OpenAI Shares Astra Proofs for Ten Math Advances
Internal Astra model produces Lean-certified proofs for ten open problems across math and theoretical computer science.
OpenAI researcher SĂ©bastien 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 ErdĆs unit-distance conjecture in May.
yes, nonsofic groups exist: this statement is one of many new beautiful results proved by Astra, our next major model. We're releasing 10 such Astra proofs, complete with lean certificates and CoT walkthroughs for each of them. The results are wide-ranging, from von NeumannâŠ
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Greg Brockman@gdbten significant advances in mathematics and theoretical computer science. solved using an internal version of Astra, our next major model, for a total cost of about $2000 at Sol API prices:
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YB Yu Bai@yubai01My jaw dropped 10 times đ But really this is going to be an avalanche. Been throwing a few open questions of mine at Astra too, boy is it strong.
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JP Jason Phang@zhanshengMy team works on some really cool stuff!
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HW Hongxun Wu@HongxunWu- likes: 36
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