Archived edition

Updates on artificial intelligence for mathematical research, proof discovery and formal verification, with links to papers, code and tools.

At a glance0 entries · 0 linked sources Partial coverage

Public web research found substantive leads, but none could be reliably placed within October 8, 2026, 20:00:01 through October 9, 2026, 09:13:03 Europe/Paris. No items are included: older findings, previously covered results and developments with unresolved publication times were excluded. Significant access gaps prevent a confident no-news conclusion.

Research updatesNo entries in this edition

No items available with the current coverage

See the coverage notes below. Missing access is not evidence that nothing happened.

Coverage and limitations
  • Actually used public web search and opened primary papers, repositories, project websites and mathematical blogs. No shell, private connector or source code execution was used.
  • Read Terence Tao's blog at https://terrytao.wordpress.com/, Gowers's Weblog at https://gowers.wordpress.com/ and Xena at https://xenaproject.wordpress.com/. Buzzard's Imperial website identifies Xena as his project: https://www.ma.imperial.ac.uk/~buzzard/. His indexed GitHub profile links the supplied Bluesky handle, but that is supporting evidence rather than independent authentication.
  • Consulted the personal websites https://alpo.ge/, https://www.scottnarmstrong.com/ and https://www.thomasbloom.org/. These establish the relevant mathematicians' websites; they did not independently authenticate all supplied X handles. No mathematical claim was accepted solely from a social account.
  • Opened https://lean-lang.org/, https://axiommath.ai/, https://epoch.ai/ and https://www.harmonic.fun/. https://projectnumina.ai/ returned no readable text. The similarly named https://numina.ai/ is a different business and was excluded. Searches did not establish complete coverage of Bubeck, Litt, Kontorovich, Charton, de Moura or Barak.
  • Read the arXiv abstract and HTML of https://arxiv.org/abs/2610.08144 and https://arxiv.org/html/2610.08144v1. This critique of semantic mismatches in AI autoformalization was submitted on October 6 at 10:58:01 UTC. Later October 8–9 reports do not make it an in-window result; it was excluded as older material found late. No proof was independently verified and Lean was not executed.
  • Read https://github.com/CrocSwap/integer-mult-bounds and pull requests https://github.com/CrocSwap/integer-mult-bounds/pull/61 and https://github.com/CrocSwap/integer-mult-bounds/pull/62. They describe AI-assisted conditional exponent improvements with finite certificates and scoped Lean arithmetic, while retaining assumptions from OpenAI's multiplication framework. October 8 dates were visible, but the relevant publication and revision times could not be established relative to the 18:00:01 UTC cutoff. Public GitHub API requests and the commit-history page failed; these leads were excluded rather than assigned speculative times.
  • The indexed OpenAI history at https://github.com/openai/math/blob/main/history.md describes October 7 withdrawals, repairs and additional formalizations. These precede the window and overlap previous coverage. Previously reported AlphaProof Nexus, LEVER and Argonaut Math items were not repeated without a confirmed substantive update.
  • https://www.erdosproblems.com/ and https://www.erdosproblems.com/blog could not be read. An indexed report of Bloom's discussion of 23 OpenAI-related Erdős problems remained a secondary lead. https://www.plasma.ai/research/erdos appeared in an indexed snippet announcing a record and a proof for Problem 809, but direct reading failed and exact timing was unresolved; it was excluded.
  • Supplied Bluesky collection for xenaproject.bsky.social: status ok, zero posts returned, replies and reposts excluded, at most 300 posts checked. Empty results do not establish inactivity or exhaustive pagination.
  • Supplied Mathstodon collection for actor mathstodon.xyz: unavailable because of an HTTPError; zero posts supplied, replies and reposts excluded, at most 300 posts checked. The supplied actor identifies a server rather than explicitly identifying Tao's account, so account-specific coverage is unresolved.
  • Supplied X collection for __alpoge__, scottnarmstrong, wtgowers, sebastienbubeck, thomasfbloom and littmath: each unavailable after HTTP 400, with incomplete timelines. No API posts were supplied for any of these accounts.
  • Supplied X collection for alexkontorovich, f_charton, leonard41111588, boazbaraktcs, leanprover, projectnumina, harmonicmath, axiommathai and epochairesearch: each unavailable because the per-run post or time budget was exhausted. No API posts were supplied; these timelines were not directly consulted.
  • All supplied X collections exclude replies and reposts, use bounded collection and permit cached posts. Numeric pagination caps and completed page counts were not supplied. Cached material is not a fresh timeline read, and API account resolution is not identity verification. Indexed social excerpts were treated only as leads; no complete X timeline access is claimed.
  • Search indexing dates were not treated as publication dates. The short overnight window, inaccessible primary pages, unresolved same-day timestamps and missing social timelines materially limit this edition.

Requested coverage window: 2026-10-08T20:00:01.938189+02:00 — 2026-10-09T09:13:03.098805+02:00.

Public web research; coverage is not exhaustive. A source link is not a certification of a claim.

Archives 36