Unsolved Problem by Fields Medalist Breached by Two High School Students
Two high school students used Claude Opus 5 and GPT-5.6 Sol to help solve an open Lorentzian polynomials problem, posting a 75-page arXiv proof.
Aayush Bathija and Prince Rohatgi of Oak Park High School, mentored by UCLA postdoc Daniel Soskin, published the 75-page paper 'Bounded Ratios for Lorentzian Polynomials' (arXiv 2609.05341), solving an open problem in Fields Medalist June Huh's Lorentzian polynomial theory. The main structural theorem extends bounded coefficient-ratio characterization from quadratic to arbitrary-degree polynomials via discrete convexity conditions. The students used Claude Opus 5 and GPT-5.6 Sol for exploration and proof ideas but independently verified all arguments; the result follows an open letter from 25 Fields Medalists voicing concerns about AI's impact on mathematical rigor.
ENISA: Frontier AI Is Changing the Speed of Cyberattacks. Europe Needs to Catch Up
ENISA warns frontier AI compresses attack lifecycles to minutes, with exploits possible within 15 minutes of disclosure and median 72-minute breach-to-exfiltration times.
ENISA's July 2026 paper 'ENISA's view on Cybersecurity in the Frontier AI Era' argues AI-assisted attackers may weaponize vulnerabilities within 15 minutes of disclosure and achieve initial-access-to-data-exfiltration in a median 72 minutes, creating a 'negative time-to-exploit' problem. The report cites one organisation whose CVE volume rose from roughly 80 in Q1 2025 to almost 500 in Q1 2026, then about 500 reports per day when frontier-AI tools were used. ENISA recommends machine-speed defence under 'Cybersecurity as Code', EPSS and VEX-based prioritisation, AI-assisted incident response with human oversight, and an assume-breached architecture.
AI will not fix a governance problem in your camera estate
Hikvision EMEA security director argues camera estates need governance, recovery controls, and secure-by-default settings rather than AI fixes.
Rob Janssens, EMEA Cyber Security Director at Hikvision Europe, discusses securing surveillance camera estates whose lifecycles outlive their installers, leaving lost documentation and admin credentials. He advocates secure-by-default settings such as mandatory password activation, login-failure monitoring, IP filtering, and controlled SSH access, and argues customers should be able to recover control without the original integrator. He distinguishes secure-by-design from secure-by-default, recommends VPNs and network segmentation over disabling controls, and weighs European requirements like source code escrow and country-of-origin rules.
How well do agents use test/verification techniques?
Dan Luu's eval finds coding-agent testing instructions (TDD, formal methods, PBT, skills) mostly fail to beat defaults on Zstd implementation correctness.
The author ran 26 prompt conditions plus 4 skills on a Zstd-in-Rust implementation eval using codex with GPT-5.6, testing TDD, fuzzing, property-based testing, formal methods (Lean 4, TLA+, Verus, Kani, SMT solvers) and community skills. Nothing dramatically outperformed the default no-instruction condition, which did above average; at xhigh effort, fuzzing and PBT conditions did slightly better than formal methods. Pre-registered predictions included TDD underperforming and popular test skills (ECC, Hegel, Trail of Bits) not outperforming. Results are averages of 80 runs per condition plotted against cost.