**Tristan Buckmaster has not filed suit against OpenAI as of early October 2026, keeping market-implied odds low at roughly 18-21% for resolution by year-end.** The September dispute centers on Buckmaster and Anthropic mathematician Levent Alpöge’s AI-assisted progress on Navier-Stokes equations using OpenAI’s Codex for drafts; OpenAI then announced a parallel internal model result on a similar technical route after rumors surfaced. Buckmaster publicly alleged pressure from researcher Sébastien Bubeck to exclude the Anthropic co-author from authorship, implicit career threats, and unresolved questions about whether private Codex inputs entered training data—claims OpenAI and CEO Sam Altman rejected as unfounded while defending the team’s integrity. Competitive tensions between frontier labs and external researchers, plus high legal thresholds for defamation or misappropriation claims in AI research, appear to limit near-term litigation risk absent new evidence or filings. No upcoming regulatory deadlines or confirmed next steps have shifted sentiment.