class threads sounds like category theory, class and category are very adjacent to each other as concepts. the elliptic curves are a coordinate space that is populated by using hashes of the data, using deterministic, lossless compression algorithms, to eliminate redundancy and highlight the distinctions, which then can become new facts, populate new types, categories and grammars. elliptic curves are most well known for the discrete log probllem, which makes reversing a traversal able to conceal the path backwards, enabling ECDH and pubkey derivation, to the point where it's practically impossible to crack them, without using side channels, or otherwise breaching the actual location where the secret is stored, which could be impossible in the case of a fanatical or determined attacker being interrogated. i'm not sure so much that topology is involved, except in as far as adjacent concepts are closer together by hamming distance with the right proximity hash being used, it's more of a coding theory thing, i think.

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I’ve known about category theory and elliptic curves but I’ve never studied either one in depth. Or known they were connected. And I’ve never heard of the discrete log problem. I will need to do a deep dive. But check this out: For web of trust to succeed, it must first be paired with the universal language of mathematics