# 📐  L2 Spec — Phylogenetic Likelihood Inference — Nominal + Mismatch Specs

**ID:** `L2-409-001` · **Status:** ⊙ Testnet (genesis catalog)
**Parents:** ⬆ Principle [`L1-409`](/artifact/l1/L1-409)

> **🎯 Tolerance (ε):** expression
> **⚖ Difficulty score:** 0.42 · **Delta tier:** 5
> **⛓ On-chain block:** 41555222

---

## 1. Domain Ω

**Type:** `range`

| Parameter | Unit | Range |
|---|---|---|
| N taxa | — | 4 – 10000 |
| N sites | — | 100 – 100000 |
| Divergence time my | — | 1 – 1000 |
| Mutation rate per site yr | — | 1e-10 – 1e-07 |

## 2. Tolerance (ε)

**Type:** `fn`

```
3 + 2 * (50 / N_taxa) ** 0.3
```

## 3. Difficulty

| Property | Value |
|---|---|
| Difficulty score | 0.42 |
| Delta tier | 5 |

## 4. Fingerprint

`175b4cb20730f5070e2381c398188b34806edea86e8cecfe818e1f86a499680c`

## 5. On-chain Registration

- **Chain hash:** `0x32edaf339d0537bf0c76b3a052a87ff602f4069d0e15c44a604b027650fcab05`
- **Chain tx hash:** `0xf67b37c225b018349e372b9674f3f5a3d126a37e3ca07583ac94a74d30efbc1a`
- **Chain block:** `41555222`

---

## File Mapping

This bundle consists of: `L2-409-001.md`, `L2-409-001.json`.

| File | Role | How to regenerate |
|------|------|-------------------|
| `L2-409-001.md` | Source of truth — edit this | Human or LLM |
| `L2-409-001.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 `L2-409-001`._
_Edit it, regenerate the JSON, and submit at [/submit](/submit) to claim the artifact._