Science & Math

Claude formalized Fermat's Last Theorem in 11 days

The Frontier

Claude formalized Fermat's Last Theorem in 11 days

Anthropic says a team of Claude agents produced the first complete, machine-checked formalization of Fermat’s Last Theorem — and Kevin Buzzard, the Imperial College London mathematician who has spent years on the same problem, has already compiled the result and confirmed it checks out. Also today: React’s compiler has gone Rust-native, and one real codebase got most of its build time back. Claude just closed the last open problem on formal mathematics' most famous benchmark list.

AI 101 — Local LLMs vs cloud APIs: what's the difference?

The Stack

AI 101 — Local LLMs vs cloud APIs: what's the difference?

A local LLM is an AI model that runs on hardware you own — the actual math happens on your laptop, phone, or server. A cloud API is the same kind of model running on someone else's machines, which you reach over the internet and pay for by the token. Same technology, two very different deals about privacy, cost, and control. Why the question is live right now For most of the last three years, "using AI" meant calling an API.

Physical Superintelligence raises $58M after its AI plotted a star route

The Frontier

Physical Superintelligence raises $58M after its AI plotted a star route

A physics lab staffed by virtual physicists came out of stealth with $58 million, a new world model put cameras back in the director's hands, and a startup that tunes open models for a company's own traffic closed a $40 million Series A. Physical Superintelligence (PSI) launched on September 1 with $58 million in seed funding led by Breakthrough Energy Ventures, and its first public result is an interstellar one: the trajectory for the Fermi Explorer Mission, a nonprofit probe that aims to…

China's AI ethics reviews reach city level — and a space AI model just trained itself in orbit

The Guardrails

China's AI ethics reviews reach city level — and a space AI model just trained itself in orbit

Two stories today about what happens after the model is built: Beijing is wiring ethical review into how Chinese cities actually deploy AI, while one of its aerospace institutes has proved a neural network can keep learning on a satellite, 500 kilometers up. China's industry ministry says it is now organizing artificial intelligence ethics review and service pilots across multiple cities, the most concrete sign yet that the country's April rulebook for AI governance is moving from paper to…

Accelerated Understanding launches a physics foundation model

The Frontier

Accelerated Understanding launches a physics foundation model

AI's frontier-pushing crowd spent the week cleaving to language and agentic models — but one of the field's better-known researchers used Tuesday to bet on a different kind of foundation model: one that predicts how the physical world changes, not how the world talks. Caltech professor Anima Anandkumar, a former Nvidia machine-learning research director, unveiled a startup and a model aimed squarely at enterprise engineering, promising a single system for chip design, weather, and…

AI 101 — What is a learned kernel?

The Frontier

AI 101 — What is a learned kernel?

A learned kernel is the low-level math software that runs on a GPU and was designed — or tuned by trial and error — by an AI program, rather than hand-written by a human engineer. When a large language model does its math, it doesn't just "think" in a clean way: every layer boils down to enormous matrix multiplications that must be executed millions of times per second. On Nvidia GPUs those operations are performed by special routines called kernels.

Quick Hits — August 22, 2026

Quick Hits

Quick Hits — August 22, 2026

Three notes from the AI ecosystem: a space robot brain going open-source, a clever trick for cheaper long-context inference, and a vibe-coded app that keeps finding fans. SpaceClaw ("Space Lobster"): the first open-source space embodied-intelligence project. Three companies — group-intelligence world-model firm UltraBrain, commercial spaceflight outfit Future Aerospace, and flexible-arm maker Xiyun Robotics — unveiled SpaceClaw at this week's World Robot Conference, aiming to land a real…