# 📐 L2 Spec — Fiber Optic — nonlinear Schrodinger pulse propagation Mismatch-Only Spec
**ID:** `L2-240-001` · **Status:** ⊙ Testnet (genesis catalog)
**Parents:** ⬆ Principle [`L1-240`](/artifact/l1/L1-240)
> **🎯 Tolerance (ε):** expression
> **⚖ Difficulty score:** 0.48 · **Delta tier:** 5
> **⛓ On-chain block:** 41553991
---
## 1. Domain Ω
**Type:** `range`
| Parameter | Unit | Range |
|---|---|---|
| Snr db | dB | 0 – 40 |
| N samples | — | 256 – 1048576 |
| L fiber km | km | 0.001 – 10000 |
| Loss error | — | 0.0 – 0.1 |
| Beta2 error | — | 0.0 – 0.1 |
| Gamma error | — | 0.0 – 0.1 |
| Raman frac error | — | 0.0 – 0.2 |
## 2. Tolerance (ε)
**Type:** `fn`
```
17.0 + 0.3*SNR_dB - 20.0*beta2_error - 15.0*gamma_error - 10.0*loss_error
```
## 3. Difficulty
| Property | Value |
|---|---|
| Difficulty score | 0.48 |
| Delta tier | 5 |
## 4. Fingerprint
`b0e67a0769e207dbdcb8a4f272578606c7bbe4a5b0cc20712487316136f4c49b`
## 5. On-chain Registration
- **Chain hash:** `0xe7870c847bad5abaf975979b8275ed238b64b97449e1c705a1b3a585197e53c2`
- **Chain tx hash:** `0xeed89eb43fa766d941922bc8d515acb30d6707682bf5d773e9c60efb4adf1a24`
- **Chain block:** `41553991`
---
## File Mapping
This bundle consists of: `L2-240-001.md`, `L2-240-001.json`.
| File | Role | How to regenerate |
|------|------|-------------------|
| `L2-240-001.md` | Source of truth — edit this | Human or LLM |
| `L2-240-001.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 `L2-240-001`._
_Edit it, regenerate the JSON, and submit at [/submit](/submit) to claim the artifact._