# 📐  L2 Spec — Structured Illumination Microscopy (SIM) — lateral 2x resolution Mismatch-Only Spec

**ID:** `L2-005-001` · **Status:** ⊙ Testnet (genesis catalog)
**Parents:** ⬆ Principle [`L1-005`](/artifact/l1/L1-005)

> **🎯 Tolerance (ε):** expression
> **⚖ Difficulty score:** 0.45 · **Delta tier:** 5
> **⛓ On-chain block:** 41554157

---

## 1. Domain Ω

**Type:** `range`

| Parameter | Unit | Range |
|---|---|---|
| H | px | 128 – 2048 |
| W | px | 128 – 2048 |
| Na | — | 1.0 – 1.49 |
| N angle | — | 3 – 5 |
| N phase | — | 3 – 5 |
| Pixel nm | nm | 20 – 100 |
| Peak photons | photons | 50 – 5000 |
| Pattern angle error | — | 0.0 – 0.05 |
| Pattern phase error | — | 0.0 – 0.15 |
| Pattern frequency drift | — | 0.0 – 0.02 |

## 2. Tolerance (ε)

**Type:** `fn`

```
20.0 + 2.5 * log10(peak_photons / 50) - 15.0 * pattern_phase_error - 25.0 * pattern_angle_error
```

## 3. Difficulty

| Property | Value |
|---|---|
| Difficulty score | 0.45 |
| Delta tier | 5 |

## 4. Fingerprint

`148d221026c6d1765a971901689cf6b8604c6e5354d0677667699e8546cd1b25`

## 5. On-chain Registration

- **Chain hash:** `0x9839ba73f6fe9b9d3f7bb7f070c60153c4322bcf987f83e3d8884f8d5ec22dcc`
- **Chain tx hash:** `0xa86d7fd0b42109b76fe88796734469393504dc6426cf587c4671bc6d804fc28b`
- **Chain block:** `41554157`

---

## File Mapping

This bundle consists of: `L2-005-001.md`, `L2-005-001.json`.

| File | Role | How to regenerate |
|------|------|-------------------|
| `L2-005-001.md` | Source of truth — edit this | Human or LLM |
| `L2-005-001.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 `L2-005-001`._
_Edit it, regenerate the JSON, and submit at [/submit](/submit) to claim the artifact._