# 📐  L2 Spec — Electronic Band Structure Mismatch-Only Spec

**ID:** `L2-316-001` · **Status:** ⊙ Testnet (genesis catalog)
**Parents:** ⬆ Principle [`L1-316`](/artifact/l1/L1-316)

> **🎯 Tolerance (ε):** expression
> **⚖ Difficulty score:** 0.45 · **Delta tier:** 5
> **⛓ On-chain block:** 41554083

---

## 1. Domain Ω

**Type:** `range`

| Parameter | Unit | Range |
|---|---|---|
| Xc | — | LDA, PBE, HSE06 |
| Ecut ev | — | 100 – 2000 |
| N atoms | — | 1 – 100 |
| N kpoints | — | 10 – 10000 |

## 2. Tolerance (ε)

**Type:** `fn`

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

## 3. Difficulty

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

## 4. Fingerprint

`9f65f84444460d45a66e8800cf95619443668a0b03b54f0d095ada7a97eff844`

## 5. On-chain Registration

- **Chain hash:** `0xb93d2eef834b47a28c4179912c28539c0136ddfe0b2f72dd235aab175f91e452`
- **Chain tx hash:** `0x9a26159c9b0c2c0f78588c1bc21afe92bb16b5c6334183582f852d8381491f50`
- **Chain block:** `41554083`

---

## File Mapping

This bundle consists of: `L2-316-001.md`, `L2-316-001.json`.

| File | Role | How to regenerate |
|------|------|-------------------|
| `L2-316-001.md` | Source of truth — edit this | Human or LLM |
| `L2-316-001.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 `L2-316-001`._
_Edit it, regenerate the JSON, and submit at [/submit](/submit) to claim the artifact._