OpenAI's unreleased Astra model solves ten open math problems for about $2,000 in tokens
OpenAI says an internal version of Astra, its next model family, cracked ten problems that had stood for a decade or more — including the first construction of a non-sofic group and a refutation of Connes's rigidity conjecture — and formalized each proof in Lean. The Lean certificates matter more than the count: correctness is machine-checkable without trusting the model, and the tokens cost roughly $2,000 at Sol API rates. Astra has no release date and would be the first model routed through the planned U.S. federal pre-release review.
Source: the-decoder.com ↗
The model also formalized each proof in Lean, creating machine-checkable certificates of mathematical correctness.
OpenAI
Why this matters
- → Verifiable math proofs eliminate trust in AI reasoning — correctness is machine-checkable.
- → Ten open problems solved at scale demonstrates capabilities on genuine hard problems, not benchmarks.
- → First model through U.S. pre-release review sets precedent for AI governance.
AI proves the unprovable