# 📐  L2 Spec — Thin Film Growth Kinetics Mismatch-Only Spec

**ID:** `L2-337-001` · **Status:** ⊙ Testnet (genesis catalog)
**Parents:** ⬆ Principle [`L1-337`](/artifact/l1/L1-337)

> **🎯 Tolerance (ε):** expression
> **⚖ Difficulty score:** 0.45 · **Delta tier:** 5
> **⛓ On-chain block:** 41554133

---

## 1. Domain Ω

**Type:** `range`

| Parameter | Unit | Range |
|---|---|---|
| T k | — | 200 – 1500 |
| T s | s | 0.1 – 3600 |
| F ml s | s | 0.0001 – 10 |
| E mig ev | — | 0.1 – 2.5 |
| Lattice l | — | 128 – 8192 |

## 2. Tolerance (ε)

**Type:** `fn`

```
0.05 * (1 + 0.1 * mismatch_severity)
```

## 3. Difficulty

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

## 4. Fingerprint

`bab1e6b1f6dbef0d74cbf664101c8129adb5dcc3cf7091df16020444df369399`

## 5. On-chain Registration

- **Chain hash:** `0xe552eb835c9b45e4130bf68547e3ca87e8f86f80d76fed77c98ffb456eefc212`
- **Chain tx hash:** `0x145994d85d02dc1ed3ec9bff2671ab21e867afe45a59da848880991ce04a82f5`
- **Chain block:** `41554133`

---

## File Mapping

This bundle consists of: `L2-337-001.md`, `L2-337-001.json`.

| File | Role | How to regenerate |
|------|------|-------------------|
| `L2-337-001.md` | Source of truth — edit this | Human or LLM |
| `L2-337-001.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 `L2-337-001`._
_Edit it, regenerate the JSON, and submit at [/submit](/submit) to claim the artifact._