# 📐  L2 Spec — Calorimeter Energy Response Inversion — Nominal + Mismatch Specs

**ID:** `L2-483-001` · **Status:** ⊙ Testnet (genesis catalog)
**Parents:** ⬆ Principle [`L1-483`](/artifact/l1/L1-483)

> **🎯 Tolerance (ε):** expression
> **⚖ Difficulty score:** 0.4 · **Delta tier:** 5
> **⛓ On-chain block:** 41555319

---

## 1. Domain Ω

**Type:** `range`

| Parameter | Unit | Range |
|---|---|---|
| N cells | — | 1000 – 1000000 |
| Eta range | — | 0.0 – 5.0 |
| Noise gev | — | 0.1 – 5.0 |
| E range gev | — | 1 – 14000 |

## 2. Tolerance (ε)

**Type:** `fn`

```
0.03 + 0.02 * sqrt(noise_GeV / 0.5)
```

## 3. Difficulty

| Property | Value |
|---|---|
| Difficulty score | 0.4 |
| Delta tier | 5 |

## 4. Fingerprint

`0e580f0b603a21ca1e2addcec52ea8751e440159a8d14b659d72b435b7b58cd3`

## 5. On-chain Registration

- **Chain hash:** `0xb938c20c2a0cfaaed6df0a9ee6b714854e12a9185a05ee57c9a113769caeb5dd`
- **Chain tx hash:** `0x1981a1382daea4094d5eff761d63097080d64a268f1025232fbc0ba0930ba5c9`
- **Chain block:** `41555319`

---

## File Mapping

This bundle consists of: `L2-483-001.md`, `L2-483-001.json`.

| File | Role | How to regenerate |
|------|------|-------------------|
| `L2-483-001.md` | Source of truth — edit this | Human or LLM |
| `L2-483-001.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 `L2-483-001`._
_Edit it, regenerate the JSON, and submit at [/submit](/submit) to claim the artifact._