# 📐  L2 Spec — Particle Filter (Sequential Monte Carlo) — Nominal + Mismatch Specs

**ID:** `L2-430-001` · **Status:** ⊙ Testnet (genesis catalog)
**Parents:** ⬆ Principle [`L1-430`](/artifact/l1/L1-430)

> **🎯 Tolerance (ε):** expression
> **⚖ Difficulty score:** 0.35 · **Delta tier:** 5
> **⛓ On-chain block:** 41555243

---

## 1. Domain Ω

**Type:** `range`

| Parameter | Unit | Range |
|---|---|---|
| N particles | — | 100 – 100000 |
| N state dim | — | 1 – 20 |
| N time steps | — | 10 – 1000 |
| Nonlinearity degree | — | 0.5 – 5.0 |

## 2. Tolerance (ε)

**Type:** `fn`

```
0.10 + 0.05 * (1000 / N_particles) ** 0.5
```

## 3. Difficulty

| Property | Value |
|---|---|
| Difficulty score | 0.35 |
| Delta tier | 5 |

## 4. Fingerprint

`5b74ff676bd76a054850819b7836a9c2e8a76564ff9cc694980064aa96f340d8`

## 5. On-chain Registration

- **Chain hash:** `0xe8e95fc234db3d94bb78c2a77b6e8ee9cb8c2e21d5cc0d4d1b4b430869729c55`
- **Chain tx hash:** `0x782f0b4692f7bffe37c0da9d1519ef4092ad8c4d27893e428937e0a9dc3c951d`
- **Chain block:** `41555243`

---

## File Mapping

This bundle consists of: `L2-430-001.md`, `L2-430-001.json`.

| File | Role | How to regenerate |
|------|------|-------------------|
| `L2-430-001.md` | Source of truth — edit this | Human or LLM |
| `L2-430-001.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 `L2-430-001`._
_Edit it, regenerate the JSON, and submit at [/submit](/submit) to claim the artifact._