OpenAI Astra Solves 10 Unsolved Math Problems Using $2,000 Worth of Sol API Tokens

Astra resolves decade-old mathematical and computer science challenges, including Connes' rigidity conjecture, with proofs verified via Lean certificates.

Woofun AI reports that OpenAI has unveiled Astra, a new flagship model that achieved breakthroughs on 10 long-standing unsolved problems in mathematics and theoretical computer science. The model constructed a non-sofic group, overturned Connes' rigidity conjecture, and resolved three Erdős problems, while establishing new bounds in sphere packing, coding theory, and quantum complexity.

OpenAI stated that the computational cost for these results was equivalent to approximately $2,000 based on Sol API pricing. Humans assisted in organizing the generated proofs into papers, after which Astra converted them into Lean certificates for computer verification. The organization has publicly released the papers, proof certificates, and the model's reasoning process.