# 📐  L2 Spec — Electrostatics — Poisson equation inversion Mismatch-Only Spec

**ID:** `L2-250-001` · **Status:** ⊙ Testnet (genesis catalog)
**Parents:** ⬆ Principle [`L1-250`](/artifact/l1/L1-250)

> **🎯 Tolerance (ε):** expression
> **⚖ Difficulty score:** 0.48 · **Delta tier:** 5
> **⛓ On-chain block:** 41554002

---

## 1. Domain Ω

**Type:** `range`

| Parameter | Unit | Range |
|---|---|---|
| H | px | 32 – 1024 |
| W | px | 32 – 1024 |
| Z | — | 8 – 512 |
| Snr db | dB | 0 – 40 |
| N probes | — | 4 – 4096 |
| Eps r error | — | 0.0 – 0.1 |
| Boundary error | — | 0.0 – 0.2 |
| Sensor pos error | — | 0.0 – 0.02 |

## 2. Tolerance (ε)

**Type:** `fn`

```
19.0 + 0.3*SNR_dB - 20.0*eps_r_error - 10.0*boundary_error - 15.0*sensor_pos_error
```

## 3. Difficulty

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

## 4. Fingerprint

`c49110f99f77ae8d6e23a6c4db8c28f113e052284964f20e37edf14ce3c5893b`

## 5. On-chain Registration

- **Chain hash:** `0x5a896db53ad5cc61c8000f3d29cefc9546bd7896608fba3754681aaed367df80`
- **Chain tx hash:** `0x62dc92f02c3bdaae3e8e16053c02af224aaba02b84df589e127e504ab4b80d36`
- **Chain block:** `41554002`

---

## File Mapping

This bundle consists of: `L2-250-001.md`, `L2-250-001.json`.

| File | Role | How to regenerate |
|------|------|-------------------|
| `L2-250-001.md` | Source of truth — edit this | Human or LLM |
| `L2-250-001.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 `L2-250-001`._
_Edit it, regenerate the JSON, and submit at [/submit](/submit) to claim the artifact._