OpenAI's next flagship AI model, Astra, achieves new results on 10 mathematics and theoretical computer science tasks, with proofs formalized in Lean 4 for machine verification

OpenAI said an internal version of Astra made new progress on 10 open problems in mathematics and theoretical computer science.

The company released a 249-page paper along with Lean 4 proof certificates and verification materials on GitHub.

The work touches notable problems including the Connes rigidity conjecture, the Erdős unit distance conjecture, and the Ehrhart volume conjecture.

The announcement suggests AI may contribute to original research, while Lean 4 formalization makes the results independently machine-checkable.