OpenAI says an internal general-purpose reasoning model has disproved the Erdős unit distance conjecture, a central problem in discrete geometry posed in 1946 (OpenAI)
Google says it is testing new ad formats in search results and AI Mode, including Conversational Discovery ads, Highlighted Answers, and AI-powered Shopping ads (Anu Adegbola/Search Engine Land)
Spotify launches a "Verified by Spotify" badge for podcasts to help "authenticate creator identity", after releasing it for music in April (Lawrence Bonk/Engadget)
Seagate shares drop 9%+, leading a group-wide sell-off after comments from its CEO raised concerns it won't be able to meet demand fueled by the AI buildout (CJ Haddad/CNBC)
Cursor releases Composer 2.5, saying it's better at sustained work on long-running tasks and follows complex instructions more reliably; it's built on Kimi K2.5 (Cursor)
Source: Shein is acquiring DTC clothing retailer Everlane, which focuses on sustainability and "radical transparency", in a $100M deal (Lauren Sherman/Puck)
Analysis: 34 leading AI startups are generating ~$80B in annualized revenue, up 112% from six months ago, with Anthropic and OpenAI capturing 89% of the revenue (The Information)
Grafana says hackers have accessed its GitHub environment and demanded a ransom to prevent the release of its codebase; Grafana refused to pay (The Hacker News)
Analysis: mass adoption of smartphones and social media may be a primary driver of declining birthrates globally, in part by reducing in-person socializing (John Burn-Murdoch/Financial Times)
Vietnam's government, which once saw video games as a social risk, named gaming as one of its key cultural industries in 2025 and now promotes them at expos (Bloomberg)
Hill County, which faced eight new data centers, passed what may be Texas' first county-wide ban on them, for one year; the state trails only VA in data centers (Mike Lee/Politico)
ASML will partner with Tata Electronics to help it bring an $11B 300mm chip factory online in Gujarat, expanding India's ability to produce chips domestically (Bloomberg)
OpenAI's disavowal of a liability shield in Illinois SB 3444 bill and endorsement of a stronger SB 315 suggest it is open to meaningful AI safety legislation (Transformer)
OpenAI memo: Greg Brockman says he will lead product strategy as part of a reorg, folding ChatGPT, Codex, and developer-facing API into one core product team (Maxwell Zeff/Wired)
Ford stock jumped as much as 25% in two days after the launch of Ford Energy, a new subsidiary providing battery storage capacity to AI data centers (Christian Davies/Financial Times)