# 📐 L2 Spec — PIC (Particle-in-Cell) — plasma kinetic simulation Mismatch-Only Spec
**ID:** `L2-346-001` · **Status:** ⊙ Testnet (genesis catalog)
**Parents:** ⬆ Principle [`L1-346`](/artifact/l1/L1-346)
> **🎯 Tolerance (ε):** expression
> **⚖ Difficulty score:** 0.48 · **Delta tier:** 5
> **⛓ On-chain block:** 41554098
---
## 1. Domain Ω
**Type:** `range`
| Parameter | Unit | Range |
|---|---|---|
| Snr db | dB | 0 – 40 |
| N cells | — | 1000.0 – 10000000000.0 |
| N times | — | 100 – 10000000 |
| N particles | — | 10000.0 – 10000000000000.0 |
| Statistical noise | — | 0.0 – 0.3 |
| Initial dist error | — | 0.0 – 0.3 |
| Grid dispersion error | — | 0.0 – 0.2 |
## 2. Tolerance (ε)
**Type:** `fn`
```
15.0 + 0.3*SNR_dB - 10.0*statistical_noise - 15.0*grid_dispersion_error - 10.0*initial_dist_error
```
## 3. Difficulty
| Property | Value |
|---|---|
| Difficulty score | 0.48 |
| Delta tier | 5 |
## 4. Fingerprint
`496224a13031c8db673c2e40e96a42974de376eaa788c065c0508e667f3f629b`
## 5. On-chain Registration
- **Chain hash:** `0xd3b25f300f8741fbca78a47160a29cab4240f611d6df5cc2e9e5eb95e7e06864`
- **Chain tx hash:** `0x02c30ae6978da413ee2f0d3885fcef9af628048cb6d50975592ed971feeeb7ec`
- **Chain block:** `41554098`
---
## File Mapping
This bundle consists of: `L2-346-001.md`, `L2-346-001.json`.
| File | Role | How to regenerate |
|------|------|-------------------|
| `L2-346-001.md` | Source of truth — edit this | Human or LLM |
| `L2-346-001.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 `L2-346-001`._
_Edit it, regenerate the JSON, and submit at [/submit](/submit) to claim the artifact._