# ☆  L3 Benchmark — T1_nominal

**ID:** `L3-317-001-001-T1` · **Status:** ⊙ Testnet (genesis catalog)
**Parents:** ⬆ Spec [`L2-317-001`](/artifact/l2/L2-317-001) · ⬆ Principle [`L1-317`](/artifact/l1/L1-317)

> **🏷 Type:** `fixed` · **Tier:** `T1` · **Quality:** `standard`
> **🎯 Threshold (ε):** `1.5`
> **📊 Baselines:** 3 reference solvers benchmarked
> **⛓ On-chain block:** 41554086

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## 🏷 1. Benchmark Profile

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

Phonon Dispersion Relations at rho=1.

## 2. Operating Point (Ω-tier)

| Parameter | Unit | Value |
|---|---|---|
| Q grid | — | 32 |
| N atoms | — | 2 |
| N neighbor shells | — | 5 |

## 3. Success Threshold (ε)

`ε = 1.5`

## 4. Baseline Solvers

| Name | Metric | Score | Q | SSIM | SAM° |
|---|---|---|---|---|---|
| Phonopy | — | 2.5 | 0.82 | — | — |
| DFPT-QE | — | 2.2 | 0.78 | — | — |
| PhononGNN | — | 1.6 | 0.92 | — | — |

## 5. Registration Metadata

| Property | Value |
|---|---|
| D ibench | 0.15 |
| Rho | 1 |
| Principle id | L1-317 |
| Spec id | L2-317-001 |

**Benchmark hash:** `18fe7bc79c34150c90334cace1c713f2f47e0434c1d55fa0fc14e6afeb442c9a`

## 6. On-chain Registration

- **Chain hash:** `0x7861f9b17d2fb0188e5838f5b6b15ae755a7fcbae21478f856938d22b547295d`
- **Chain tx hash:** `0x925e2b0e7c27c8df4e66494972659085d1670e713301f2261c4bbba942ba0e62`
- **Chain block:** `41554086`

---

## File Mapping

This bundle consists of: `L3-317-001-001-T1.md`, `L3-317-001-001-T1.json`.

| File | Role | How to regenerate |
|------|------|-------------------|
| `L3-317-001-001-T1.md` | Source of truth — edit this | Human or LLM |
| `L3-317-001-001-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 `L3-317-001-001-T1`._
_Edit it, regenerate the JSON, and submit at [/submit](/submit) to claim the artifact._