# 📐 L2 Spec — Gyrokinetic — 5D reduced plasma kinetic Mismatch-Only Spec
**ID:** `L2-345-001` · **Status:** ⊙ Testnet (genesis catalog)
**Parents:** ⬆ Principle [`L1-345`](/artifact/l1/L1-345)
> **🎯 Tolerance (ε):** expression
> **⚖ Difficulty score:** 0.48 · **Delta tier:** 5
> **⛓ On-chain block:** 41554098
---
## 1. Domain Ω
**Type:** `range`
| Parameter | Unit | Range |
|---|---|---|
| N v | — | 8 – 128 |
| N mu | — | 4 – 64 |
| Snr db | dB | 0 – 40 |
| N radial | — | 32 – 2048 |
| N binormal | — | 16 – 2048 |
| N parallel | — | 8 – 256 |
| Closure error | — | 0.0 – 0.3 |
| Gyroaverage error | — | 0.0 – 0.2 |
| Fluctuation prior error | — | 0.0 – 0.3 |
## 2. Tolerance (ε)
**Type:** `fn`
```
10.0 + 0.3*SNR_dB - 10.0*gyroaverage_error - 10.0*closure_error - 8.0*fluctuation_prior_error
```
## 3. Difficulty
| Property | Value |
|---|---|
| Difficulty score | 0.48 |
| Delta tier | 5 |
## 4. Fingerprint
`a357c834bea45838c6da14740f9175b13faedd299d33800a1c7c0fbcc4b67887`
## 5. On-chain Registration
- **Chain hash:** `0xcd6418a6a8b995f8e74e5d2ac82131523d4514624af72c90d380557628c3b3ff`
- **Chain tx hash:** `0xb1ae996fe72535fb842031a3c81ed537bb3c36029d623b89c8a1de8af0d23a21`
- **Chain block:** `41554098`
---
## File Mapping
This bundle consists of: `L2-345-001.md`, `L2-345-001.json`.
| File | Role | How to regenerate |
|------|------|-------------------|
| `L2-345-001.md` | Source of truth — edit this | Human or LLM |
| `L2-345-001.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 `L2-345-001`._
_Edit it, regenerate the JSON, and submit at [/submit](/submit) to claim the artifact._