mathematics
Claude raised the zeta critical-line bound to 67.2 percent, and Anthropic published the proof News
An unreleased research version of Claude raised the proven lower bound on the fraction of Riemann zeta zeros lying on the critical line from 41.6 percent to 67.2 percent, and Anthropic published the paper and a machine-checked Lean proof on August 10.
An AI tightened a 70-year-old constant, and the paper says its judgment was the weak part News
A case study from seven researchers documents how an AI system helped tighten the best known bounds on the Grothendieck constant, and reports plainly that the system was strong at technical execution but weak at research judgment and at tracking where the work stood.
The viral Riemann result an AI supposedly proved is not in the literature News
A widely shared claim that Claude raised the proven fraction of Riemann zeta zeros on the critical line from 41.6 to 67.2 percent does not match any published result; the closest paper says the two-thirds figure follows only if an assumption nobody has removed can be removed.
Three Days On, Nobody Has Publicly Compiled OpenAI's Ten Proofs News
OpenAI's repository of Lean proofs for ten mathematics results has 434 stars and 39 forks but exactly one commit, no pull requests, and no issues, and no third party has published a build log showing the proofs check.
The non-sofic group is the one OpenAI claim a computer can check News
Chapter 3 of OpenAI's new manuscript claims to have constructed a non-sofic group, settling a long-open question, and ships roughly 34,000 lines of Lean code with no unproved placeholders so outsiders can verify it.
OpenAI publishes ten mathematics claims with Lean proofs and no named authors News
OpenAI released ten claimed advances in mathematics and theoretical computer science today, produced by an unreleased internal model it calls Astra, with a 249-page manuscript collection and machine-checkable proofs for every result.
Terence Tao says the bottleneck in AI-assisted mathematics is understanding, not proofs News
In an ICM public lecture, Terence Tao argues that AI and formal proof systems accelerate generating and verifying proofs but not explaining, reviewing or canonicalizing them, so correct results could pile up faster than the field can absorb them.
A newly minted Fields medalist says he is joining OpenAI's safety division News
Jacob Tsimerman, awarded a 2026 Fields Medal on July 23, told journalists the same day that he will soon start a position in OpenAI's safety division, according to AFP.
AI Helped Crack a Famous Math Conjecture, and Humans Verified It in Lean News
Mathematicians found an explicit counterexample disproving the Jacobian conjecture in three dimensions, checked partly with an AI chatbot and formalized in a Lean proof, while two other viral AI-math claims remain unverified.
AI is now solving hard math and physics problems faster than humans can formally check them News
A widening 'verification lag' is emerging as AI produces candidate solutions to hard problems faster than experts can formally verify them - physicist Yuji Tachikawa reports Fable cracked a six-month research blocker, while a GPT-5.6 Erdos claim circulates without peer review.
Terence Tao brought his 1999 Java applets back to life with an AI agent -- and it found bugs he never knew about News
Fields Medalist Terence Tao used an AI coding agent to port about two dozen of his 1999 Java math applets to JavaScript in hours, reporting that the agent found two pre-existing bugs he was unaware of while introducing only one minor bug of its own.
Mistral releases a lean, open model built for formal math proofs News
Leanstral 1.5 is a free, open model specialized for writing machine-checked mathematical proofs, using a design that keeps only a small slice of itself active at a time.
Leanstral 1.5 Tool
A free, open mixture-of-experts model specialized for writing machine-checked Lean 4 proofs and translating ordinary math into formal, verifiable form.
Lean comparator Tool
The Lean toolchain component used to independently check the formalization behind Anthropic's zeta-function result. Useful to anyone who wants machine-verified mathematics rather than a persuasive argument.
Formal Conjectures Tool
Google DeepMind's open Lean library of formally stated open mathematical conjectures, now the venue where the claimed Jacobian conjecture counterexample is being reviewed in public. A usable resource if you want machine-checkable statements of open problems rather than prose.