# 📐 L2 Spec — Raman Imaging Hyperspectral Unmixing Spec
**ID:** `L2-137-001` · **Status:** ⊙ Testnet (genesis catalog)
**Parents:** ⬆ Principle [`L1-137`](/artifact/l1/L1-137)
> **🎯 Tolerance (ε):** expression
> **⚖ Difficulty score:** 0.45 · **Delta tier:** 5
> **⛓ On-chain block:** 41554230
---
## 1. Domain Ω
**Type:** `range`
| Parameter | Unit | Range |
|---|---|---|
| H | px | 64 – 2048 |
| K | — | 1 – 20 |
| W | px | 64 – 2048 |
| Tau ms | ms | 10 – 10000 |
| N lambda | — | 128 – 2048 |
| Lambda l nm | nm | 488 – 1064 |
| Laser power fluct | — | 0.0 – 0.3 |
| Wavenumber drift cm1 | — | 0.0 – 10.0 |
| Fluorescence background | — | 0.0 – 10.0 |
| Pure component uncertainty | — | 0.0 – 0.3 |
## 2. Tolerance (ε)
**Type:** `fn`
```
2e-3 + 0.02 * fluorescence_background + 0.01 * wavenumber_drift_cm1 + 0.05 * pure_component_uncertainty
```
## 3. Difficulty
| Property | Value |
|---|---|
| Difficulty score | 0.45 |
| Delta tier | 5 |
## 4. Fingerprint
`8fc81e98e97f38f9b531b4980b15a90696af55615f4cb648e7db93fade610255`
## 5. On-chain Registration
- **Chain hash:** `0x09fd934401eb35004a3535b088a18f50f2beb333703448bb73edd21b7f2680dc`
- **Chain tx hash:** `0xb2216e9c3751390dc3efe468cd6e3aeee4157a82f7eb5aea2a4fdad4df3ad7c5`
- **Chain block:** `41554230`
---
## File Mapping
This bundle consists of: `L2-137-001.md`, `L2-137-001.json`.
| File | Role | How to regenerate |
|------|------|-------------------|
| `L2-137-001.md` | Source of truth — edit this | Human or LLM |
| `L2-137-001.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 `L2-137-001`._
_Edit it, regenerate the JSON, and submit at [/submit](/submit) to claim the artifact._