# 📐 L2 Spec — Fokker-Planck — Coulomb-collision kinetic Mismatch-Only Spec
**ID:** `L2-347-001` · **Status:** ⊙ Testnet (genesis catalog)
**Parents:** ⬆ Principle [`L1-347`](/artifact/l1/L1-347)
> **🎯 Tolerance (ε):** expression
> **⚖ Difficulty score:** 0.48 · **Delta tier:** 5
> **⛓ On-chain block:** 41554098
---
## 1. Domain Ω
**Type:** `range`
| Parameter | Unit | Range |
|---|---|---|
| N v | — | 16 – 2048 |
| Snr db | dB | 0 – 40 |
| N times | — | 50 – 100000 |
| Log lambda error | — | 0.0 – 0.1 |
| Mass ratio error | — | 0.0 – 0.1 |
| Collision freq error | — | 0.0 – 0.2 |
## 2. Tolerance (ε)
**Type:** `fn`
```
16.0 + 0.3*SNR_dB - 30.0*log_lambda_error - 30.0*mass_ratio_error - 15.0*collision_freq_error
```
## 3. Difficulty
| Property | Value |
|---|---|
| Difficulty score | 0.48 |
| Delta tier | 5 |
## 4. Fingerprint
`7224325a3fee2333406d200e632487eb02ec34912137b04de6720f45e35088af`
## 5. On-chain Registration
- **Chain hash:** `0x059feda3488ae435f854bacbb143746a3102053a5182d7c605856597a1e9f9f4`
- **Chain tx hash:** `0xa190b7c801fae7436f72fd449924c9eeaa197e42265bdb0dcbead1ddc62a204e`
- **Chain block:** `41554098`
---
## File Mapping
This bundle consists of: `L2-347-001.md`, `L2-347-001.json`.
| File | Role | How to regenerate |
|------|------|-------------------|
| `L2-347-001.md` | Source of truth — edit this | Human or LLM |
| `L2-347-001.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 `L2-347-001`._
_Edit it, regenerate the JSON, and submit at [/submit](/submit) to claim the artifact._