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I used to be thinking about what number of attainable combos of BIP 32 derivation paths exist, which might end in a public key derived from a seed. Whereas some folks colloquially name it “limitless,” I do not assume that is technically true.
I imagine the mathematics then is (2^32)^255 which is 2^8160 distinctive paths.
Whereas the variety of attainable public keys is way smaller at solely 2^256.
Due to this fact, it appears affordable to conclude that every seed, utilizing some unknown derivation, can produce each single attainable public key (many instances over, with collisions).
Clearly this is not a sensible concern, however it could be fascinating from a trivia perspective. Can somebody verify or level out a flaw in my logic? Thanks!
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