Tristan Buckmaster’s public allegations against OpenAI over disputed Navier-Stokes research form the core driver of trader sentiment on any potential lawsuit. The NYU mathematician and Anthropic collaborator Levent Alpöge claim their year-long work on fluid-dynamics proofs, including drafts stored in private Codex sessions, reached OpenAI researchers shortly before the lab announced a parallel breakthrough using intensive compute on a similar technical route. Buckmaster alleges pressure to exclude the Anthropic employee from authorship and implicit career threats during calls with Sébastien Bubeck, raising questions about data leakage into training sets and academic credit in AI-assisted math. OpenAI and CEO Sam Altman have defended the team’s integrity while the episode highlights competitive tensions between labs and external researchers. As of mid-October 2026, no filing has occurred, with Buckmaster instead emphasizing publication of related results and cautioning researchers on tool usage.