# 📐  L2 Spec — Lattice QCD Path Integral — Nominal + Mismatch Specs

**ID:** `L2-480-001` · **Status:** ⊙ Testnet (genesis catalog)
**Parents:** ⬆ Principle [`L1-480`](/artifact/l1/L1-480)

> **🎯 Tolerance (ε):** expression
> **⚖ Difficulty score:** 0.6 · **Delta tier:** 5
> **⛓ On-chain block:** 41555304

---

## 1. Domain Ω

**Type:** `range`

| Parameter | Unit | Range |
|---|---|---|
| N configs | — | 100 – 10000 |
| N l spatial | — | 8 – 64 |
| N t temporal | — | 16 – 128 |
| Beta coupling | — | 5.5 – 7.0 |

## 2. Tolerance (ε)

**Type:** `fn`

```
2 + 3 * (N_L_spatial / 32) ** (-1)
```

## 3. Difficulty

| Property | Value |
|---|---|
| Difficulty score | 0.6 |
| Delta tier | 5 |

## 4. Fingerprint

`b8a3fe1babe86fba94467efbf2ee54711be348170a430bfd4bc1d215f09e2f1d`

## 5. On-chain Registration

- **Chain hash:** `0x91392f73dc52f2952ac9c9187188d3ecd343ae4ae0a9263b64fbfe4f1e448d65`
- **Chain tx hash:** `0x524afa23be6c5d141278de134384d9b6465747fa5b4ec9ef527c9bdbbb5460aa`
- **Chain block:** `41555304`

---

## File Mapping

This bundle consists of: `L2-480-001.md`, `L2-480-001.json`.

| File | Role | How to regenerate |
|------|------|-------------------|
| `L2-480-001.md` | Source of truth — edit this | Human or LLM |
| `L2-480-001.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 `L2-480-001`._
_Edit it, regenerate the JSON, and submit at [/submit](/submit) to claim the artifact._