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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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12 changes: 12 additions & 0 deletions 13.md
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Original file line number Diff line number Diff line change
Expand Up @@ -39,6 +39,18 @@ 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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thesimplekid marked this conversation as resolved.

Wallets are able to generate private keys in a deterministic way to have proofs locked to them.

The following BIP32 derivation path for derivation of the key: `m/129373'/10'/0'/0'/{counter}`:

- 129373': Purpose picked for P2PK derivation.
- 10': Account 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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thesimplekid marked this conversation as resolved.

This will allow wallets to swap proof that are still locked to a public key during a restore process.

@robwoodgate robwoodgate Jul 9, 2026

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Suggested change
In line with BIP-32, if the resulting private key is out of range (`> N`), it should be discarded.

### 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/129373'/10'/0'/0'/0": "021693d45f4fdf610ae641fedb0944fb460fbb8264f21c19d2626c3da755fcbbcb",
"m/129373'/10'/0'/0'/1": "0395461ab678058c0ed6aa39f38dda490eaa163e9ad27070b23ec3d06b41e07535",
"m/129373'/10'/0'/0'/2": "02a05e4e593a633e9b4405f01c9632c8afde24cb613017a1aee56fd76291ad26d1",
"m/129373'/10'/0'/0'/3": "033addea25c3873b93d67d536c61c9d9c993f6efd8b9dfa657951b66b5001e51dd",
"m/129373'/10'/0'/0'/4": "03c964bdf42fc82b6c574615746eeca37527a24f1fdfc1b34a732c53843b5744a5"
}
```
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