Ex-OpenAI researcher calls Navier-Stokes proof first successful Recursive Self-Improvement

sama · x · 2026-09-09

Former OpenAI researcher Trapit Bansal argued the agent-produced Navier-Stokes proof marks the first successful Recursive Self-Improvement (RSI): models get better at math, mathematicians use them on hard problems, generating rare high-value training tokens that further improve the models — a loop he expects to spread from math to every domain.

OpenAI also addressed data concerns: neither the researchers nor the agents accessed the mathematicians' work before public release, and no specific user data was used; though de-identified usage data can't be fully ruled out, and the proofs differ significantly, including different precise results in the Euler case.

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