Terence Tao on "the end of heroes" and the end of mathematics' romantic era... The full 20 minutes in on Numberphile...

Today I call upon the blockchain industry to calmly begin planning for "bunker mode". My personal recommendation is to set in motion a controlled mass migration of assets to fresh addresses, i.e. addresses whose pubkeys remain hidden behind a hash. Holders, starting with large and sophisticated ones, should consider moving the bulk of their funds to addresses that have never signed a transaction. And when they do sign one, they should also move remaining funds to a new address (possibly generated from the same seed phrase). Don't rush. While I believe there is cause for action a rushed migration would do more harm than good. Don't panic either. Moving assets to protected addresses is a simple, preventative step which does not require new cryptography or new wallets. IMO it is now reasonable to brace for the possibility that ECDSA breaks before qday, in the worst case in months not years. By "break" I mean fast private key recovery (e.g. in one week) on available hardware (e.g. a large GPU cluster). Recent days have been humbling for human mathematical intuition. Long-held, unquestioned hypotheses have fallen. This includes the n log(n) bound for integer multiplication and the 3SUM conjecture. In hindsight, May's unexpected disproof of the Erdős unit distance conjecture was our warning shot. Yesterday's OpenAI drop made it clear that mathematical superintelligence is upon us. They say there are weeks where decades happen. We are about to live through weeks where centuries of mathematical progress happen. Could our magic 64-byte ECDSA signatures be too good to be true? Was it just security through obscurity all this time? Elliptic curves feel especially vulnerable to superintelligence. Curves carry rich structure, with room for fancy tricks like Schoof, Frobenius, pairings. (By contrast, hashes are designed to minimise algebraic structure.) Separately, as Ewin Tang can attest, an efficient quantum algorithm sometimes foreshadows an efficient classical one. We should be open to the possibility of a classical counterpart to Shor that breaks elliptic curves and RSA at once. Also noteworthy is the striking under-representation of cryptographic breakthroughs among the 722 mathematical results OpenAI published. I've witnessed first-hand the US government censoring academic quantum cryptanalysis results. Backroom interventionism is my base case. I urge large, sophisticated actors to lead by example. Project11's "risq list" (bitcoin-risq-list.projecteleven[.]com) is a great tracker of exposed BTC pubkeys. Binance, Bitbank, Robinhood, Bitfinex, and Tether have an opportunity to harden their cold storage. Next month I'll address institutions in London in a live Q&A (forum.ethereuminstitutional[.]org/london-2026). Again, please do not rush. Wallets holding under 50 BTC enjoy partial cover from "Satoshi's shield", i.e. his 20K exposed addresses that hold 50 BTC each. Load-bearing signers like oracles and L2 security councils should consider rotating ECDSA pubkeys with every signed message and/or multi-signing with a hash-based schemes like SPHINCS. Exiting bunker mode safely will require post-AI cryptography. My inclination is to go all-in on hash-based cryptography and avoid structured mathematical assumptions entirely, whether from curves, lattices, or isogenies. A single battle-tested hash (e.g. from the SHA or BLAKE families) yields plausible post-AI security. The Ethereum roadmap on strawmap[.]org fully embraces hash-based cryptography with end-to-end formal verification as a response to the quantum threat. Those timelines must now be revisited and accelerated in light of mathematical superintelligence. I'll be pushing for maximum defensive acceleration.

The Claude Startups program is expanding to more founders. Members can get a year of Claude Team, API credits, special offers on the tools a startup runs on, and office hours with Anthropic’s Applied AI team.

For individual Daybreak Blue users, starting tomorrow (10/1), you'll need an eligible hardware key when using cyber-forward capabilities. Enterprise users are unaffected. Hardware keys are a needed protection to help guarantee that you are behind the account and part of our strategy to disproportionately accelerate defenders.

市场上各种各样的年化理财策略，都不如胡老师这个比特币本位策略。做一个简单的数学计算，现在 BTC 106K，按照年化 8% 计算，20 年后 BTC 的价格是 494K，也就是不到 50 万美金。 任何将比特币提取出主网进行质押理财的操作，本质上就是通过售卖主网提供的安全性来换取收益，前提是你认为收益能够覆盖安全损失。大部分人还是无法接受比特币“波动”带来的心理压力，而宁愿选择法币理财提供的年化收益，即使法币计价单位是不断贬值的。 其实问题等价于：你相信比特币能够在 20 年后到达 50 万美金吗？为了每年多 5-10% 的收益而冒着归零的风险值得吗？你是愿意将大部分时间花在生活上，还是每天焦虑资产是否被盗？

@Muse 自带 VM 的配置：CPU 2 Cores AMD EPYC 9D25，x86_64，RAM 7.7 GB，Disk 100 GB，你可以让 Muse 在这台机器安装任何应用，包括写代码。所有的浏览器操作都在虚拟机内执行，访问网站需要的密码通过 secure credentials store 单独保存。 我觉得 Muse 应该是市面上最好的 AI 助理，其实就是基于 OpenClaw 做的产品，但是它完全解决了 OpenClaw 的缺点。首先，你不需要单独准备一台机器跑 Muse，因为云端 VM 提供了执行环境，也能和你的电脑安全隔离；其次， Muse 智力在线，反应极快，即使是操作虚拟机内浏览器也非常顺畅。免费的 token 足够日常使用了，不用惦记额度不够。最后，和 ChatGPT / Claude Code 等 Chat / Work / Code 隔离的形态完全不一样，在 Muse 里这些都是 Chat，这本来也是 OpenClaw 的形态。另外，各类主流应用都可以通过 connector 对接。 我现在已经把一些低风险的账号完全交给 Muse 管理了，比如图书馆找书借书、市政体育活动报名、各类账单收集等，这些工作既繁琐又消耗精力，最适合 AI 了。

@Muse 自带 VM 的配置：CPU 2 Cores AMD EPYC 9D25，x86_64，RAM 7.7 GB，Disk 100 GB，你可以让 Muse 在这台机器安装任何应用，包括写代码。所有的浏览器操作都在虚拟机内执行，访问网站需要的密码通过 secure credentials store 单独保存。 我觉得 Muse 应该是市面上最好的 AI 助理，其实就是基于 OpenClaw 做的产品，但是它完全解决了 OpenClaw 的缺点。首先，你不需要单独准备一台机器跑 Muse，因为云端 VM 提供了执行环境，也能和你的电脑安全隔离；其次， Muse 智力在线，反应极快，即使是操作虚拟机内浏览器也非常顺畅。免费的 token 足够日常使用了，不用惦记额度不够。最后，和 ChatGPT / Claude Code 等 Chat / Work / Code 隔离的形态完全不一样，在 Muse 里这些都是 Chat，这本来也是 OpenClaw 的形态。另外，各类主流应用都可以通过 connector 对接。 我现在已经把一些低风险的账号完全交给 Muse 管理了，比如图书馆找书借书、市政体育活动报名、各类账单收集等，这些工作既繁琐又消耗精力，最适合 AI 了。