# ☆  L3 Benchmark — T1_nominal

**ID:** `L3-432-001-001-T1` · **Status:** ⊙ Testnet (genesis catalog)
**Parents:** ⬆ Spec [`L2-432-001`](/artifact/l2/L2-432-001) · ⬆ Principle [`L1-432`](/artifact/l1/L1-432)

> **🏷 Type:** `fixed` · **Tier:** `T1` · **Quality:** `standard`
> **🎯 Threshold (ε):** `1.05`
> **📊 Baselines:** 2 reference solvers benchmarked
> **⛓ On-chain block:** 41555264

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## 🏷 1. Benchmark Profile

**Type:** `fixed` · **Tier:** `T1` · **Quality:** `standard`

Standard Control Theory conditions, clean data, calibrated model.

## 2. Operating Point (Ω-tier)

| Parameter | Unit | Value |
|---|---|---|
| Q r ratio | — | 1 |
| N inputs m | m | 1 |
| Q r mistuning | — | 0 |
| System order n | N | 4 |
| Spectral radius a | — | 0.9 |
| Actuator saturation | — | 0 |
| Model uncertainty a b | — | 0 |

## 3. Success Threshold (ε)

`ε = 1.05`

## 4. Baseline Solvers

| Name | Metric | Score | Q | SSIM | SAM° |
|---|---|---|---|---|---|
| LQR_Riccati_analytic | closed_loop_performance_index | 1.0 | 0.76 | — | — |
| LQR_value_iteration | closed_loop_performance_index | 1.02 | 0.78 | — | — |

## 5. Registration Metadata

| Property | Value |
|---|---|
| D ibench | 0.15 |
| Rho | 1 |
| Principle id | L1-432 |
| Spec id | L2-432-001 |

**Benchmark hash:** `38ca5c3c0496d84282871c089ff01a06a098db8f3ded921e8b0b2305183d44a4`

## 6. On-chain Registration

- **Chain hash:** `0xcc30b10b147d6ac46720e48302f6fe60b04233950a54d8b2b9ebaf041621b88b`
- **Chain tx hash:** `0x209cf2aad42a1a9f8bb16b3eccfd5805634d130c79ed9e343c0c89fb6085e9f6`
- **Chain block:** `41555264`

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## File Mapping

This bundle consists of: `L3-432-001-001-T1.md`, `L3-432-001-001-T1.json`.

| File | Role | How to regenerate |
|------|------|-------------------|
| `L3-432-001-001-T1.md` | Source of truth — edit this | Human or LLM |
| `L3-432-001-001-T1.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 `L3-432-001-001-T1`._
_Edit it, regenerate the JSON, and submit at [/submit](/submit) to claim the artifact._