# 📐 L2 Spec — Participating Media — RTE with gas/soot emission-absorption Mismatch-Only Spec
**ID:** `L2-200-001` · **Status:** ⊙ Testnet (genesis catalog)
**Parents:** ⬆ Principle [`L1-200`](/artifact/l1/L1-200)
> **🎯 Tolerance (ε):** expression
> **⚖ Difficulty score:** 0.48 · **Delta tier:** 5
> **⛓ On-chain block:** 41554037
---
## 1. Domain Ω
**Type:** `range`
| Parameter | Unit | Range |
|---|---|---|
| H | px | 32 – 1024 |
| W | px | 32 – 1024 |
| Z | — | 8 – 256 |
| Snr db | dB | 0 – 40 |
| N freqs | — | 4 – 1024 |
| N species | — | 1 – 20 |
| Gas conc error | — | 0.0 – 0.2 |
| T nonuniformity | — | 0.0 – 0.3 |
| Band model error | — | 0.0 – 0.2 |
| Soot index error | — | 0.0 – 0.3 |
## 2. Tolerance (ε)
**Type:** `fn`
```
14.0 + 1.5*log2(N_freqs/4) + 0.25*SNR_dB - 15.0*gas_conc_error - 10.0*T_nonuniformity
```
## 3. Difficulty
| Property | Value |
|---|---|
| Difficulty score | 0.48 |
| Delta tier | 5 |
## 4. Fingerprint
`35036984efac406c7ae7459ded5f4d17a54889c7c44940efaa52bfbcac25746a`
## 5. On-chain Registration
- **Chain hash:** `0xaf777a0ba6c0fee23bd0471a2f8143e27997392b04e8ccf97c6bd9ad20024ce2`
- **Chain tx hash:** `0x0c97496cdb302b150e45f2869ff1c681299c34d1d13334321aa1c39dd8a7abb8`
- **Chain block:** `41554037`
---
## File Mapping
This bundle consists of: `L2-200-001.md`, `L2-200-001.json`.
| File | Role | How to regenerate |
|------|------|-------------------|
| `L2-200-001.md` | Source of truth — edit this | Human or LLM |
| `L2-200-001.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 `L2-200-001`._
_Edit it, regenerate the JSON, and submit at [/submit](/submit) to claim the artifact._