Anthropic Says Claude Refuted the Exponential Time Hypothesis, and Shipped a Lean Proof to Check

Anthropic's repository says an internal Claude model found a subexponential algorithm for 3-SAT and shipped a Lean proof that rebuilds in eight minutes, and its own README admits that no machine checks that the short statement file matches the paper. That question of who checks the checkable thing runs through the rest of the day, from a self-hosted coding model at Revolut to four conference talks on verification.

• Anthropic's formal-math repository, ETH folder holds the paper, the Lean 4 formalization, the 2^O(n log log n / √log n) counting bound, and the README's statement-fidelity caveat.
• The PrimeTime's explainer is our secondhand route to OpenAI's parallel claim, and it leans on cryptography implications the Anthropic README does not support.
• Axiom Math on the Classification of Finite Simple Groups describes a roughly 43-million-line Lean formalization built by agents in 24 days, the nearest data point on machine-checked proof.
• Google's Gemini 4 Carbon announcement is the source for the index rank, cyber benchmark figures, pricing, and the staged rollout, all self-reported.
• The Verge on Gemini 4 Carbon reports the index ranking relative to Claude Opus 5.5 and GPT-6 Astra.
• The r/Anthropic post carries the Fable 5.5 speculation, which is a poster's guess and not reporting.
• Revolut's AI Engineer talk gives self-reported numbers on running a GLM model on 56 B200 GPUs for about 2,000 engineers.
• Two Minute Papers on DeepSeek v4.1 Flash separates price per token from price per task.
• The Indian Express report carries the headline claim that DeepSeek and Moonshot used GPT-6 Astra to train their latest models; only the headline was available to us.
• The Claude Code teardown gist measures background-agent summary calls at 16.4 percent of spend by the author's own telemetry.
• Sonar and Anthropic on software factories is the source for 30,000 daily merges and the light-versus-dark factory split.
• Temporal's survey of 554 engineers has the 80.8 percent daily use versus 49.1 percent in production gap.
• Qodo on code review argues for independent reviewer agents and a graph of cross-repository reach.
• Sonar's Hunter Agent demo targets logic-level vulnerabilities that static analysis misses.
• Fireship's week-in-finance rundown relays the neocloud debt mechanism, CoreWeave figures, and Musk's prediction.
• The Wall Street Journal on Nvidia and Meta reports a $3 billion Nvidia investment in Meta's equity offering, known to us through TLDR's summary.
• Nate B Jones on Anthropic's S-1 reads under-one-percent enterprise spend as headroom.
• Anthropic's drug-development post lists six partners, early preclinical results, and the Mithril Medicine acquisition.
• The AI Daily Brief covers reaction to the Mithril deal and OpenAI's handling of verification for its science results.
• The Verge on xAI in Southaven relays The Guardian's report of home buyouts conditioned on not joining a lawsuit.
• The Verge's feature on Arizona's water looks at the TSMC fabs and the desert.
• Epoch AI's chip imports explorer estimates AI compute arrivals by country since 2022.
• OpenAI's API credits demo describes monthly API credits bundled with ChatGPT Pro and Business.
• OpenAI and ServiceNow expand their partnership across enterprise workflows.
• Latent Space with the Supabase founders covers Compute, OrioleDB, MultiGres, and the Turso acquisition.
• Qwenputer describes a deterministic RISC-V CPU compiled into Qwen3.5's weights.