# 📐  L2 Spec — Magnetic Force Microscopy (MFM) Mismatch-Only Spec

**ID:** `L2-165-001` · **Status:** ⊙ Testnet (genesis catalog)
**Parents:** ⬆ Principle [`L1-165`](/artifact/l1/L1-165)

> **🎯 Tolerance (ε):** expression
> **⚖ Difficulty score:** 0.55 · **Delta tier:** 5
> **⛓ On-chain block:** 41554246

---

## 1. Domain Ω

**Type:** `range`

| Parameter | Unit | Range |
|---|---|---|
| H | px | 64 |
| W | px | 64 |
| Snr db | dB | 0.0 – 40.0 |
| Pixel nm | nm | 2 – 500 |
| Vibration | — | 0.0 – 0.3 |
| Stray field | — | 0.0 – 0.3 |
| Tip radius nm | nm | 5 – 200 |
| Lift height nm | nm | 10 – 500 |
| Crosstalk topography | — | 0.0 – 0.5 |
| Tip magnetization drift | — | 0.0 – 0.3 |

## 2. Tolerance (ε)

**Type:** `fn`

```
16.0 + 0.3 * SNR_dB - 8.0 * crosstalk_topography - 0.05 * lift_height_nm - 6.0 * tip_magnetization_drift
```

## 3. Difficulty

| Property | Value |
|---|---|
| Difficulty score | 0.55 |
| Delta tier | 5 |

## 4. Fingerprint

`b081595b1726411003386197e084b78ea1e2c91d11f235d09a26734949358092`

## 5. On-chain Registration

- **Chain hash:** `0xc851650e91d8c77d5a944757d7485485e0121a4f6a95ba352d63cea0e25d9f13`
- **Chain tx hash:** `0x56719250e9669575561dcfc5edf47e585a1621edca37bbb7a24f3df10e1fe71b`
- **Chain block:** `41554246`

---

## File Mapping

This bundle consists of: `L2-165-001.md`, `L2-165-001.json`.

| File | Role | How to regenerate |
|------|------|-------------------|
| `L2-165-001.md` | Source of truth — edit this | Human or LLM |
| `L2-165-001.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 `L2-165-001`._
_Edit it, regenerate the JSON, and submit at [/submit](/submit) to claim the artifact._