# 📐  L2 Spec — Parton Distribution Functions (DGLAP) — Nominal + Mismatch Specs

**ID:** `L2-481-001` · **Status:** ⊙ Testnet (genesis catalog)
**Parents:** ⬆ Principle [`L1-481`](/artifact/l1/L1-481)

> **🎯 Tolerance (ε):** expression
> **⚖ Difficulty score:** 0.5 · **Delta tier:** 5
> **⛓ On-chain block:** 41555304

---

## 1. Domain Ω

**Type:** `range`

| Parameter | Unit | Range |
|---|---|---|
| Q range gev | — | 10 – 10000 |
| N data points | — | 100 – 10000 |
| Alpha s value | — | 0.11 – 0.125 |
| X min bjorken | — | 1e-06 – 0.01 |

## 2. Tolerance (ε)

**Type:** `fn`

```
1.0 + 0.05 * (3000 / N_data_points) ** 0.3
```

## 3. Difficulty

| Property | Value |
|---|---|
| Difficulty score | 0.5 |
| Delta tier | 5 |

## 4. Fingerprint

`97744bac97ed18d8346187f8cabd3c0e98b09ff21a1e74bbbed3c1e9f7c464d1`

## 5. On-chain Registration

- **Chain hash:** `0x53a15d385189bcfbee611ef9bc0f656abfa60504029fe6ec8ded587eaf49fa05`
- **Chain tx hash:** `0x96fb0e7cb4a31430a068797f164597052200456a51b2421fb551927ac1239039`
- **Chain block:** `41555304`

---

## File Mapping

This bundle consists of: `L2-481-001.md`, `L2-481-001.json`.

| File | Role | How to regenerate |
|------|------|-------------------|
| `L2-481-001.md` | Source of truth — edit this | Human or LLM |
| `L2-481-001.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 `L2-481-001`._
_Edit it, regenerate the JSON, and submit at [/submit](/submit) to claim the artifact._