# 📐  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._