# 📐 L2 Spec — CARS Multiplex Spec (broadband CARS family)
**ID:** `L2-138-001` · **Status:** ⊙ Testnet (genesis catalog)
**Parents:** ⬆ Principle [`L1-138`](/artifact/l1/L1-138)
> **🎯 Tolerance (ε):** expression
> **⚖ Difficulty score:** 0.35 · **Delta tier:** 5
> **⛓ On-chain block:** 41554230
---
## 1. Domain Ω
**Type:** `range`
| Parameter | Unit | Range |
|---|---|---|
| H | px | 64 – 1024 |
| W | px | 64 – 1024 |
| Rho nr | — | 0.0 – 5.0 |
| N omega | — | 1 – 2048 |
| Lambda p nm | nm | 750 – 1100 |
| Lambda s nm | nm | 1000 – 1300 |
| Focal volume error | — | 0.0 – 0.2 |
| Pulse energy fluct | — | 0.0 – 0.3 |
| Frequency drift cm1 | — | 0.0 – 20.0 |
## 2. Tolerance (ε)
**Type:** `fn`
```
1e-2 + 0.05 * rho_NR + 0.005 * frequency_drift_cm1 + 0.05 * pulse_energy_fluct
```
## 3. Difficulty
| Property | Value |
|---|---|
| Difficulty score | 0.35 |
| Delta tier | 5 |
## 4. Fingerprint
`de3a0e22bd6475b68b02ea652a49c08306e68be104759a1dff2fc8c6e24d94b4`
## 5. On-chain Registration
- **Chain hash:** `0x39bfeddc0bceba03bf930e1e916d2d757c051a9c6e1c52f93d7d171ad751fafd`
- **Chain tx hash:** `0xf791b2371e95a606ff53f32c98250e4b695ec92fccfab1b8ea16d031a8b341ae`
- **Chain block:** `41554230`
---
## File Mapping
This bundle consists of: `L2-138-001.md`, `L2-138-001.json`.
| File | Role | How to regenerate |
|------|------|-------------------|
| `L2-138-001.md` | Source of truth — edit this | Human or LLM |
| `L2-138-001.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 `L2-138-001`._
_Edit it, regenerate the JSON, and submit at [/submit](/submit) to claim the artifact._