OpenAI said on August 1 that its next major model family, now named Astra, produced machine-checkable Lean 4 proofs for ten previously open problems in mathematics and theoretical computer science, each unsolved for at least a decade, alongside a 249-page technical manuscript. The headline result is the first explicit construction of a non-sofic group, a central open question in group theory, and OpenAI said the compute cost across all ten solutions was roughly $2,000 at Sol API rates; Fields medalist Timothy Gowers called it a milestone for AI-assisted mathematics. Astra itself remains unreleased.
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