# 📐  L2 Spec — Cosmological N-body (Large-Scale Structure) — Nominal + Mismatch Specs

**ID:** `L2-365-001` · **Status:** ⊙ Testnet (genesis catalog)
**Parents:** ⬆ Principle [`L1-365`](/artifact/l1/L1-365)

> **🎯 Tolerance (ε):** expression
> **⚖ Difficulty score:** 0.35 · **Delta tier:** 5
> **⛓ On-chain block:** 41555179

---

## 1. Domain Ω

**Type:** `range`

| Parameter | Unit | Range |
|---|---|---|
| Omega m | m | 0.2 – 0.5 |
| Sigma 8 | — | 0.6 – 1.0 |
| N particles | — | 262144 – 8589934592 |
| Box size mpc h | — | 50 – 2000 |

## 2. Tolerance (ε)

**Type:** `fn`

```
1.0 + 0.05 * (sigma_8 - 0.8) ** 2 / 0.04
```

## 3. Difficulty

| Property | Value |
|---|---|
| Difficulty score | 0.35 |
| Delta tier | 5 |

## 4. Fingerprint

`73418c2be192d091a0173be1916ec786d84500d85c05a4abb033ef9a753efa2f`

## 5. On-chain Registration

- **Chain hash:** `0x349190dadc20f6f5a76e0e4fdb2df9634d38ce719c6585eed8cf64d587ad2548`
- **Chain tx hash:** `0x36905ede6769d8e1dafb1149bfef53fad2551a6042cc9ea4fd44bd839fad1609`
- **Chain block:** `41555179`

---

## File Mapping

This bundle consists of: `L2-365-001.md`, `L2-365-001.json`.

| File | Role | How to regenerate |
|------|------|-------------------|
| `L2-365-001.md` | Source of truth — edit this | Human or LLM |
| `L2-365-001.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 `L2-365-001`._
_Edit it, regenerate the JSON, and submit at [/submit](/submit) to claim the artifact._