# 📐  L2 Spec — Cardiac Electrophysiology (Monodomain) — Nominal + Mismatch Specs

**ID:** `L2-399-001` · **Status:** ⊙ Testnet (genesis catalog)
**Parents:** ⬆ Principle [`L1-399`](/artifact/l1/L1-399)

> **🎯 Tolerance (ε):** expression
> **⚖ Difficulty score:** 0.42 · **Delta tier:** 5
> **⛓ On-chain block:** 41555220

---

## 1. Domain Ω

**Type:** `range`

| Parameter | Unit | Range |
|---|---|---|
| N mesh nodes | — | 1000 – 100000 |
| Noise snr db | dB | 10 – 60 |
| N electrodes bsp | — | 32 – 512 |
| Heart torso distance mm | mm | 20 – 100 |

## 2. Tolerance (ε)

**Type:** `fn`

```
3 + 2 * (30 / noise_SNR_dB) ** 0.5
```

## 3. Difficulty

| Property | Value |
|---|---|
| Difficulty score | 0.42 |
| Delta tier | 5 |

## 4. Fingerprint

`864bbb1f1f8f91dbd622d43d19b55165574bb9ce827d1169c943b24754df5a84`

## 5. On-chain Registration

- **Chain hash:** `0xe256cccf223706247ad359ad0adb09a4bc23c4c2299edd3a0ad88661b278ea47`
- **Chain tx hash:** `0xc894bad5530fa2c482da57c80a0a3c30d81c62be5624d12ad5a25325f1ce5bd6`
- **Chain block:** `41555220`

---

## File Mapping

This bundle consists of: `L2-399-001.md`, `L2-399-001.json`.

| File | Role | How to regenerate |
|------|------|-------------------|
| `L2-399-001.md` | Source of truth — edit this | Human or LLM |
| `L2-399-001.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 `L2-399-001`._
_Edit it, regenerate the JSON, and submit at [/submit](/submit) to claim the artifact._