# 📐  L2 Spec — Carbon Cycle Biogeochemical Inversion — Nominal + Mismatch Specs

**ID:** `L2-424-001` · **Status:** ⊙ Testnet (genesis catalog)
**Parents:** ⬆ Principle [`L1-424`](/artifact/l1/L1-424)

> **🎯 Tolerance (ε):** expression
> **⚖ Difficulty score:** 0.42 · **Delta tier:** 5
> **⛓ On-chain block:** 41555242

---

## 1. Domain Ω

**Type:** `range`

| Parameter | Unit | Range |
|---|---|---|
| N flux regions | — | 11 – 100 |
| N surface stations | — | 10 – 300 |
| Prior uncertainty gtc yr | — | 0.1 – 5.0 |
| Satellite coverage percent | — | 0 – 100 |

## 2. Tolerance (ε)

**Type:** `fn`

```
0.3 + 0.2 * (1.0 / prior_uncertainty_GtC_yr) ** 0.2
```

## 3. Difficulty

| Property | Value |
|---|---|
| Difficulty score | 0.42 |
| Delta tier | 5 |

## 4. Fingerprint

`82b33633107c130d5ae656e6e65369726a6142a3f147083655c80248394e2803`

## 5. On-chain Registration

- **Chain hash:** `0xe27e3fa9b1bd02a35e601230994242c9cac405085a22af9b3c8f0a52bea1101f`
- **Chain tx hash:** `0x2862bf856a05320c8ac7712aa4ef4e4debe03175b9d993cc828ce64884aaa673`
- **Chain block:** `41555242`

---

## File Mapping

This bundle consists of: `L2-424-001.md`, `L2-424-001.json`.

| File | Role | How to regenerate |
|------|------|-------------------|
| `L2-424-001.md` | Source of truth — edit this | Human or LLM |
| `L2-424-001.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 `L2-424-001`._
_Edit it, regenerate the JSON, and submit at [/submit](/submit) to claim the artifact._