# 📐  L2 Spec — SIR Epidemic Parameter Estimation — Nominal + Mismatch Specs

**ID:** `L2-405-001` · **Status:** ⊙ Testnet (genesis catalog)
**Parents:** ⬆ Principle [`L1-405`](/artifact/l1/L1-405)

> **🎯 Tolerance (ε):** expression
> **⚖ Difficulty score:** 0.28 · **Delta tier:** 5
> **⛓ On-chain block:** 41555221

---

## 1. Domain Ω

**Type:** `range`

| Parameter | Unit | Range |
|---|---|---|
| R0 true | — | 1.0 – 10.0 |
| Detection rate | — | 0.05 – 1.0 |
| N incidence days | — | 10 – 500 |
| Overdispersion k | — | 1 – 100 |

## 2. Tolerance (ε)

**Type:** `fn`

```
0.1 + 0.1 * (0.5 / detection_rate) ** 0.5
```

## 3. Difficulty

| Property | Value |
|---|---|
| Difficulty score | 0.28 |
| Delta tier | 5 |

## 4. Fingerprint

`f739d39469cc547b66af9a99902d8f03ae8c30b3f55c62605321af67520832a9`

## 5. On-chain Registration

- **Chain hash:** `0xca5122571d13c78f5aace909725b63b97e7ac100efb04bd449c6942f50181e25`
- **Chain tx hash:** `0x82555f3de4271a3d930b90a93180fb5daeb3c5d0815f6554a749ccfec6952a32`
- **Chain block:** `41555221`

---

## File Mapping

This bundle consists of: `L2-405-001.md`, `L2-405-001.json`.

| File | Role | How to regenerate |
|------|------|-------------------|
| `L2-405-001.md` | Source of truth — edit this | Human or LLM |
| `L2-405-001.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 `L2-405-001`._
_Edit it, regenerate the JSON, and submit at [/submit](/submit) to claim the artifact._