# 📐  L2 Spec — Time-Independent Schrödinger Equation Mismatch-Only Spec

**ID:** `L2-312-001` · **Status:** ⊙ Testnet (genesis catalog)
**Parents:** ⬆ Principle [`L1-312`](/artifact/l1/L1-312)

> **🎯 Tolerance (ε):** expression
> **⚖ Difficulty score:** 0.45 · **Delta tier:** 5
> **⛓ On-chain block:** 41554082

---

## 1. Domain Ω

**Type:** `range`

| Parameter | Unit | Range |
|---|---|---|
| N basis | — | 100 – 100000 |
| N eigen | — | 1 – 1000 |
| Box size a | — | 1 – 1000 |
| Potential type | — | harmonic, coulomb, square_well, double_well |

## 2. Tolerance (ε)

**Type:** `fn`

```
0.01 * (1 + 0.1 * mismatch_severity)
```

## 3. Difficulty

| Property | Value |
|---|---|
| Difficulty score | 0.45 |
| Delta tier | 5 |

## 4. Fingerprint

`e5fa257e19f220cc574670b9a69be4c8093d5fefc6757be02eb60e6f9d0ed847`

## 5. On-chain Registration

- **Chain hash:** `0xdfc6bae93cb84ef5dfc19480e66ef19e217b8e2485f843eb8e9bf4c15cce0420`
- **Chain tx hash:** `0x214a262109e01b8577d75741d98f4a9e029cb847e1a71b86e852540a9ba69382`
- **Chain block:** `41554082`

---

## File Mapping

This bundle consists of: `L2-312-001.md`, `L2-312-001.json`.

| File | Role | How to regenerate |
|------|------|-------------------|
| `L2-312-001.md` | Source of truth — edit this | Human or LLM |
| `L2-312-001.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 `L2-312-001`._
_Edit it, regenerate the JSON, and submit at [/submit](/submit) to claim the artifact._