# 📐  L2 Spec — Kinetic Monte Carlo (KMC) Mismatch-Only Spec

**ID:** `L2-309-001` · **Status:** ⊙ Testnet (genesis catalog)
**Parents:** ⬆ Principle [`L1-309`](/artifact/l1/L1-309)

> **🎯 Tolerance (ε):** expression
> **⚖ Difficulty score:** 0.45 · **Delta tier:** 5
> **⛓ On-chain block:** 41554118

---

## 1. Domain Ω

**Type:** `range`

| Parameter | Unit | Range |
|---|---|---|
| T k | — | 100 – 3000 |
| N events | — | 1000 – 1000000000000.0 |
| N states | — | 10 – 1000000000.0 |
| N rates per state | — | 2 – 1000 |

## 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

`020e48571c8154d72dbeb11d814f375a2ab3948a8fc2876b4750cd1c727f3856`

## 5. On-chain Registration

- **Chain hash:** `0xe32ed8313aa5a5448b956408e69ab1f07614040cbe0e8645b54e6940ac9ea800`
- **Chain tx hash:** `0xf8af1f299cff7a48d4d4b0831760ed684589019ecbe9760752be1171ad3c1523`
- **Chain block:** `41554118`

---

## File Mapping

This bundle consists of: `L2-309-001.md`, `L2-309-001.json`.

| File | Role | How to regenerate |
|------|------|-------------------|
| `L2-309-001.md` | Source of truth — edit this | Human or LLM |
| `L2-309-001.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 `L2-309-001`._
_Edit it, regenerate the JSON, and submit at [/submit](/submit) to claim the artifact._