the week in AI, briefly. then briefly again.
Artificial Intelligence — briefly, then briefly again · tbb.ceo
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/daily ·13 AUG 2026 ·THURSDAY ·1 MIN READ ·6 STORIES

Math and model races

An AI solved a three-decade math conjecture, Grok matched the frontier, and Wall Street discovered a word for its SaaS anxiety.

01 / The Day

THURSDAY 13 AUG 2026, ranked

06

Neurosurgery resident solves Crouzeix's conjecture with GPT-5.6

A neurosurgery resident — not a professional mathematician — used GPT-5.6 to close a 32-year-old open problem in functional analysis. The conjecture, proposed by Michel Crouzeix in 1994, concerns the numerical range of matrices. The proof was subsequently verified by academic mathematicians.

Grok 4.6 matches OpenAI's best, undercuts on price

xAI released Grok 4.6, which benchmarks at or above GPT-5 on standard evals while pricing API access roughly 40% lower. xAI is not claiming a breakthrough — just parity at a discount.

Researchers near-perfectly reverse-engineer LLM system prompts

A new technique allows near-complete reconstruction of proprietary system prompts from black-box LLM outputs. The method works by analysing token probabilities across carefully crafted probe inputs, raising questions about how well confidential instructions can be protected.

Taiwan officially confirms AI-assisted cyberattack

Taiwan's government formally attributed a recent infrastructure cyberattack to AI-augmented intrusion tools, marking one of the first official confirmations that AI was used in a state-linked offensive operation.

SaaSpocalypse: Wall Street fears AI kills the SaaS model

Analysts are coining terms for the scenario where AI agents replace per-seat SaaS subscriptions. Several major SaaS stocks are down double digits this month as enterprise buyers signal intent to reduce software seats in favour of agent-based workflows.

Cognition in talks at $40B valuation

Cognition, the startup behind the Devin software-engineering agent, is reportedly in discussions with investors at a $40 billion valuation — roughly 8x its last round 14 months ago.

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