# 📐 L2 Spec — Euler-Bernoulli Beam — thin-beam bending Mismatch-Only Spec
**ID:** `L2-208-001` · **Status:** ⊙ Testnet (genesis catalog)
**Parents:** ⬆ Principle [`L1-208`](/artifact/l1/L1-208)
> **🎯 Tolerance (ε):** expression
> **⚖ Difficulty score:** 0.48 · **Delta tier:** 5
> **⛓ On-chain block:** 41554012
---
## 1. Domain Ω
**Type:** `range`
| Parameter | Unit | Range |
|---|---|---|
| Snr db | dB | 0 – 40 |
| Ei error | — | 0.0 – 0.1 |
| Bc error | — | 0.0 – 0.2 |
| N sensors | — | 2 – 256 |
| N elements | — | 5 – 10000 |
| Load error | — | 0.0 – 0.1 |
## 2. Tolerance (ε)
**Type:** `fn`
```
22.0 + 0.3*SNR_dB - 40.0*EI_error - 10.0*bc_error - 20.0*load_error
```
## 3. Difficulty
| Property | Value |
|---|---|
| Difficulty score | 0.48 |
| Delta tier | 5 |
## 4. Fingerprint
`c6972ea35bf3fd69778ced37ef25f6dadf3a3a4cc593284bdf9c82993b0abb63`
## 5. On-chain Registration
- **Chain hash:** `0x512013bfcc448b8c2b802e9179b4d010a835b3a2be58c99e750bb27be41c9d39`
- **Chain tx hash:** `0x329cd6b6c34ae812f60ce5e212ede1b8309f1739d43da4f969b2a30ae1371223`
- **Chain block:** `41554012`
---
## File Mapping
This bundle consists of: `L2-208-001.md`, `L2-208-001.json`.
| File | Role | How to regenerate |
|------|------|-------------------|
| `L2-208-001.md` | Source of truth — edit this | Human or LLM |
| `L2-208-001.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 `L2-208-001`._
_Edit it, regenerate the JSON, and submit at [/submit](/submit) to claim the artifact._