# 📐  L2 Spec — Gaussian Plume Atmospheric Dispersion — Nominal + Mismatch Specs

**ID:** `L2-414-001` · **Status:** ⊙ Testnet (genesis catalog)
**Parents:** ⬆ Principle [`L1-414`](/artifact/l1/L1-414)

> **🎯 Tolerance (ε):** expression
> **⚖ Difficulty score:** 0.25 · **Delta tier:** 5
> **⛓ On-chain block:** 41555223

---

## 1. Domain Ω

**Type:** `range`

| Parameter | Unit | Range |
|---|---|---|
| N sensors | — | 3 – 100 |
| Distance km | km | 0.1 – 50.0 |
| Wind speed m s | s | 0.5 – 10.0 |
| Stability class int | — | 1 – 6 |

## 2. Tolerance (ε)

**Type:** `fn`

```
15 + 10 * (6 / N_sensors) ** 0.5
```

## 3. Difficulty

| Property | Value |
|---|---|
| Difficulty score | 0.25 |
| Delta tier | 5 |

## 4. Fingerprint

`20ad5d79a28d2e97758cb7fa8bfd99d0ef21f8c075b19df1c54f680399ea5b9a`

## 5. On-chain Registration

- **Chain hash:** `0x36c84961790e5db7bc02b512fe0dd516f5fccf6e900a99f3668db2ffb0d58b4c`
- **Chain tx hash:** `0x28b001a48749f0197f1b71cc844201a69f202f201d253bd6e77815f38f85cd63`
- **Chain block:** `41555223`

---

## File Mapping

This bundle consists of: `L2-414-001.md`, `L2-414-001.json`.

| File | Role | How to regenerate |
|------|------|-------------------|
| `L2-414-001.md` | Source of truth — edit this | Human or LLM |
| `L2-414-001.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 `L2-414-001`._
_Edit it, regenerate the JSON, and submit at [/submit](/submit) to claim the artifact._