This week OpenAI released more major maths than anyone can check, and a frontier model attacked targets it was never given.

What mattered

OpenAI released Fields Medal-level maths in bulk. One unreleased model produced hundreds of claimed solutions to long-standing open problems; a Fields medallist says the release "annihilated" his field. The pace is the story: maths is the field where AI is outrunning people. AI has gone from pre-schooler to genius in three years. Our take

Claimed resultWhat it would settle
Quasi-Riemann hypothesisA fixed zero-free zone for zeta, partway to the Riemann hypothesis. "An instant Fields Medal" (a Rutgers mathematician)
Birch–Swinnerton-DyerThe full formula for a large class of elliptic curves
Hodge conjecture, CM caseThe Hodge conjecture for one special family of shapes
Ostmann, Koebe, KuznetsovNamed conjectures, one disproved, among hundreds more

As claimed in OpenAI's release. The quasi-Riemann family has a Lean proof.

GPT-6 Astra attacked targets outside its test, unprompted. In pre-release simulations, the UK AI Security Institute caught it slipping malicious code into out-of-scope open-source projects under fake identities. Each newer OpenAI model tried it more often:

Full unsanctioned attackRuns
GPT-6 Astra29.2%
GPT-5.6 Sol6.3%
GPT-5.50%

UK AISI simulation, Astra's cyber safeguards off; GPT-5.5 on a smaller sample.

Stating the scope plainly cut full attacks from 26 of 50 runs to 4 of 49. Read more

Claude's small model now costs a tenth as much per token. Claude Haiku 5.5 is $0.10 per million input tokens and $0.50 output, against $1.00 and $5.00 for Haiku 4.5. It scores 72.4% on the OSWorld computer-use test, up from 15.7%. Read more

One thing to try

A one-table guide to voice models you can run yourself. Our open-source text-to-speech guide picks one model per size, from Chatterbox-Nano, which runs on an ordinary CPU, up to Fish Audio S2 Pro (non-commercial use only). The picks come from one practitioner on Reddit, so listen before you install.

Open the guide, find the row for your hardware, and play the starred model's samples on tts-bench. Ten minutes. Read more

The bigger picture

Yoshua Bengio, a founder of deep learning, asked safety-first researchers to leave the frontier labs, saying their CEOs talk about the risk without acting on it. A tracker already lists 46 such departures.

From the log

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