# 📐  L2 Spec — Hull-White Interest Rate Model Calibration — Nominal + Mismatch Specs

**ID:** `L2-440-001` · **Status:** ⊙ Testnet (genesis catalog)
**Parents:** ⬆ Principle [`L1-440`](/artifact/l1/L1-440)

> **🎯 Tolerance (ε):** expression
> **⚖ Difficulty score:** 0.38 · **Delta tier:** 5
> **⛓ On-chain block:** 41555262

---

## 1. Domain Ω

**Type:** `range`

| Parameter | Unit | Range |
|---|---|---|
| N tenors | — | 3 – 30 |
| Vol noise bp | — | 1 – 50 |
| A mean reversion | — | 0.01 – 0.5 |
| N swaption expiries | — | 3 – 20 |

## 2. Tolerance (ε)

**Type:** `fn`

```
5 + 3 * (vol_noise_bp / 5) ** 0.5
```

## 3. Difficulty

| Property | Value |
|---|---|
| Difficulty score | 0.38 |
| Delta tier | 5 |

## 4. Fingerprint

`569fb6a2268e2da3a2b635568118b6646c3727e966f09cafb48bf39af1ce5c6c`

## 5. On-chain Registration

- **Chain hash:** `0xc13c7de8168c05449e0223a39d7a342027209f3c6fa220130b9d6c546cfb7c72`
- **Chain tx hash:** `0x8cf0e204650b74d569d28a24e3f97069e2ba9a36d60b404a21b37b20d8a58769`
- **Chain block:** `41555262`

---

## File Mapping

This bundle consists of: `L2-440-001.md`, `L2-440-001.json`.

| File | Role | How to regenerate |
|------|------|-------------------|
| `L2-440-001.md` | Source of truth — edit this | Human or LLM |
| `L2-440-001.json` | Structured metadata for the registry | LLM regenerates from the sections above |

**Prompt for your LLM after editing this Markdown:**

> Read the attached Markdown. Regenerate the sibling `.json` so every field matches.
> Preserve the schema documented in the rows above.
> Output each file in its own fenced code block tagged with the filename.
> Output only the JSON object.

_This Markdown was auto-synthesized from the catalog row for `L2-440-001`._
_Edit it, regenerate the JSON, and submit at [/submit](/submit) to claim the artifact._