# ☆  L3 Benchmark — T1_nominal

**ID:** `L3-499-001-001-T1` · **Status:** ⊙ Testnet (genesis catalog)
**Parents:** ⬆ Spec [`L2-499-001`](/artifact/l2/L2-499-001) · ⬆ Principle [`L1-499`](/artifact/l1/L1-499)

> **🏷 Type:** `fixed` · **Tier:** `T1` · **Quality:** `standard`
> **🎯 Threshold (ε):** `0.3`
> **📊 Baselines:** 2 reference solvers benchmarked
> **⛓ On-chain block:** 41555323

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## 🏷 1. Benchmark Profile

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

Standard Optimization conditions, clean data, calibrated model.

## 2. Operating Point (Ω-tier)

| Parameter | Unit | Value |
|---|---|---|
| Step size dt | — | 0.1 |
| N control pts | — | 50 |
| Regularization alpha | — | 0.01 |
| Mesh quality degradation | — | 0 |
| Adjoint discretization error | — | 0 |
| Boundary parameterization error | — | 0 |

## 3. Success Threshold (ε)

`ε = 0.3`

## 4. Baseline Solvers

| Name | Metric | Score | Q | SSIM | SAM° |
|---|---|---|---|---|---|
| steepest_descent | objective_reduction_ratio | 0.28 | 0.75 | — | — |
| conjugate_gradient | objective_reduction_ratio | 0.35 | 0.93 | — | — |

## 5. Registration Metadata

| Property | Value |
|---|---|
| D ibench | 0.15 |
| Rho | 1 |
| Principle id | L1-499 |
| Spec id | L2-499-001 |

**Benchmark hash:** `75e85c09d7eab724943654d77d6c4f8c0178ba1acb5f0761db150b4f1d2cfe3b`

## 6. On-chain Registration

- **Chain hash:** `0x897a6fef9501cd2b837529d7ad1684d8610213cff734b3e4f39f3107fe0a4a96`
- **Chain tx hash:** `0xe7537edbace000389f2c060b0cc55fd3c84e9cac7965a776ba7d24d0bacb13c8`
- **Chain block:** `41555323`

---

## File Mapping

This bundle consists of: `L3-499-001-001-T1.md`, `L3-499-001-001-T1.json`.

| File | Role | How to regenerate |
|------|------|-------------------|
| `L3-499-001-001-T1.md` | Source of truth — edit this | Human or LLM |
| `L3-499-001-001-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 `L3-499-001-001-T1`._
_Edit it, regenerate the JSON, and submit at [/submit](/submit) to claim the artifact._