# 📐  L2 Spec — Acoustic Wave Equation — time-domain pressure field reconstruction Mismatch-Only Spec

**ID:** `L2-257-001` · **Status:** ⊙ Testnet (genesis catalog)
**Parents:** ⬆ Principle [`L1-257`](/artifact/l1/L1-257)

> **🎯 Tolerance (ε):** expression
> **⚖ Difficulty score:** 0.48 · **Delta tier:** 5
> **⛓ On-chain block:** 41554039

---

## 1. Domain Ω

**Type:** `range`

| Parameter | Unit | Range |
|---|---|---|
| H | px | 64 – 512 |
| W | px | 64 – 512 |
| Z | — | 32 – 256 |
| Snr db | dB | 0 – 40 |
| Fs khz | kHz | 10 – 1000 |
| C error | — | 0.0 – 0.1 |
| N samples | — | 128 – 4096 |
| Rho error | — | 0.0 – 0.1 |
| N receivers | — | 16 – 512 |
| Receiver pos error | — | 0.0 – 0.02 |
| Boundary reflectivity | — | 0.0 – 0.5 |

## 2. Tolerance (ε)

**Type:** `fn`

```
20.0 + 2.0*log2(N_receivers/16) + 0.3*SNR_dB - 40.0*c_error - 10.0*receiver_pos_error
```

## 3. Difficulty

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

## 4. Fingerprint

`349016e0fdf5a58c7968f4be84862e16e32932026f478fad850adce9e64a57bb`

## 5. On-chain Registration

- **Chain hash:** `0xcfc9595887c643364854709e7cfd401ec7d8ee90262f56d55fceb65136bf57dc`
- **Chain tx hash:** `0x6befeb893d561da5b4240460d5f2fe2df75af2a5942a1643c8a487b8db5b7475`
- **Chain block:** `41554039`

---

## File Mapping

This bundle consists of: `L2-257-001.md`, `L2-257-001.json`.

| File | Role | How to regenerate |
|------|------|-------------------|
| `L2-257-001.md` | Source of truth — edit this | Human or LLM |
| `L2-257-001.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 `L2-257-001`._
_Edit it, regenerate the JSON, and submit at [/submit](/submit) to claim the artifact._