# 📐  L2 Spec — Mantle Convection — high-Ra thermal convection Mismatch-Only Spec

**ID:** `L2-286-001` · **Status:** ⊙ Testnet (genesis catalog)
**Parents:** ⬆ Principle [`L1-286`](/artifact/l1/L1-286)

> **🎯 Tolerance (ε):** expression
> **⚖ Difficulty score:** 0.48 · **Delta tier:** 5
> **⛓ On-chain block:** 41554068

---

## 1. Domain Ω

**Type:** `range`

| Parameter | Unit | Range |
|---|---|---|
| H | px | 32 – 1024 |
| W | px | 32 – 1024 |
| Z | — | 32 – 1024 |
| Ra | — | 100000.0 – 1000000000.0 |
| Snr db | dB | 0 – 40 |
| N times | — | 10 – 10000 |
| Bc error | — | 0.0 – 0.3 |
| Rheology error | — | 0.0 – 0.3 |
| Time history unknown | — | 0.0 – 0.5 |
| Viscosity contrast error | — | 0.0 – 0.5 |

## 2. Tolerance (ε)

**Type:** `fn`

```
8.0 + 10.0*rheology_error + 8.0*viscosity_contrast_error + 5.0*bc_error + 10.0*time_history_unknown
```

## 3. Difficulty

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

## 4. Fingerprint

`f0dce3a0bd8bda8f43f9000a550b765e5316b20046078842b529a6995a6243ac`

## 5. On-chain Registration

- **Chain hash:** `0xdb8e6ea0d4b7209ee4585eff7a6fe5dbb80fd4f078d89d6561a09d6cb9dab318`
- **Chain tx hash:** `0xf49ff57c5abee6f0882601891fcc8ccd1457729c6a867832247378e3289eed35`
- **Chain block:** `41554068`

---

## File Mapping

This bundle consists of: `L2-286-001.md`, `L2-286-001.json`.

| File | Role | How to regenerate |
|------|------|-------------------|
| `L2-286-001.md` | Source of truth — edit this | Human or LLM |
| `L2-286-001.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 `L2-286-001`._
_Edit it, regenerate the JSON, and submit at [/submit](/submit) to claim the artifact._