# 📐 L2 Spec — Maxwell Full-Wave — time-domain 3D Maxwell equations Mismatch-Only Spec
**ID:** `L2-232-001` · **Status:** ⊙ Testnet (genesis catalog)
**Parents:** ⬆ Principle [`L1-232`](/artifact/l1/L1-232)
> **🎯 Tolerance (ε):** expression
> **⚖ Difficulty score:** 0.48 · **Delta tier:** 5
> **⛓ On-chain block:** 41553990
---
## 1. Domain Ω
**Type:** `range`
| Parameter | Unit | Range |
|---|---|---|
| H | px | 32 – 1024 |
| W | px | 32 – 1024 |
| Z | — | 32 – 1024 |
| Snr db | dB | 0 – 40 |
| N probes | — | 4 – 1024 |
| Mu error | — | 0.0 – 0.05 |
| N samples | — | 64 – 10000 |
| Eps error | — | 0.0 – 0.1 |
| Sigma error | — | 0.0 – 0.1 |
| Boundary pml error | — | 0.0 – 0.2 |
## 2. Tolerance (ε)
**Type:** `fn`
```
15.0 + 0.25*SNR_dB - 20.0*eps_error - 20.0*mu_error - 5.0*boundary_PML_error
```
## 3. Difficulty
| Property | Value |
|---|---|
| Difficulty score | 0.48 |
| Delta tier | 5 |
## 4. Fingerprint
`0a7320b2df48a05777489531f978e1200d41f57c730cd1e34642fc0ea3636193`
## 5. On-chain Registration
- **Chain hash:** `0xaf88dbbdeb1d2619e4d7c8e8b345f6cf66b85345455e1b28fff4f0c3ac0998d9`
- **Chain tx hash:** `0xab80bbf58dbc1a52a7da9b9c3185f4d23dcc55079451a3fe477174904b53c54a`
- **Chain block:** `41553990`
---
## File Mapping
This bundle consists of: `L2-232-001.md`, `L2-232-001.json`.
| File | Role | How to regenerate |
|------|------|-------------------|
| `L2-232-001.md` | Source of truth — edit this | Human or LLM |
| `L2-232-001.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 `L2-232-001`._
_Edit it, regenerate the JSON, and submit at [/submit](/submit) to claim the artifact._