Re: All existing bitcoins can be in your wallet (where is my mind?)

Quote from: pooya87 on June 14, 2024, 02:57:17 AM

So what exactly is your question here?

Just curiosity

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Seed is different from "seed phrase". Seed is the entropy entered into a KDF to derive a "tree of keys". Seed phrase is a set of words that represent that seed.
Bitcoin core still doesn't use any seed phrases (BIP39, etc.) algorithm.

Yes, I'm aware of that. Seed is actually a hexadecimal combination whereas BIP39 takes this set and encodes them in word/mnemonic form.

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The universe would end before you can generate that many keys.

Yes, that reminds me how incredible this topic about entropy is, so many things are possible with encryption algorithms.[/quote]

Quote from: Forsyth Jones on June 13, 2024, 11:40:35 PM

I know it is possible for two xpriv to generate the same addresses

See this example, I gen a wallet for testing:
BIP39 example mnemonic:

Code:

enemy sport sock wink gentle tooth expose damage tube opera trash ball

This is the bip32 root key:

Code:

xprv9s21ZrQH143K2fVBZn1X9FGXH8WYN2Kb6i4dohJiKBTJ9iAhK83bcfhB5HXEKE9PuNzQbPcYMFHfn62yH1DUNudBdxPgNRnS1w4yuUH2pvc

I will use the BIP84 derivation path for this example, the same applies to the standard BIP39 derivation paths, this bip32 root key generates this set of addresses in BIP84:

In Account Extended Private Key we have an xpriv that specifically derives this same set of addresses, but at the account level:

Account Extended Private Key:

Code:

zprvAe77Vi8i8ATMyvWQ29w7T42ZgWvfXBUwviQMyp493WSjgKjcESdEnLE5LLR5UQg4GfjfYzMBZszFLjpeUYdGANjGRQqsv8B2FwpfewJt9KP

Same Account Extended Private Key in a Legacy Format:

Code:

xprv9zSatNnspoNQHL8AMSMs2sqZLadmdwVx6VMvR2GNHVgya879j8J7YCuoHvVuUbNDTPW443A4eZH9aAbX39oEZuN4gjT2kJY3iVhNsjp1ygu

I took this Account Extended Private Key and put it in the BIP32 Root Key field, I changed to the BIP141 tab and selected the P2WPKH type for the bech32 addresses, it resulted in the same set of addresses as that BIP32 root key:

What I get is that the BIP32 root key is for an entire set of addresses in a standard wallet, while the Account Extended Private Key is for the account level.

Two xprivs are capable of generating the same set of addresses, thanks to mathematics and cryptography.