Today’s headlines tied quantum-era preparedness and account recovery innovation to broader technology shifts as crypto projects moved to strengthen post-quantum security and Ethereum developers proposed ways to reduce dependence on seed phrases, while breakthroughs in artificial intelligence captured attention across the industry.
AI milestone: Anthropic’s Claude and a verified mathematical proof
Anthropic announced that its Claude system produced a fully computer-verified proof of Fermat’s Last Theorem, writing 13 million lines of code in 11 days. Dozens of agents worked in parallel and proved more than 30,000 auxiliary theorems as part of the effort. Mathematician Kevin Buzzard confirmed the proof’s validity based solely on the axioms of mathematics, according to the announcement.
Nvidia, OpenAI and the AGI debate
Nvidia’s CEO stated on X that general artificial intelligence has arrived following the release of OpenAI’s GPT-6 Astra model, which OpenAI trained using over 100,000 Nvidia systems. OpenAI has not itself characterized the model as AGI. Nvidia also reported $89 billion in AI computer sales last quarter, more than double the previous year’s figure.
Ethereum proposal aims to remove seed-phrase dependence
Vitalik Buterin published an updated EIP-8141 proposal for the Hegotá upgrade, which would decouple accounts from their initial key and enable account recovery without a 12-word seed phrase. The proposal also introduces “frame transactions,” allowing up to 64 actions in a single transaction with an all-or-nothing guarantee. Hegotá is expected to follow the Glamsterdam upgrade, which is scheduled for the fourth quarter of 2026. Briefly, a seed phrase is a human-readable backup used to recover private keys to blockchain accounts.
Projects and experiments targeting the quantum threat
Multiple efforts are advancing quantum-resilient tools. The QuFi Network launched a quantum-resistant verification platform built on existing blockchain infrastructure and said it adheres to NIST ML-DSA-65, SLH-DSA, and ML-KEM-1024 standards. As a proof of concept, QuFi introduced uBTC on Bitcoin Testnet4 to verify collateral in Bitcoin. The approach echoes experiments by StarkWare in August on mainnet that also aimed to add cryptographic capabilities without requiring a fork.
Cardano co-founder warns Bitcoin may be vulnerable without upgrades
Cardano co-founder Charles Hoskinson warned that Bitcoin could lose its top spot if its governance cannot coordinate an upgrade to address the quantum threat, describing the network as “frozen in time.” He contrasted Bitcoin’s perceived inflexibility with Cardano’s on-chain governance system and called Cardano Bitcoin’s “spiritual successor.”
Bitcoin performance and long-term holding
A historical analysis covering 2010-2026 found that Bitcoin’s annual returns are driven by a small number of days. Analyst Andre Dragosch noted that without the five best days of 2026, Bitcoin would be at -36% for the year instead of -9%. The analysis also reported a steady decline in average volatility, the best daily moves are now typically 9-12% versus 294% in 2010, and that the probability of a loss after a three-year holding period falls below 1%.
The day in brief
The items covered today show simultaneous movement on multiple fronts: practical preparations for quantum risks in crypto infrastructure, proposals to make Ethereum accounts less reliant on seed phrases, and industry debate over governance and upgradeability for major networks. At the same time, developments in artificial intelligence, from a claimed machine-verified proof to high-profile statements about AGI, underscore the growing overlap between AI advances and the crypto ecosystem.
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