algebras, sphere packing bounds, circuit complexity, and Ramsey theory. Each proof ships with Lean certificates and chain-of-thought records. An official OpenAI page lists the ten advances in geometry, cryptography, and complexity. The same model previously tackled the ErdĆs unit-distance conjecture in May.
