# 📐 L2 Spec — Method of Moments (MoM) — integral-equation EM Mismatch-Only Spec
**ID:** `L2-235-001` · **Status:** ⊙ Testnet (genesis catalog)
**Parents:** ⬆ Principle [`L1-235`](/artifact/l1/L1-235)
> **🎯 Tolerance (ε):** expression
> **⚖ Difficulty score:** 0.48 · **Delta tier:** 5
> **⛓ On-chain block:** 41553990
---
## 1. Domain Ω
**Type:** `range`
| Parameter | Unit | Range |
|---|---|---|
| N mesh | — | 100 – 1000000 |
| Snr db | dB | 0 – 40 |
| N freqs | — | 1 – 256 |
| Bc error | — | 0.0 – 0.2 |
| N angles | — | 16 – 4096 |
| Mesh error | — | 0.0 – 0.1 |
| Material error | — | 0.0 – 0.1 |
## 2. Tolerance (ε)
**Type:** `fn`
```
17.0 + 0.3*SNR_dB - 30.0*mesh_error - 8.0*BC_error - 20.0*material_error
```
## 3. Difficulty
| Property | Value |
|---|---|
| Difficulty score | 0.48 |
| Delta tier | 5 |
## 4. Fingerprint
`1e4983e7028ddd797b01025bfc60ad1e45391e52024f96744fbd09f59e77530c`
## 5. On-chain Registration
- **Chain hash:** `0x238c186b5bdf1ffe52a3830689aa4925d62d90ff3fd94ae95cc3374a403ab012`
- **Chain tx hash:** `0xbcada3cfc1137eaa3c93214bfb7b989ece97dbd533aba4b9cdaabe9c56e2b586`
- **Chain block:** `41553990`
---
## File Mapping
This bundle consists of: `L2-235-001.md`, `L2-235-001.json`.
| File | Role | How to regenerate |
|------|------|-------------------|
| `L2-235-001.md` | Source of truth — edit this | Human or LLM |
| `L2-235-001.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 `L2-235-001`._
_Edit it, regenerate the JSON, and submit at [/submit](/submit) to claim the artifact._