# 📐  L2 Spec — Grad-Shafranov — tokamak equilibrium Mismatch-Only Spec

**ID:** `L2-348-001` · **Status:** ⊙ Testnet (genesis catalog)
**Parents:** ⬆ Principle [`L1-348`](/artifact/l1/L1-348)

> **🎯 Tolerance (ε):** expression
> **⚖ Difficulty score:** 0.48 · **Delta tier:** 5
> **⛓ On-chain block:** 41554099

---

## 1. Domain Ω

**Type:** `range`

| Parameter | Unit | Range |
|---|---|---|
| N r | — | 32 – 1024 |
| N z | — | 32 – 1024 |
| Snr db | dB | 0 – 40 |
| N magnetics | — | 8 – 1024 |
| Boundary error | — | 0.0 – 0.2 |
| Current prior error | — | 0.0 – 0.2 |
| Pressure prior error | — | 0.0 – 0.2 |

## 2. Tolerance (ε)

**Type:** `fn`

```
19.0 + 0.3*SNR_dB - 20.0*pressure_prior_error - 20.0*current_prior_error - 10.0*boundary_error
```

## 3. Difficulty

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

## 4. Fingerprint

`5b63e3578ccebd903b465a6fe2941bb93e5e9ffede6d15962571088577199d27`

## 5. On-chain Registration

- **Chain hash:** `0x99215a042d05a2386b28a4fbd81f84aee228f2f14e228233af876c30ecd4064d`
- **Chain tx hash:** `0xba5bdac05e850aaba0df8332a5fefc9c8c423f44281c0872e0f6c2c136249386`
- **Chain block:** `41554099`

---

## File Mapping

This bundle consists of: `L2-348-001.md`, `L2-348-001.json`.

| File | Role | How to regenerate |
|------|------|-------------------|
| `L2-348-001.md` | Source of truth — edit this | Human or LLM |
| `L2-348-001.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 `L2-348-001`._
_Edit it, regenerate the JSON, and submit at [/submit](/submit) to claim the artifact._