# 📐  L2 Spec — Hyperspectral Spectral Unmixing — Nominal + Mismatch Specs

**ID:** `L2-472-001` · **Status:** ⊙ Testnet (genesis catalog)
**Parents:** ⬆ Principle [`L1-472`](/artifact/l1/L1-472)

> **🎯 Tolerance (ε):** expression
> **⚖ Difficulty score:** 0.28 · **Delta tier:** 5
> **⛓ On-chain block:** 41555302

---

## 1. Domain Ω

**Type:** `range`

| Parameter | Unit | Range |
|---|---|---|
| H | px | 20 – 500 |
| W | px | 20 – 500 |
| Snr db | dB | 10 – 60 |
| K endmembers | — | 2 – 20 |

## 2. Tolerance (ε)

**Type:** `fn`

```
0.03 + 0.02 * (30 / SNR_dB) ** 0.5
```

## 3. Difficulty

| Property | Value |
|---|---|
| Difficulty score | 0.28 |
| Delta tier | 5 |

## 4. Fingerprint

`b92369b4d0f067d59de4a2a1a459943d59f33f7a43f4381d61f3ea1d5b0797dc`

## 5. On-chain Registration

- **Chain hash:** `0x9abd812178efb9b2bfe9a40532c6cd6182d27b379144cc07da083449ad95131d`
- **Chain tx hash:** `0x9f8dce05b68e170a05d506feee3fa6a8246c86bb2aa8a39153f7d8819bdf2b74`
- **Chain block:** `41555302`

---

## File Mapping

This bundle consists of: `L2-472-001.md`, `L2-472-001.json`.

| File | Role | How to regenerate |
|------|------|-------------------|
| `L2-472-001.md` | Source of truth — edit this | Human or LLM |
| `L2-472-001.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 `L2-472-001`._
_Edit it, regenerate the JSON, and submit at [/submit](/submit) to claim the artifact._