# 📐  L2 Spec — Magnetic Resonance Spectroscopy (MRS) Mismatch-Only Spec

**ID:** `L2-044-001` · **Status:** ⊙ Testnet (genesis catalog)
**Parents:** ⬆ Principle [`L1-044`](/artifact/l1/L1-044)

> **🎯 Tolerance (ε):** expression
> **⚖ Difficulty score:** 0.5 · **Delta tier:** 5
> **⛓ On-chain block:** 41553388

---

## 1. Domain Ω

**Type:** `range`

| Parameter | Unit | Range |
|---|---|---|
| N avg | — | 16 – 2048 |
| Te ms | ms | 10 – 500 |
| Tr ms | ms | 500 – 10000 |
| Snr db | dB | 0.0 – 30.0 |
| B0 shim | — | 0.0 – 0.2 |
| N samples | — | 512 – 8192 |
| Short t2 signals | — | 0.0 – 0.3 |
| Lipid contamination | — | 0.0 – 0.5 |
| Water suppression imperfection | — | 0.0 – 0.3 |

## 2. Tolerance (ε)

**Type:** `fn`

```
10.0 + 0.3 * SNR_dB + 1.5 * log2(N_avg / 16) - 15.0 * B0_shim - 8.0 * lipid_contamination
```

## 3. Difficulty

| Property | Value |
|---|---|
| Difficulty score | 0.5 |
| Delta tier | 5 |

## 4. Fingerprint

`c90f58d209e009f672b2d822556301f89df867fddcd28dd670af82eb1c71bad2`

## 5. On-chain Registration

- **Chain hash:** `0xcc86b18d0ffdc3d6f83948ca2b93353d469e51ad7f3ad0e3371dd8d648636df1`
- **Chain tx hash:** `0xb1225a130977e6b5631c8aad4dc4c9e877199d38cb509b2c4c67dbb2ed1c4c1a`
- **Chain block:** `41553388`

---

## File Mapping

This bundle consists of: `L2-044-001.md`, `L2-044-001.json`.

| File | Role | How to regenerate |
|------|------|-------------------|
| `L2-044-001.md` | Source of truth — edit this | Human or LLM |
| `L2-044-001.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 `L2-044-001`._
_Edit it, regenerate the JSON, and submit at [/submit](/submit) to claim the artifact._