# 📐  L2 Spec — Hyperpolarized 13C Metabolic MRI — Spec Skeleton

**ID:** `L2-506-001` · **Status:** ⊙ Testnet (genesis catalog)
**Parents:** ⬆ Principle [`L1-506`](/artifact/l1/L1-506)

> **🎯 Tolerance (ε):** expression
> **⚖ Difficulty score:** 0.5 · **Delta tier:** 5
> **⛓ On-chain block:** 41552980

---

## 1. Domain Ω

**Type:** `range`

| Parameter | Unit | Range |
|---|---|---|
| H | px | 32 – 256 |
| W | px | 32 – 256 |
| Z | — | 8 – 64 |
| P dnp | — | 0.05 – 0.5 |
| Snr db | dB | 5.0 – 35.0 |
| N frames | — | 5 – 60 |
| B0 field t | — | 1.5 – 7.0 |
| N metabolites | — | 2 – 6 |
| Voxel size mm | mm | 2.0 – 15.0 |
| T1 uncertainty | — | 0.0 – 0.3 |
| B1 inhomogeneity | — | 0.0 – 0.3 |
| Frame duration s | s | 1.0 – 10.0 |
| Dnp polarization loss | — | 0.0 – 0.4 |
| Partial volume effect | — | 0.0 – 0.4 |
| Susceptibility artifact | — | 0.0 – 0.3 |
| Injection bolus uncertainty | — | 0.0 – 0.3 |

## 2. Tolerance (ε)

**Type:** `fn`

```
22.0
```

## 3. Difficulty

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

## 4. Fingerprint

`58b6aa1d588f7bf3349602e47950e19e132ff052e3f187b7f1f15461ad4d3cba`

## 5. On-chain Registration

- **Chain hash:** `0x99752a1b430ea20b91644cf5b8728fddfad6e7211629ba04a1e4b6874a1b19cc`
- **Chain tx hash:** `0xe336115870bc36fec9a8161511460706a8cc00f798b33ce82dec5fa1cb0f672a`
- **Chain block:** `41552980`

---

## File Mapping

This bundle consists of: `L2-506-001.md`, `L2-506-001.json`.

| File | Role | How to regenerate |
|------|------|-------------------|
| `L2-506-001.md` | Source of truth — edit this | Human or LLM |
| `L2-506-001.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 `L2-506-001`._
_Edit it, regenerate the JSON, and submit at [/submit](/submit) to claim the artifact._