# 📐  L2 Spec — Electroencephalography (EEG) Mismatch-Only Spec

**ID:** `L2-068-001` · **Status:** ⊙ Testnet (genesis catalog)
**Parents:** ⬆ Principle [`L1-068`](/artifact/l1/L1-068)

> **🎯 Tolerance (ε):** expression
> **⚖ Difficulty score:** 0.5 · **Delta tier:** 5
> **⛓ On-chain block:** 41553389

---

## 1. Domain Ω

**Type:** `range`

| Parameter | Unit | Range |
|---|---|---|
| N time | — | 1000 – 1000000 |
| Snr db | dB | 0.0 – 30.0 |
| N channels | — | 8 – 256 |
| Sampling hz | Hz | 100 – 10000 |
| Muscle artifact | — | 0.0 – 0.5 |
| Electrode contact | — | 0.3 – 1.0 |
| Volume conduction | — | 0.1 – 0.5 |
| Reference electrode bias | — | 0.0 – 0.3 |

## 2. Tolerance (ε)

**Type:** `fn`

```
6.0 + 0.3 * SNR_dB + 6.0 * electrode_contact - 10.0 * muscle_artifact - 6.0 * volume_conduction
```

## 3. Difficulty

| Property | Value |
|---|---|
| Difficulty score | 0.5 |
| Delta tier | 5 |

## 4. Fingerprint

`2db82a1d8b15f9125bb8d25a4769f6f74174d7a7d6d2f71e9128522943ef8232`

## 5. On-chain Registration

- **Chain hash:** `0x7a36062dbeef3ea608a7489299f7bda451853309bb456cbb8675bab125e67479`
- **Chain tx hash:** `0xe79f5d83bd2e1473a2088b09ffa1b3b21b074732df326287e7d788db5c15c1eb`
- **Chain block:** `41553389`

---

## File Mapping

This bundle consists of: `L2-068-001.md`, `L2-068-001.json`.

| File | Role | How to regenerate |
|------|------|-------------------|
| `L2-068-001.md` | Source of truth — edit this | Human or LLM |
| `L2-068-001.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 `L2-068-001`._
_Edit it, regenerate the JSON, and submit at [/submit](/submit) to claim the artifact._