# 📐  L2 Spec — Linear Buckling — eigenvalue stability analysis Mismatch-Only Spec

**ID:** `L2-214-001` · **Status:** ⊙ Testnet (genesis catalog)
**Parents:** ⬆ Principle [`L1-214`](/artifact/l1/L1-214)

> **🎯 Tolerance (ε):** expression
> **⚖ Difficulty score:** 0.48 · **Delta tier:** 5
> **⛓ On-chain block:** 41554014

---

## 1. Domain Ω

**Type:** `range`

| Parameter | Unit | Range |
|---|---|---|
| N dof | — | 100 – 500000 |
| Snr db | dB | 0 – 40 |
| N modes | — | 1 – 50 |
| Bc error | — | 0.0 – 0.2 |
| Material error | — | 0.0 – 0.1 |
| Load path error | — | 0.0 – 0.1 |
| Geom imperfect error | — | 0.0 – 0.1 |

## 2. Tolerance (ε)

**Type:** `fn`

```
2.0 + 30.0*geom_imperfect_error + 20.0*material_error + 10.0*bc_error + 10.0*load_path_error
```

## 3. Difficulty

| Property | Value |
|---|---|
| Difficulty score | 0.48 |
| Delta tier | 5 |

## 4. Fingerprint

`816902ad4c27458564259933246eb509d46d8022c83a46ef17c3eec81e5b6b4f`

## 5. On-chain Registration

- **Chain hash:** `0x1214e8d07c716a71fadd6a0f49a1f4143e73c4736fef7e496d30bee084866ab3`
- **Chain tx hash:** `0x056de1272928fa41bee92bacaf726d0c5e3c2bca2c9942cfec63755edd3f2006`
- **Chain block:** `41554014`

---

## File Mapping

This bundle consists of: `L2-214-001.md`, `L2-214-001.json`.

| File | Role | How to regenerate |
|------|------|-------------------|
| `L2-214-001.md` | Source of truth — edit this | Human or LLM |
| `L2-214-001.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 `L2-214-001`._
_Edit it, regenerate the JSON, and submit at [/submit](/submit) to claim the artifact._