# 📐  L2 Spec — Dark Matter Direct Detection Inversion — Nominal + Mismatch Specs

**ID:** `L2-486-001` · **Status:** ⊙ Testnet (genesis catalog)
**Parents:** ⬆ Principle [`L1-486`](/artifact/l1/L1-486)

> **🎯 Tolerance (ε):** expression
> **⚖ Difficulty score:** 0.48 · **Delta tier:** 5
> **⛓ On-chain block:** 41555319

---

## 1. Domain Ω

**Type:** `range`

| Parameter | Unit | Range |
|---|---|---|
| M dm gev | — | 1 – 10000 |
| E threshold kev | — | 0.1 – 10.0 |
| Exposure ton yr | — | 0.01 – 10.0 |
| Background rate evt kev ton yr | — | 0.001 – 10.0 |

## 2. Tolerance (ε)

**Type:** `fn`

```
-46 - 1 * log10(exposure_ton_yr / 1.0)
```

## 3. Difficulty

| Property | Value |
|---|---|
| Difficulty score | 0.48 |
| Delta tier | 5 |

## 4. Fingerprint

`9a0edc911723c4a047ca4c7d5b67b0aac80ade3db3a4ddca164378273c9a89ed`

## 5. On-chain Registration

- **Chain hash:** `0xb2c664c6d40d907f68ecd4007898e577d39d2ca09d2a71e1305d6aee79ce68d0`
- **Chain tx hash:** `0xc7250b6c5c42095868a222ef884231bddc90fa5cf56385608c6ad99e1b12345e`
- **Chain block:** `41555319`

---

## File Mapping

This bundle consists of: `L2-486-001.md`, `L2-486-001.json`.

| File | Role | How to regenerate |
|------|------|-------------------|
| `L2-486-001.md` | Source of truth — edit this | Human or LLM |
| `L2-486-001.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 `L2-486-001`._
_Edit it, regenerate the JSON, and submit at [/submit](/submit) to claim the artifact._