# 📐  L2 Spec — Oxygen Transport (Krogh Cylinder) — Nominal + Mismatch Specs

**ID:** `L2-411-001` · **Status:** ⊙ Testnet (genesis catalog)
**Parents:** ⬆ Principle [`L1-411`](/artifact/l1/L1-411)

> **🎯 Tolerance (ε):** expression
> **⚖ Difficulty score:** 0.25 · **Delta tier:** 5
> **⛓ On-chain block:** 41555222

---

## 1. Domain Ω

**Type:** `range`

| Parameter | Unit | Range |
|---|---|---|
| R t tissue um | µm | 10 – 200 |
| Q max mlo2 ml s | s | 0.0001 – 0.005 |
| Arterial po2 mmhg | — | 50 – 150 |
| Capillary radius um | µm | 2 – 20 |

## 2. Tolerance (ε)

**Type:** `fn`

```
3 + 2 * (Q_max_mlO2_ml_s / 0.0005) ** 0.3
```

## 3. Difficulty

| Property | Value |
|---|---|
| Difficulty score | 0.25 |
| Delta tier | 5 |

## 4. Fingerprint

`84685afcf039693c0d8dba680364f43cdccdd626353f33a19ca672c879c65483`

## 5. On-chain Registration

- **Chain hash:** `0x605947eab42050deacafef933f075097545e07aa70480838ba1137d1b3b8fc2e`
- **Chain tx hash:** `0x421c1e0f00e00f1283eee29044121563578be5fddb8f7ba148b3e68799293a3e`
- **Chain block:** `41555222`

---

## File Mapping

This bundle consists of: `L2-411-001.md`, `L2-411-001.json`.

| File | Role | How to regenerate |
|------|------|-------------------|
| `L2-411-001.md` | Source of truth — edit this | Human or LLM |
| `L2-411-001.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 `L2-411-001`._
_Edit it, regenerate the JSON, and submit at [/submit](/submit) to claim the artifact._