# 📐  L2 Spec — BSS Instantaneous-Mixing Spec (ICA benchmark family)

**ID:** `L2-388-001` · **Status:** ⊙ Testnet (genesis catalog)
**Parents:** ⬆ Principle [`L1-388`](/artifact/l1/L1-388)

> **🎯 Tolerance (ε):** expression
> **⚖ Difficulty score:** 0.55 · **Delta tier:** 5
> **⛓ On-chain block:** 41555201

---

## 1. Domain Ω

**Type:** `range`

| Parameter | Unit | Range |
|---|---|---|
| M | — | 2 – 20 |
| N | — | 2 – 20 |
| T | — | 500 – 200000 |
| Snr db | dB | -10 – 40 |
| Kappa a | — | 1 – 1000 |
| Gaussianity | — | 0.0 – 1.0 |
| Non stationarity | — | 0.0 – 1.0 |
| Reverberation ms | ms | 0 – 500 |

## 2. Tolerance (ε)

**Type:** `fn`

```
20.0 + 5.0 * log10(T/10000) - 2.0 * log10(kappa_A) - 20.0 * gaussianity
```

## 3. Difficulty

| Property | Value |
|---|---|
| Difficulty score | 0.55 |
| Delta tier | 5 |

## 4. Fingerprint

`292b48923c5e5e8dd74233a7b4d4f58f28f28bc5b69ca033ca955cb9a81b9836`

## 5. On-chain Registration

- **Chain hash:** `0xf96e8160cd03d68be74aeff461523190a0252e8c3021b02bd56b756023782e85`
- **Chain tx hash:** `0x9ebfebfae6a7c959be5fe745a204392f263ae59359d43729c751953519e84ddf`
- **Chain block:** `41555201`

---

## File Mapping

This bundle consists of: `L2-388-001.md`, `L2-388-001.json`.

| File | Role | How to regenerate |
|------|------|-------------------|
| `L2-388-001.md` | Source of truth — edit this | Human or LLM |
| `L2-388-001.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 `L2-388-001`._
_Edit it, regenerate the JSON, and submit at [/submit](/submit) to claim the artifact._