# 📐  L2 Spec — SRS Hyperspectral Unmixing Spec

**ID:** `L2-139-001` · **Status:** ⊙ Testnet (genesis catalog)
**Parents:** ⬆ Principle [`L1-139`](/artifact/l1/L1-139)

> **🎯 Tolerance (ε):** expression
> **⚖ Difficulty score:** 0.25 · **Delta tier:** 5
> **⛓ On-chain block:** 41554230

---

## 1. Domain Ω

**Type:** `range`

| Parameter | Unit | Range |
|---|---|---|
| H | px | 64 – 2048 |
| K | — | 1 – 10 |
| W | px | 64 – 2048 |
| Tau us | µs | 1 – 1000 |
| N omega | — | 1 – 500 |
| Xpm artifact | — | 0.0 – 0.2 |
| Rin laser noise | — | 1e-08 – 1e-05 |
| Thermal lensing | — | 0.0 – 0.2 |
| Focal volume error | — | 0.0 – 0.2 |

## 2. Tolerance (ε)

**Type:** `fn`

```
5e-4 + 10 * rin_laser_noise + 0.01 * thermal_lensing + 0.02 * xpm_artifact
```

## 3. Difficulty

| Property | Value |
|---|---|
| Difficulty score | 0.25 |
| Delta tier | 5 |

## 4. Fingerprint

`774b240e2f253596c3baab4ab4c5b746d5cd35cf59b0356aebbde283692aa2e6`

## 5. On-chain Registration

- **Chain hash:** `0xc8dafd8363f0b8e206757074788e496869eadc6481fbcaff2fccfe5833ef621a`
- **Chain tx hash:** `0xd84e579a418736844e5a016cea36690d55eb44804de6d0c30ddf3bc8f6aa1d64`
- **Chain block:** `41554230`

---

## File Mapping

This bundle consists of: `L2-139-001.md`, `L2-139-001.json`.

| File | Role | How to regenerate |
|------|------|-------------------|
| `L2-139-001.md` | Source of truth — edit this | Human or LLM |
| `L2-139-001.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 `L2-139-001`._
_Edit it, regenerate the JSON, and submit at [/submit](/submit) to claim the artifact._