# 📐  L2 Spec — Density Matrix Renormalization Group (DMRG) Mismatch-Only Spec

**ID:** `L2-322-001` · **Status:** ⊙ Testnet (genesis catalog)
**Parents:** ⬆ Principle [`L1-322`](/artifact/l1/L1-322)

> **🎯 Tolerance (ε):** expression
> **⚖ Difficulty score:** 0.45 · **Delta tier:** 5
> **⛓ On-chain block:** 41554084

---

## 1. Domain Ω

**Type:** `range`

| Parameter | Unit | Range |
|---|---|---|
| L sites | — | 10 – 10000 |
| N sweeps | — | 5 – 200 |
| Bond dim m | m | 20 – 10000 |

## 2. Tolerance (ε)

**Type:** `fn`

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

## 3. Difficulty

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

## 4. Fingerprint

`636ca1540bbb2dbec472198cc99a79ebda4a87f653546e95a8865f041fbb55c2`

## 5. On-chain Registration

- **Chain hash:** `0xa618833eb852dc9f0af519773483055ca8fcc97e5957cb3406965d1a64a58be3`
- **Chain tx hash:** `0x08c3b0f7502774bc1a01cdca24832d82061c4814fe94d6b13c155da447542a35`
- **Chain block:** `41554084`

---

## File Mapping

This bundle consists of: `L2-322-001.md`, `L2-322-001.json`.

| File | Role | How to regenerate |
|------|------|-------------------|
| `L2-322-001.md` | Source of truth — edit this | Human or LLM |
| `L2-322-001.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 `L2-322-001`._
_Edit it, regenerate the JSON, and submit at [/submit](/submit) to claim the artifact._