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One interesting thing between the OpenAI vs. Anthropic proofs of ETH is that the OpenAI proof is way more TCS-y and constructs simple polynomial decompositions. In some sense it gives you more "comfort" that classical CS methods like analysis of boolean functions are still correct / useful / the right way of viewing the world
But the Anthropic proof is substantially more mathematically elegant because it uses a physics-like Clifford algebraic expansion to get a natural recursion â and this recursion involves simple partition numbers that gives you the bound. The idea that a bosonic system whose band gaps are exactly the partition numbers is a "fundamental" object in theoretical CS is fucking insane to me
It sort of is kind of crazy these proofs are so different yet both are actually useful for getting intuition into the vagaries of SAT
Making some progress on simplifying the '#ETH false' proof, I think. In latest version, the key algebraic construction comes from elementary analysis of Boolean functions.
cs.cmu.edu/~odonnell/some_etâŠ
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"Atom as an Agent: Emergent Order by Collective Predictive Coding"
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push just one and it becomes someone else
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We are announcing three new discoveries in mathematics, computer science, and physics about harmonic analysis, complexity theory, and quantum field theory.
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we're 26 years into Mac OS X, and apparently this is the first time it occurred to anyone that a root cert might require certificate revocation?
Apple has confirmed they are working on a software update for macOS to patch security issues related to the compromised eMudhra intermediate CAs
"Apple is making further changes to block these certificates in other places on Mac where software checks certificates, such as the command-line tools included with macOS or the Xcode Command Line Tools that use /etc/ssl/cert.pem. These changes will be available in a future software update, and you won't need to edit any files to get them."
kaxaqula viwoju retweeted
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kaxaqula viwoju retweeted
ãªãã®éç¥æ¥ãªããå€ãããŠè¿ä¿¡ã§ããªãããããèªãã§ View article
kaxaqula viwoju retweeted
In the days of COVID, our physical connectivity became a threat. Now, in the age of coding agents, the threat comes from our digital connectivity. Physical or digital, hyperconnectivity may be our civilizationâs greatest vulnerability.
kaxaqula viwoju retweeted
Honestly crazy Apple hasnât patched this yet
PSA for macOS users:
1. Appleâs supplied SSL certificate bundle at /etc/ssl/cert.pem still trusts certificates attackers can forge using compromised eMudhra keys.
2. I confirmed this on macOS 26.7.1 and 27.0.1 using Appleâs built-in curl and Git.
3. An attacker intercepting connections from tools using this bundle could replace downloads with malware. With commands like curl ⊠| sh, that malware would execute immediately.
4. Removing the roots that authorize those certificates blocks the tested chains. Both OS updates restored roots Iâd previously removed, requiring me to remove them again.
4. Iâve submitted the findings to Appleâs security team and am awaiting their response. In the meantime, you can apply a temporary fix as outlined below.
5. To check and fix your machine, give an agent like ChatGPT/Codex or Claude Code the following prompt:
âIndependently verify whether Appleâs /etc/ssl/cert.pem still permits trust in certificates signed with compromised eMudhra keys. If so, back it up and remove the roots enabling that trust, identified by verified SPKI fingerprints. Confirm Appleâs built-in curl and Git reject those chains while ordinary HTTPS still works. Preserve rollback and never disable TLS verification.â
Note that removing these roots can also block legitimate sites. This is a temporary mitigation, not a substitute for a fix from Apple.
Iâll share the script I used in a follow-up post if youâd prefer to use that directly.
kaxaqula viwoju retweeted
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Evolving threat ðš CVE-2026-111497, previously known to affect Node.js (node2shell) and Python has evolved into âHTTP2Shell.â
A significant blast radius.
This vulnerability leaves many libraries and applications using HTTP vulnerable to pre-auth RCE via Brotli decompression.
Please be aware. Fixes not yet available for all affected services. Look for Brotli (1.2.1) dependency upgrades when they become available.
kaxaqula viwoju retweeted
patchtheplanet.org/brotli
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