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Wrote up my thoughts on the whole OpenAI Navier–Stokes Millennium Prize Problem story, and how it highlights the still confusing question of what using my data "to improve model performance" actually means simonwillison.net/2026/Sep/8/o...

Some details - though we don't know the exact cost, an openai employee has confirmed that it cost "millions of dollars": xcancel.com/polynoamial/...

OpenAI consistently claims (and I have no reason to doubt) that they thought that 1) it was Anthropic doing it rather than mathematicians, and 2) that it was solved rather than a promising in-progress research. That's presumably how they justified to themselves their attempt to scoop the result.