# 📐  L2 Spec — Compressed Sensing Canonical Spec (Gaussian matrix + Lp recovery)

**ID:** `L2-386-001` · **Status:** ⊙ Testnet (genesis catalog)
**Parents:** ⬆ Principle [`L1-386`](/artifact/l1/L1-386)

> **🎯 Tolerance (ε):** expression
> **⚖ Difficulty score:** 0.5 · **Delta tier:** 5
> **⛓ On-chain block:** 41555200

---

## 1. Domain Ω

**Type:** `range`

| Parameter | Unit | Range |
|---|---|---|
| M | — | 32 – 12288 |
| N | — | 256 – 16384 |
| K | — | 5 – 2000 |
| Sigma n | N | 0.001 – 0.1 |
| Coherence | — | 0.01 – 0.5 |
| Basis mismatch | — | 0.0 – 0.3 |

## 2. Tolerance (ε)

**Type:** `fn`

```
1e-3 * max(1, k / (M / (2 * log(N/k))))
```

## 3. Difficulty

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

## 4. Fingerprint

`b096fbd37af501c58aeb85a015f5a4144ad9bcbd79d7816430f3a71dce3f6c0c`

## 5. On-chain Registration

- **Chain hash:** `0xe6e221d591bd4bd80e1c38b1b2d3b85d94cfb88bdce280e8cd7e94a93ad249aa`
- **Chain tx hash:** `0x3dd19d982f1944a69c3136c90aa05ff0a77c847af5864778ed86b0fec183f6e6`
- **Chain block:** `41555200`

---

## File Mapping

This bundle consists of: `L2-386-001.md`, `L2-386-001.json`.

| File | Role | How to regenerate |
|------|------|-------------------|
| `L2-386-001.md` | Source of truth — edit this | Human or LLM |
| `L2-386-001.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 `L2-386-001`._
_Edit it, regenerate the JSON, and submit at [/submit](/submit) to claim the artifact._