# 📐  L2 Spec — Type Ia Supernova Distance Standardization — Nominal + Mismatch Specs

**ID:** `L2-381-001` · **Status:** ⊙ Testnet (genesis catalog)
**Parents:** ⬆ Principle [`L1-381`](/artifact/l1/L1-381)

> **🎯 Tolerance (ε):** expression
> **⚖ Difficulty score:** 0.28 · **Delta tier:** 5
> **⛓ On-chain block:** 41555199

---

## 1. Domain Ω

**Type:** `range`

| Parameter | Unit | Range |
|---|---|---|
| Median z | — | 0.02 – 2.0 |
| Peculiar v kms | — | 100 – 600 |
| N sn hubble flow | — | 50 – 2000 |
| Photometric noise mmag | — | 1.0 – 50.0 |

## 2. Tolerance (ε)

**Type:** `fn`

```
0.5 + 0.3 * (200 / N_SN_hubble_flow) ** 0.5
```

## 3. Difficulty

| Property | Value |
|---|---|
| Difficulty score | 0.28 |
| Delta tier | 5 |

## 4. Fingerprint

`c32dd24349b30010550f7ffa0028042b35c3f85fde17ffd058d2a1ffe1757198`

## 5. On-chain Registration

- **Chain hash:** `0xa88227a52df93f89e78f00828f5a61e9287b1d7241cde1fc8207315df6bcd8cb`
- **Chain tx hash:** `0x66129fb0a006e34a7c6576b1496a3bc774d23a65b1f7ea714db051eb6ce34b44`
- **Chain block:** `41555199`

---

## File Mapping

This bundle consists of: `L2-381-001.md`, `L2-381-001.json`.

| File | Role | How to regenerate |
|------|------|-------------------|
| `L2-381-001.md` | Source of truth — edit this | Human or LLM |
| `L2-381-001.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 `L2-381-001`._
_Edit it, regenerate the JSON, and submit at [/submit](/submit) to claim the artifact._