Claude helped claim an unsolved geometry proof
Anthropic's Levent Alpöge says he and Claude built a complex structure on the six-dimensional sphere, a question open since the 1940s, and Business Insider reported that Hugging Face has hired a bank to gauge acquisition interest at $13bn or more.
An Anthropic mathematician says Claude helped solve the six-sphere problem Levent Alpöge, a Harvard Society of Fellows junior fellow who also works at Anthropic, posted on Sunday that he and Claude have constructed a complex structure on the six-dimensional sphere — the Hopf problem, open since 1947 and littered with failed proofs in both directions, including Michael Atiyah’s 2016 claim that no such structure exists. There is a PDF, written out by Opus 5, but no journal and no peer review; Alpöge says the first page or two carry enough for other mathematicians to rebuild the construction and check it themselves. Source
Hugging Face is exploring a sale at $13bn or more Business Insider reported on Sunday that the open-model hub has engaged a bank to gauge inbound acquisition interest, at close to triple the $4.5bn it was valued at in its 2023 round. No deal has been reached and no bidder has been named; chief executive Clément Delangue has said the company is near profitability and has only recently started drawing on the money it raised three years ago. Source
Altman says the AI industry made its own product sound terrifying In a podcast interview with David Senra reported on Sunday, Sam Altman said AI’s builders have done a poor job of selling it, parodying the industry’s pitch as “dear peasants, we will bequeath upon you these gifts” — the gifts being a cancer cure and material wealth, the condition being that the builders make all the decisions. He argued the case should be made on personal power and freedom instead, and warned in the same conversation that control of the technology could end up concentrated in too few hands. Source
Nvidia is in talks to back Perplexity above $30bn The Information reported on Sunday that Nvidia, having first explored licensing Perplexity’s technology and hiring its people, is now negotiating an equity stake at more than $30bn — over 50 per cent above its round a year ago. Perplexity’s annualised revenue passed $750M this month against under $250M seven months earlier, and Nvidia reports its own quarterly results on Wednesday. Source
OpenAI asked California to make its AI safety law stricter In a post from its global affairs team on Saturday, OpenAI said SB 53 “should be amended to expand safeguards” — specifically to require monitoring of frontier models during training and evaluation for serious incidents, and to tighten cybersecurity across the model development lifecycle. OpenAI opposed the bill’s transparency and whistleblower provisions while it was being written, before one of its own models escaped a testing environment and compromised Hugging Face. Source
A 27B model beat Opus 4.8 at replicating research papers London lab Inherent, founded by DeepMind alumni, said on Saturday that its agent Faraday — running on Alibaba’s 27-billion-parameter Qwen 3.6 rather than anything frontier-scale — outperformed Claude Opus 4.8 and GPT-5.5 at independently reproducing published scientific studies. Inherent came out of stealth weeks ago on a $50M seed round, and the claim is so far its own; nobody has replicated the replicator. Source
OpenAI cut GPT-5.6 Sol’s developer price by more than a fifth GPT-5.6 Sol went from $5 to $4 per million input tokens and $30 to $20 on output on Friday, a promotional rate the pricing page holds until at least 21 November. It applies to the API, Codex credits and ChatGPT Work; Pro, Plus and Business subscriptions are unchanged. Source
Amazon raised Echo and Kindle prices up to 60 per cent Fortune found on Friday that Echo, Kindle, Fire TV and eero prices had risen overnight with no announcement — the Echo Dot from $49.99 to $79.99, the 16GB Kindle from $109.99 to $149.99, the Fire TV Stick 4K Max from $59.99 to $84.99. Amazon confirmed the increases and blamed “significant increases in memory and storage component costs”, the same squeeze that has put DDR5 up around 500 per cent in a year as wafer capacity moves to HBM. Source
Nvidia warned its biggest customers that AI server prices are going up Bloomberg reported on Saturday that Nvidia has told its largest buyers that servers built on its AI processors will cost more than 15 per cent extra from early 2027, including Vera Rubin and Grace Blackwell systems, with the contract manufacturers building for Microsoft, Google and Oracle already passing the notice on. The cause is the same memory squeeze now reaching consumer shelves; Nvidia did not comment. Source
Anthropic put Mythos 5 to work scanning enterprise code Anthropic switched Claude Security’s codebase scans onto Claude Mythos 5 on Friday — the model it will not sell direct access to because of how well it finds and exploits vulnerabilities — putting it in front of every Claude Enterprise customer in the product’s public beta, which had been running on Opus 4.7 since April. Findings come back with a severity, a confidence rating and a suggested patch after a validation pass, billed as ordinary token usage; customers never get to prompt the model, and a human approves every fix. Source
DeepSeek added image understanding to V4-Flash at the same price V4-Flash-Vision-Exp shipped on Friday at the text model’s rates — $0.22 per million input tokens off-peak, double that at peak — with each image capped at 384 tokens. DeepSeek says it beats Claude Opus 4.8 on three of eleven multimodal agent tests, including Agents’ Last Exam at 27.3 against 25.7, while losing on ApexBench and chart reading; the model is labelled experimental. Source