# 📐  L2 Spec — Metropolis Monte Carlo Mismatch-Only Spec

**ID:** `L2-310-001` · **Status:** ⊙ Testnet (genesis catalog)
**Parents:** ⬆ Principle [`L1-310`](/artifact/l1/L1-310)

> **🎯 Tolerance (ε):** expression
> **⚖ Difficulty score:** 0.45 · **Delta tier:** 5
> **⛓ On-chain block:** 41554119

---

## 1. Domain Ω

**Type:** `range`

| Parameter | Unit | Range |
|---|---|---|
| T k | — | 1 – 10000 |
| N sweeps | — | 10000 – 10000000000.0 |
| Ensemble | — | NVT, NPT, GCMC, Gibbs |
| N particles | — | 10 – 10000000.0 |

## 2. Tolerance (ε)

**Type:** `fn`

```
0.02 * (1 + 0.1 * mismatch_severity)
```

## 3. Difficulty

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

## 4. Fingerprint

`3f5bf082d129e16ad7a942499ed58c87a79758609bdb280cd452a6a14f1aafb0`

## 5. On-chain Registration

- **Chain hash:** `0x0c29cf68bc5547003c812033aaea02cc880aaa56076c5a83c693322f443f5a42`
- **Chain tx hash:** `0x58931244c85f3df0882494b054d18ea184dc00542620dfb47da3dd04ddb9ee73`
- **Chain block:** `41554119`

---

## File Mapping

This bundle consists of: `L2-310-001.md`, `L2-310-001.json`.

| File | Role | How to regenerate |
|------|------|-------------------|
| `L2-310-001.md` | Source of truth — edit this | Human or LLM |
| `L2-310-001.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 `L2-310-001`._
_Edit it, regenerate the JSON, and submit at [/submit](/submit) to claim the artifact._