# 📐  L2 Spec — Tight-Binding Electronic Structure Mismatch-Only Spec

**ID:** `L2-318-001` · **Status:** ⊙ Testnet (genesis catalog)
**Parents:** ⬆ Principle [`L1-318`](/artifact/l1/L1-318)

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

---

## 1. Domain Ω

**Type:** `range`

| Parameter | Unit | Range |
|---|---|---|
| N atoms | — | 1 – 1000 |
| N kpoints | — | 10 – 10000 |
| N orbitals | — | 4 – 200 |
| N neighbor shells | — | 1 – 10 |

## 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

`41d97744a48dc9d0fb057e3d478cae605a7a4efbd55795bc2adb9dead928b71f`

## 5. On-chain Registration

- **Chain hash:** `0x3febfd9d53a6ead3786005ddda495248dab1474fd374859aa82b956d32a1ac15`
- **Chain tx hash:** `0xba0a8c6150ba3a56f34baa68328c584c3b45f4c82d23c3dfd75ff41938d4d511`
- **Chain block:** `41554083`

---

## File Mapping

This bundle consists of: `L2-318-001.md`, `L2-318-001.json`.

| File | Role | How to regenerate |
|------|------|-------------------|
| `L2-318-001.md` | Source of truth — edit this | Human or LLM |
| `L2-318-001.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 `L2-318-001`._
_Edit it, regenerate the JSON, and submit at [/submit](/submit) to claim the artifact._