An internal version of our next major model produced 10 new results on long-standing open problems in mathematics and theoretical computer science, using roughly $2,000 worth of tokens at GPT-5.6 Sol API rates.↗

An internal version of Astra, our next major model, found new results across 10 long-standing open problems in math and theoretical computer science. The total token cost to find all 10 solutions? Roughly $2,000 at Sol API rates. Astra then formalized each argument in Lean. …↗