# 📐  L2 Spec — Pulsar Timing Array GW Background — Nominal + Mismatch Specs

**ID:** `L2-373-001` · **Status:** ⊙ Testnet (genesis catalog)
**Parents:** ⬆ Principle [`L1-373`](/artifact/l1/L1-373)

> **🎯 Tolerance (ε):** expression
> **⚖ Difficulty score:** 0.4 · **Delta tier:** 5
> **⛓ On-chain block:** 41555181

---

## 1. Domain Ω

**Type:** `range`

| Parameter | Unit | Range |
|---|---|---|
| N psr | — | 10 – 100 |
| T obs yr | — | 5 – 25 |
| Cadence yr | — | 0.01 – 0.1 |
| Noise rms ns | ns | 10 – 1000 |

## 2. Tolerance (ε)

**Type:** `fn`

```
2.0 + 1.0 * (N_psr / 25) ** 0.5
```

## 3. Difficulty

| Property | Value |
|---|---|
| Difficulty score | 0.4 |
| Delta tier | 5 |

## 4. Fingerprint

`8ec0f949611b65be8104d57f6b16a66e1c2c084805068b3c71686adf2c3a666b`

## 5. On-chain Registration

- **Chain hash:** `0x3d35da49b50a018d3c8ad97182d24f52422b7663e4472cd1b1d2cae589802156`
- **Chain tx hash:** `0xcb83880e118973859a38bbfbc1f2114da86de7c62f8226bdc7d1d14537a3d72c`
- **Chain block:** `41555181`

---

## File Mapping

This bundle consists of: `L2-373-001.md`, `L2-373-001.json`.

| File | Role | How to regenerate |
|------|------|-------------------|
| `L2-373-001.md` | Source of truth — edit this | Human or LLM |
| `L2-373-001.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 `L2-373-001`._
_Edit it, regenerate the JSON, and submit at [/submit](/submit) to claim the artifact._