# 📐 L2 Spec — LIBS Elemental-Mapping Spec (matrix-effect mismatch family)
**ID:** `L2-141-001` · **Status:** ⊙ Testnet (genesis catalog)
**Parents:** ⬆ Principle [`L1-141`](/artifact/l1/L1-141)
> **🎯 Tolerance (ε):** expression
> **⚖ Difficulty score:** 0.6 · **Delta tier:** 5
> **⛓ On-chain block:** 41554230
---
## 1. Domain Ω
**Type:** `range`
| Parameter | Unit | Range |
|---|---|---|
| H | px | 32 – 2048 |
| K | — | 1 – 30 |
| W | px | 32 – 2048 |
| E p mj | — | 5 – 500 |
| Gate us | µs | 0.1 – 100 |
| N lambda | — | 512 – 16384 |
| Delay us | µs | 0.1 – 100 |
| Matrix effects | — | 0.0 – 0.3 |
| Self absorption | — | 0.0 – 0.5 |
| Plasma temp drift | — | 0.0 – 0.3 |
| Shot to shot variability | — | 0.0 – 0.3 |
## 2. Tolerance (ε)
**Type:** `fn`
```
0.02 + 0.1 * self_absorption + 0.2 * matrix_effects + 0.15 * plasma_temp_drift + 0.1 * shot_to_shot_variability
```
## 3. Difficulty
| Property | Value |
|---|---|
| Difficulty score | 0.6 |
| Delta tier | 5 |
## 4. Fingerprint
`6d52d4d367b9a40f4a286d28c7c93a53d3b7b3bd9a8cc67c1fc211ca5d8590a6`
## 5. On-chain Registration
- **Chain hash:** `0x0dd6d2a4317d3798927f2f90a1b8f976a80b312dce40d7e2868733f9c6ab06dc`
- **Chain tx hash:** `0xa0f19ddc4f2ba22368a9801e8837abdfa9711169d553f9521cb5a4f573d8acf3`
- **Chain block:** `41554230`
---
## File Mapping
This bundle consists of: `L2-141-001.md`, `L2-141-001.json`.
| File | Role | How to regenerate |
|------|------|-------------------|
| `L2-141-001.md` | Source of truth — edit this | Human or LLM |
| `L2-141-001.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 `L2-141-001`._
_Edit it, regenerate the JSON, and submit at [/submit](/submit) to claim the artifact._