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ye0man merged 5 commits into from
Jul 30, 2026
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Deterministic pay to public key generation #331

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2ce332e
pay to public key standard derivation
lescuer97 Jan 19, 2026
75fa183
fix: wording
lescuer97 Jan 21, 2026
04cce64
use correct purpose and tests
lescuer97 Mar 27, 2026
c1ca8a1
Update 13.md
robwoodgate Jul 10, 2026
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Update 13.md
ye0man Jul 30, 2026
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10 changes: 10 additions & 0 deletions 13.md
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Original file line number Diff line number Diff line change
Expand Up @@ -39,6 +39,16 @@ The HMAC-SHA256 KDF is built as the following:
2. `hmac_digest = HMAC_SHA256(seed, message)`, where `HMAC_SHA256` is the [hash-based message authentication code](https://en.wikipedia.org/wiki/HMAC) using SHA-256 as the hashing algorithm.
3. `secret = hmac_digest` and `blinding_factor = hmac_digest % N`.

#### P2PK Derivation
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Wallet are able to generate private keys to then have proofs be locked to them.

The following path is used for derivation of those keys: `m/129372'/10'/0'/0'/{counter}`:
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- 129372': Registered SLIP-0044 coin type for Cashu.
- 10': Purpose for generating private keys for usage in P2PK.
- {counter}: Incrementing counter encoded as an unsigned 64-bit integer in big-endian format.
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### Code Examples

#### Versioned Secret Derivation
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22 changes: 22 additions & 0 deletions tests/13-tests.md
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Expand Up @@ -91,3 +91,25 @@ The corresponding blinding factors `r` are:
"r_4": "5550337312d223ba62e3f75cfe2ab70477b046d98e3e71804eade3956c7b98cf"
}
```

## P2PK Derivation

Using [NUT-13](13.md) derivation procedure for P2PK, we derive values starting from the following BIP39 mnemonic:

```json
{
"mnemonic": "half depart obvious quality work element tank gorilla view sugar picture humble"
}
```

The public keys derived for the first five counters from `counter=0` to `counter=4` are:

```json
{
"m/129372'/10'/0'/0'/0": "03381fbf0996b81d49c35bae17a70d71db9a9e802b1af5c2516fc90381f4741e06",
"m/129372'/10'/0'/0'/1": "039bbb7a9cd234da13a113cdd8e037a25c66bbf3a77139d652786a1d7e9d73e600",
"m/129372'/10'/0'/0'/2": "02ffd52ed54761750d75b67342544cc8da8a0994f84c46d546e0ab574dd3651a29",
"m/129372'/10'/0'/0'/3": "02751ab780960ff177c2300e440fddc0850238a78782a1cab7b0ae03c41978d92d",
"m/129372'/10'/0'/0'/4": "0391a9ba1c3caf39ca0536d44419a6ceeda922ee61aa651a72a60171499c02b423"
}
```