# 📐  L2 Spec — Heston Stochastic Volatility Calibration — Nominal + Mismatch Specs

**ID:** `L2-439-001` · **Status:** ⊙ Testnet (genesis catalog)
**Parents:** ⬆ Principle [`L1-439`](/artifact/l1/L1-439)

> **🎯 Tolerance (ε):** expression
> **⚖ Difficulty score:** 0.4 · **Delta tier:** 5
> **⛓ On-chain block:** 41555262

---

## 1. Domain Ω

**Type:** `range`

| Parameter | Unit | Range |
|---|---|---|
| N strikes | — | 5 – 50 |
| N maturities | — | 3 – 30 |
| Data noise bp | — | 10 – 200 |
| Max maturity yr | — | 0.5 – 5.0 |

## 2. Tolerance (ε)

**Type:** `fn`

```
40 + 20 * (data_noise_bp / 30) ** 0.5
```

## 3. Difficulty

| Property | Value |
|---|---|
| Difficulty score | 0.4 |
| Delta tier | 5 |

## 4. Fingerprint

`cc617f70dd809b86c19950d7e7a8bc6a5ee27ae3449c02c7cd5f524ddbccf58a`

## 5. On-chain Registration

- **Chain hash:** `0xbdb0f67467aea6f27a92f8a5503ccb5a99612154ed3263f6ee9dc2727af1f193`
- **Chain tx hash:** `0xe79602ca7c2c34257b2a674ef6aa16effdbc9bf617afde673705fae2e5951c21`
- **Chain block:** `41555262`

---

## File Mapping

This bundle consists of: `L2-439-001.md`, `L2-439-001.json`.

| File | Role | How to regenerate |
|------|------|-------------------|
| `L2-439-001.md` | Source of truth — edit this | Human or LLM |
| `L2-439-001.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 `L2-439-001`._
_Edit it, regenerate the JSON, and submit at [/submit](/submit) to claim the artifact._