# 📐  L2 Spec — Atmospheric Radiative Transfer Inversion — Nominal + Mismatch Specs

**ID:** `L2-416-001` · **Status:** ⊙ Testnet (genesis catalog)
**Parents:** ⬆ Principle [`L1-416`](/artifact/l1/L1-416)

> **🎯 Tolerance (ε):** expression
> **⚖ Difficulty score:** 0.38 · **Delta tier:** 5
> **⛓ On-chain block:** 41555241

---

## 1. Domain Ω

**Type:** `range`

| Parameter | Unit | Range |
|---|---|---|
| N layers | — | 10 – 100 |
| N channels | — | 100 – 10000 |
| Noise nedt k | — | 0.01 – 1.0 |
| Cloud fraction | — | 0.0 – 1.0 |

## 2. Tolerance (ε)

**Type:** `fn`

```
0.5 + 0.5 * (noise_NEdT_K / 0.1) ** 0.5
```

## 3. Difficulty

| Property | Value |
|---|---|
| Difficulty score | 0.38 |
| Delta tier | 5 |

## 4. Fingerprint

`18f2b5e84100ce17c73ad8a1ffcfb86a21b317627e1d5622ef307f7a034a9ad7`

## 5. On-chain Registration

- **Chain hash:** `0xfc949820815063529f7502a69593c6dc957e59e45570537dd03007855b00f599`
- **Chain tx hash:** `0x79d93dd5906bfa87b546808421c84730490ccba3a3897d0bceeba8c5eaa75b63`
- **Chain block:** `41555241`

---

## File Mapping

This bundle consists of: `L2-416-001.md`, `L2-416-001.json`.

| File | Role | How to regenerate |
|------|------|-------------------|
| `L2-416-001.md` | Source of truth — edit this | Human or LLM |
| `L2-416-001.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 `L2-416-001`._
_Edit it, regenerate the JSON, and submit at [/submit](/submit) to claim the artifact._