# 📐  L2 Spec — Off-Axis Electron Holography — nanoscale phase imaging Mismatch-Only Spec

**ID:** `L2-091-001` · **Status:** ⊙ Testnet (genesis catalog)
**Parents:** ⬆ Principle [`L1-091`](/artifact/l1/L1-091)

> **🎯 Tolerance (ε):** expression
> **⚖ Difficulty score:** 0.48 · **Delta tier:** 5
> **⛓ On-chain block:** 41554188

---

## 1. Domain Ω

**Type:** `range`

| Parameter | Unit | Range |
|---|---|---|
| H | px | 512 – 4096 |
| W | px | 512 – 4096 |
| Kv | — | 200 – 300 |
| Pixel a | — | 0.1 – 5.0 |
| Peak electrons | — | 10 – 5000 |
| Reference drift | — | 0.0 – 0.01 |
| Biprism stability | — | 0.5 – 1.0 |
| Fringe spacing nm | nm | 0.5 – 10 |
| Fringe contrast loss | — | 0.0 – 0.5 |

## 2. Tolerance (ε)

**Type:** `fn`

```
18.0 + 2.0 * log10(peak_electrons / 10) + 10.0 * biprism_stability - 15.0 * fringe_contrast_loss
```

## 3. Difficulty

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

## 4. Fingerprint

`6e479f8fd11b9498f72b98afb4b15b2388d496f7040fbf3378ad602f94115c45`

## 5. On-chain Registration

- **Chain hash:** `0x41c165207d83d6f5c716d6894595f3089b25da91576ca1fe9eaf1ca3a87bc610`
- **Chain tx hash:** `0x0fd63fc640baa225153335f03507c13bf6cbaa64b98d96ca44c7044da42ad675`
- **Chain block:** `41554188`

---

## File Mapping

This bundle consists of: `L2-091-001.md`, `L2-091-001.json`.

| File | Role | How to regenerate |
|------|------|-------------------|
| `L2-091-001.md` | Source of truth — edit this | Human or LLM |
| `L2-091-001.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 `L2-091-001`._
_Edit it, regenerate the JSON, and submit at [/submit](/submit) to claim the artifact._