# 📐 L2 Spec — Fatigue — Paris law crack growth Mismatch-Only Spec
**ID:** `L2-224-001` · **Status:** ⊙ Testnet (genesis catalog)
**Parents:** ⬆ Principle [`L1-224`](/artifact/l1/L1-224)
> **🎯 Tolerance (ε):** expression
> **⚖ Difficulty score:** 0.48 · **Delta tier:** 5
> **⛓ On-chain block:** 41554024
---
## 1. Domain Ω
**Type:** `range`
| Parameter | Unit | Range |
|---|---|---|
| Snr db | dB | 0 – 40 |
| C error | — | 0.0 – 0.3 |
| M error | — | 0.0 – 0.1 |
| N cycles | — | 1000.0 – 10000000000.0 |
| Threshold delta k error | — | 0.0 – 0.3 |
## 2. Tolerance (ε)
**Type:** `fn`
```
18.0 + 0.3*SNR_dB - 10.0*C_error - 30.0*m_error - 8.0*threshold_delta_K_error
```
## 3. Difficulty
| Property | Value |
|---|---|
| Difficulty score | 0.48 |
| Delta tier | 5 |
## 4. Fingerprint
`0df16527f415acb847729de5651d9557d4858f476a741c522cc86072822319d0`
## 5. On-chain Registration
- **Chain hash:** `0x27ff37604082eef1228bd6b9f229b417ef6191cb9b9155ec57049392c26c8bf1`
- **Chain tx hash:** `0x7653ac4518d105eb4f321cffd8b0465726a53888ee97416f5fa8741aec852c6e`
- **Chain block:** `41554024`
---
## File Mapping
This bundle consists of: `L2-224-001.md`, `L2-224-001.json`.
| File | Role | How to regenerate |
|------|------|-------------------|
| `L2-224-001.md` | Source of truth — edit this | Human or LLM |
| `L2-224-001.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 `L2-224-001`._
_Edit it, regenerate the JSON, and submit at [/submit](/submit) to claim the artifact._