# 📐 L2 Spec — Ideal MHD — magnetohydrodynamics infinite-conductivity limit Mismatch-Only Spec
**ID:** `L2-342-001` · **Status:** ⊙ Testnet (genesis catalog)
**Parents:** ⬆ Principle [`L1-342`](/artifact/l1/L1-342)
> **🎯 Tolerance (ε):** expression
> **⚖ Difficulty score:** 0.48 · **Delta tier:** 5
> **⛓ On-chain block:** 41554085
---
## 1. Domain Ω
**Type:** `range`
| Parameter | Unit | Range |
|---|---|---|
| H | px | 32 – 2048 |
| W | px | 32 – 2048 |
| Z | — | 16 – 1024 |
| Snr db | dB | 0 – 40 |
| N times | — | 50 – 100000 |
| Bc error | — | 0.0 – 0.2 |
| Rho error | — | 0.0 – 0.2 |
| B field error | — | 0.0 – 0.1 |
| Temperature error | — | 0.0 – 0.2 |
## 2. Tolerance (ε)
**Type:** `fn`
```
15.0 + 0.3*SNR_dB - 30.0*B_field_error - 15.0*rho_error - 15.0*temperature_error - 8.0*bc_error
```
## 3. Difficulty
| Property | Value |
|---|---|
| Difficulty score | 0.48 |
| Delta tier | 5 |
## 4. Fingerprint
`046f0e876d56f7d3fed1b5512b5e8692e747c5646082504f3c338934bd199bd1`
## 5. On-chain Registration
- **Chain hash:** `0xdc20b8cb473547dce12f7b88c619b0522482a3e14a1077b42f0da2c88e9abd4f`
- **Chain tx hash:** `0xcaa4cdd5deedfc9199b093c5a5e2238cd7888abd96aaffad8f4b6a0214cf9cc7`
- **Chain block:** `41554085`
---
## File Mapping
This bundle consists of: `L2-342-001.md`, `L2-342-001.json`.
| File | Role | How to regenerate |
|------|------|-------------------|
| `L2-342-001.md` | Source of truth — edit this | Human or LLM |
| `L2-342-001.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 `L2-342-001`._
_Edit it, regenerate the JSON, and submit at [/submit](/submit) to claim the artifact._