# 📐  L2 Spec — Scanning Tunneling Microscopy (STM) Mismatch-Only Spec

**ID:** `L2-163-001` · **Status:** ⊙ Testnet (genesis catalog)
**Parents:** ⬆ Principle [`L1-163`](/artifact/l1/L1-163)

> **🎯 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 |
| Bias mv | — | 1 – 3000 |
| Pixel a | — | 0.05 – 5.0 |
| Setpoint pa | Pa | 1 – 10000 |
| Thermal drift | — | 0.0 – 5 |
| Electronic noise | — | 0.0 – 0.3 |
| Tip apex geometry | — | 0.3 – 1.0 |
| Piezo nonlinearity | — | 0.0 – 0.3 |

## 2. Tolerance (ε)

**Type:** `fn`

```
20.0 + 0.3 * SNR_dB + 6.0 * tip_apex_geometry - 0.5 * thermal_drift - 8.0 * piezo_nonlinearity
```

## 3. Difficulty

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

## 4. Fingerprint

`92bdb3712b6aa6f21f941af7a186d7326636df8f6fc60e9e68952e0054ee64ac`

## 5. On-chain Registration

- **Chain hash:** `0xbd5d1f485489280430c90de9e86aa046252a3932642f967cdca2717c2b7abc8b`
- **Chain tx hash:** `0xe960ea5f7972016ae3925802be31f33f96d6e167e64fdc4b2747b4f2f55a85aa`
- **Chain block:** `41554246`

---

## File Mapping

This bundle consists of: `L2-163-001.md`, `L2-163-001.json`.

| File | Role | How to regenerate |
|------|------|-------------------|
| `L2-163-001.md` | Source of truth — edit this | Human or LLM |
| `L2-163-001.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 `L2-163-001`._
_Edit it, regenerate the JSON, and submit at [/submit](/submit) to claim the artifact._