The Navier-Stokes controversy and why zero data retention matters
Tristan Buckmaster (NYU) and Levent Alpöge (a researcher at Anthropic) spent almost a year working in secret on the fluid equations related to the Navier-Stokes Millennium Prize problem. They used AI models as research assistants and fed their unpublished drafts to OpenAI’s Codex to formalize their proofs in Lean. On September 8, after rumors on X that Anthropic had solved two Millennium problems, OpenAI announced that its internal model had proven Navier-Stokes blowup in an 88-hour run with around 10,000 agents. That was twelve hours after Buckmaster published his statement saying their progress had been passed to OpenAI, and that the OpenAI proof followed the same research path they had been pursuing. OpenAI first said it “cannot rule out that de-identified data derived from their usage of our products helped improve our models”. After an investigation it said his recent Codex prompts “could not have influenced the system in any way”.
I am not going to judge the credit dispute. The part that affects everyone is the privacy one. Buckmaster used a consumer-facing product with the training opt-out settings disabled, but his data still existed on OpenAI’s servers, kept for abuse monitoring (up to 30 days by default). The opt-out is a promise about future use. Zero data retention is the technical guarantee that your data is not kept at all. With a Zero Data Retention (ZDR) API agreement, prompts and outputs are not stored after processing and are not accessible to provider personnel, so there is nothing to leak, nothing to sweep into a training pipeline, and nothing to review when your data becomes interesting. Both Anthropic and OpenAI offer ZDR, but not by default: you have to request it, and some features are incompatible with it.
My take: most companies should simply ban the usage of non-ZDR AI APIs for anything sensitive. A privacy policy did not protect Buckmaster, and it will not protect your code either. The only control that works is not leaving the data on the provider’s servers in the first place: no ZDR, no access to company data. It is also the reason I chose Ollama Cloud for my own agent, Hermes. It connects to Ollama Cloud through their API with zero data retention, so my prompts and my data are not kept on their servers after each request. Local LLMs are not there yet for my daily work, so while that changes, this is the way I get capable models without giving up my data.
References: Buckmaster’s statement, the Wikipedia article on the priority controversy, Anthropic’s ZDR documentation, OpenAI’s ZDR announcement.













