We’re releasing a broad range of new mathematical results produced by an internal frontier model.
We’ve been consulting with the independent Advisory Group on Mathematics and Artificial Intelligence at the Institute for Advanced Study, and we have drawn on their advice and public recommendations to inform how we release these results.
https://t.co/7N6TPlft1P
arXiv has updated our policy on rate limiting for all submitters.
This update was made to fairly distribute moderator time & support the arXiv community of staff, volunteers, readers & authors.
Please read our announcement to learn more: https://t.co/lvzWuiv0hx
Earlier this month, I participated in a two-day workshop at the Simons Institute on how the TCS community should adapt to rapid advances in AI. Our report, AI and TCS: The Next Six Months, is now out:
https://t.co/XX4bs7U962
The Ultimate Top 500 Open Problems in Mathematics
https://t.co/ArIV77LJ9r
Weeks of work by 4 LLM families (GPT 6, Fable 5.1, GLM-5.3, DeepSeek V4 Pro). 34,890 pairwise judgments across 1,227 candidate problems. They ran repeated discovery rounds, source checks, deduplication, and clarification of exact problem statements. Models compared problems using source-backed descriptions without seeing the existing rankings or other models' judgments.
The comparisons considered the significance of a resolution, centrality to the field, connections across disciplines, scholarly and public recognition, and potential scientific or practical impact. Results were statistically combined and checked for ranking uncertainty and sensitivity to individual model families. Includes theoretical computer science, and mathematical physics.
The list includes plain-language explanations, sources, notes on what remains open, and links to related research where available.
Where the targets of recent AI results would rank if they were still open:
#21 — Smooth-forced Navier–Stokes breakdown (Fefferman C).
#32 — Unforced three-dimensional Euler blowup.
#92 — The Jacobian conjecture in general dimension.
#167 — Whether every group is sofic.
#211 — The planar unit-distance conjecture.
Note that the recently announced Navier–Stokes result concerns flow driven by a smooth external force. #4 entry is unforced three-dimensional Navier–Stokes global regularity (Fefferman's statement A), which remains open. Showing that a forced flow can develop a singularity does not settle whether singularities can arise without external forcing.
Today we introduce Open Math Model: open models and tools for mathematics.
Built for everyday research, shaped by the mathematical community, and developed in the open.
Read our co-founder Terence Tao’s blog:
https://t.co/PqLQqUoUXk