OpenAI Shares Astra Proofs for Ten Math Advances

OpenAI researcher Sébastien 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 Erdős unit-distance conjecture in May.