# 📐  L2 Spec — Advection-Diffusion — scalar transport Mismatch-Only Spec

**ID:** `L2-190-001` · **Status:** ⊙ Testnet (genesis catalog)
**Parents:** ⬆ Principle [`L1-190`](/artifact/l1/L1-190)

> **🎯 Tolerance (ε):** expression
> **⚖ Difficulty score:** 0.48 · **Delta tier:** 5
> **⛓ On-chain block:** 41553979

---

## 1. Domain Ω

**Type:** `range`

| Parameter | Unit | Range |
|---|---|---|
| H | px | 32 – 2048 |
| W | px | 32 – 2048 |
| Snr db | dB | 0 – 40 |
| D error | — | 0.0 – 0.2 |
| N times | — | 50 – 100000 |
| Bc error | — | 0.0 – 0.2 |
| Velocity error | — | 0.0 – 0.1 |

## 2. Tolerance (ε)

**Type:** `fn`

```
19.0 + 0.3*SNR_dB - 15.0*D_error - 30.0*velocity_error - 10.0*bc_error
```

## 3. Difficulty

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

## 4. Fingerprint

`64220b91925990337239ede35b4fe4c00bb424cbccf2b50cb5faa01a3fb50997`

## 5. On-chain Registration

- **Chain hash:** `0xa9d5519a7e5d1f8745e58b5232e689623c8aa1a2ecb1eabafe301d78a0022a3c`
- **Chain tx hash:** `0x8633d8712d60a9f90b88c225bd57c2881afa4c2b6b74e422ad86c817e8c741b9`
- **Chain block:** `41553979`

---

## File Mapping

This bundle consists of: `L2-190-001.md`, `L2-190-001.json`.

| File | Role | How to regenerate |
|------|------|-------------------|
| `L2-190-001.md` | Source of truth — edit this | Human or LLM |
| `L2-190-001.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 `L2-190-001`._
_Edit it, regenerate the JSON, and submit at [/submit](/submit) to claim the artifact._