# 📐  L2 Spec — Implied Volatility Surface Construction — Nominal + Mismatch Specs

**ID:** `L2-442-001` · **Status:** ⊙ Testnet (genesis catalog)
**Parents:** ⬆ Principle [`L1-442`](/artifact/l1/L1-442)

> **🎯 Tolerance (ε):** expression
> **⚖ Difficulty score:** 0.3 · **Delta tier:** 5
> **⛓ On-chain block:** 41555262

---

## 1. Domain Ω

**Type:** `range`

| Parameter | Unit | Range |
|---|---|---|
| N maturities | — | 2 – 30 |
| Data noise bp | — | 5 – 200 |
| Max maturity yr | — | 0.1 – 10.0 |
| N strikes per slice | — | 3 – 50 |

## 2. Tolerance (ε)

**Type:** `fn`

```
10 + 10 * (data_noise_bp / 20) ** 0.5
```

## 3. Difficulty

| Property | Value |
|---|---|
| Difficulty score | 0.3 |
| Delta tier | 5 |

## 4. Fingerprint

`931910d563fb12ce3733b5e62101c719b4249283e890618a0af18cf19beb9d88`

## 5. On-chain Registration

- **Chain hash:** `0x4114f952363d499473b88019b59167eee8bf712f837f940f851be258a86306cf`
- **Chain tx hash:** `0x4c96789695536d7fe68100bc23e7bf0e32838fcbd303be180c75458baf288317`
- **Chain block:** `41555262`

---

## File Mapping

This bundle consists of: `L2-442-001.md`, `L2-442-001.json`.

| File | Role | How to regenerate |
|------|------|-------------------|
| `L2-442-001.md` | Source of truth — edit this | Human or LLM |
| `L2-442-001.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 `L2-442-001`._
_Edit it, regenerate the JSON, and submit at [/submit](/submit) to claim the artifact._