# 📐  L2 Spec — CALPHAD Thermodynamic Modeling Mismatch-Only Spec

**ID:** `L2-329-001` · **Status:** ⊙ Testnet (genesis catalog)
**Parents:** ⬆ Principle [`L1-329`](/artifact/l1/L1-329)

> **🎯 Tolerance (ε):** expression
> **⚖ Difficulty score:** 0.45 · **Delta tier:** 5
> **⛓ On-chain block:** 41554131

---

## 1. Domain Ω

**Type:** `range`

| Parameter | Unit | Range |
|---|---|---|
| N phases | — | 2 – 20 |
| N components | — | 2 – 10 |
| T k range max | — | 1000 – 3000 |
| T k range min | — | 77 – 500 |
| Composition grid n | N | 20 – 500 |

## 2. Tolerance (ε)

**Type:** `fn`

```
0.03 * (1 + 0.1 * mismatch_severity)
```

## 3. Difficulty

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

## 4. Fingerprint

`3d77d67c746b0c370379228f6c8fa4370b08ee3290e041bce5e5da61b823c1b7`

## 5. On-chain Registration

- **Chain hash:** `0x38cc5d01ffed32ea3ea47b9b21243b3d9bb48880475dcc2e4c43b2b19eb228a8`
- **Chain tx hash:** `0x3e3639dbad840a836bf8d79dce3bc964830cb9475ac9fb714dcaf25b306a3174`
- **Chain block:** `41554131`

---

## File Mapping

This bundle consists of: `L2-329-001.md`, `L2-329-001.json`.

| File | Role | How to regenerate |
|------|------|-------------------|
| `L2-329-001.md` | Source of truth — edit this | Human or LLM |
| `L2-329-001.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 `L2-329-001`._
_Edit it, regenerate the JSON, and submit at [/submit](/submit) to claim the artifact._