# 📐 L2 Spec — de Gennes-Doi-Edwards Reptation Theory Mismatch-Only Spec
**ID:** `L2-476-001` · **Status:** ⊙ Testnet (genesis catalog)
**Parents:** ⬆ Principle [`L1-476`](/artifact/l1/L1-476)
> **🎯 Tolerance (ε):** expression
> **⚖ Difficulty score:** 0.45 · **Delta tier:** 5
> **⛓ On-chain block:** 41555303
---
## 1. Domain Ω
**Type:** `range`
| Parameter | Unit | Range |
|---|---|---|
| Pdi | — | 1.01 – 3.0 |
| T c | — | -50 – 200 |
| M e kda | — | 0.5 – 50.0 |
| N over ne | — | 5 – 200 |
| Strain pct | — | 0.1 – 10.0 |
| Omega range decades | — | 3 – 10 |
## 2. Tolerance (ε)
**Type:** `fn`
```
0.04 + 0.01*(PDI-1.0) + 0.002*abs(T_C-25) + 0.01*noise_frac
```
## 3. Difficulty
| Property | Value |
|---|---|
| Difficulty score | 0.45 |
| Delta tier | 5 |
## 4. Fingerprint
`011e2143fd8c18b151ae15ebaed32294451b86eca17e6c896999d8bdcc3d38d9`
## 5. On-chain Registration
- **Chain hash:** `0x43c4e0ee3c404ed7fd430b47fc77073a7a6758fc5e94a56a9d93ab9f31b8d7bb`
- **Chain tx hash:** `0xe7440dc718d270648a03ee67b68ef1c19980b17ec6349885402c39c25b26adb4`
- **Chain block:** `41555303`
---
## File Mapping
This bundle consists of: `L2-476-001.md`, `L2-476-001.json`.
| File | Role | How to regenerate |
|------|------|-------------------|
| `L2-476-001.md` | Source of truth — edit this | Human or LLM |
| `L2-476-001.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 `L2-476-001`._
_Edit it, regenerate the JSON, and submit at [/submit](/submit) to claim the artifact._