# 📐  L2 Spec — Electron-Phonon Coupling and Eliashberg Theory Mismatch-Only Spec

**ID:** `L2-325-001` · **Status:** ⊙ Testnet (genesis catalog)
**Parents:** ⬆ Principle [`L1-325`](/artifact/l1/L1-325)

> **🎯 Tolerance (ε):** expression
> **⚖ Difficulty score:** 0.45 · **Delta tier:** 5
> **⛓ On-chain block:** 41554084

---

## 1. Domain Ω

**Type:** `range`

| Parameter | Unit | Range |
|---|---|---|
| N bands | bands | 5 – 200 |
| Mu star | — | 0.05 – 0.3 |
| N kpoints | — | 8 – 1000 |
| N qpoints | — | 4 – 256 |

## 2. Tolerance (ε)

**Type:** `fn`

```
0.05 * (1 + 0.1 * mismatch_severity)
```

## 3. Difficulty

| Property | Value |
|---|---|
| Difficulty score | 0.45 |
| Delta tier | 5 |

## 4. Fingerprint

`90cf28fd4ba14818f2779ab90d988801d80e0197c2e44d17187cb9a28cebd307`

## 5. On-chain Registration

- **Chain hash:** `0xabd2f963397e5cd5303c2969af00d1a3229935038d470a455fe66d60fa9dfd36`
- **Chain tx hash:** `0x1c4f08852fe68ecaee9e9c0dbbfcd3c2b21b1db45049a02ed0bd8b8d516972bb`
- **Chain block:** `41554084`

---

## File Mapping

This bundle consists of: `L2-325-001.md`, `L2-325-001.json`.

| File | Role | How to regenerate |
|------|------|-------------------|
| `L2-325-001.md` | Source of truth — edit this | Human or LLM |
| `L2-325-001.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 `L2-325-001`._
_Edit it, regenerate the JSON, and submit at [/submit](/submit) to claim the artifact._