# 📐  L2 Spec — General Circulation Model (GCM) Inversion — Nominal + Mismatch Specs

**ID:** `L2-417-001` · **Status:** ⊙ Testnet (genesis catalog)
**Parents:** ⬆ Principle [`L1-417`](/artifact/l1/L1-417)

> **🎯 Tolerance (ε):** expression
> **⚖ Difficulty score:** 0.52 · **Delta tier:** 5
> **⛓ On-chain block:** 41555241

---

## 1. Domain Ω

**Type:** `range`

| Parameter | Unit | Range |
|---|---|---|
| Ecs k | — | 1.5 – 6.0 |
| Simulation years | — | 10 – 1000 |
| N ensemble members | — | 20 – 1000 |
| Aerosol forcing wm2 | — | -3.0 – 0.0 |

## 2. Tolerance (ε)

**Type:** `fn`

```
0.05 + 0.05 * (aerosol_forcing_Wm2 / -1.0) ** 2
```

## 3. Difficulty

| Property | Value |
|---|---|
| Difficulty score | 0.52 |
| Delta tier | 5 |

## 4. Fingerprint

`3e6093d2bbe0917b3ec1f522bf5bc8d2e56cabe35b3d99e1b6dc5b0772338ebc`

## 5. On-chain Registration

- **Chain hash:** `0xd03039948e2ca8ae1f7e9284874d22ac4608e7e7c7aac418b1672b122ff49ce9`
- **Chain tx hash:** `0xe37beefbb6f5557eaa6f6f845b8d1376e71961761bcae8fd5849ea5099b22e19`
- **Chain block:** `41555241`

---

## File Mapping

This bundle consists of: `L2-417-001.md`, `L2-417-001.json`.

| File | Role | How to regenerate |
|------|------|-------------------|
| `L2-417-001.md` | Source of truth — edit this | Human or LLM |
| `L2-417-001.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 `L2-417-001`._
_Edit it, regenerate the JSON, and submit at [/submit](/submit) to claim the artifact._