L2 📐 L2-400-001 ⊙ Testnet

Hemodynamics (Navier-Stokes Cardiovascular) — Nominal + Mismatch Specs

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Layer template

⬇ spec.md ⬇ spec.json

Fork L2-400-001

⬇ L2-400-001.md ⬇ L2-400-001.json

Prompt — copy into your LLM

You are helping me submit a MODIFICATION of L2-400-001 (Hemodynamics (Navier-Stokes Cardiovascular) — Nominal + Mismatch Specs) to the PWM Protocol — a Digital Twin (L2) artifact.

I will paste a Markdown template (or the current L2-400-001.md).
1. Rewrite the Markdown so the science is correct and clearly explained for my change.
2. Regenerate the sibling L2-400-001.json so EVERY field matches the Markdown.
3. Keep the schema in the "File Mapping" footer at the bottom of the MD.
4. Keep the parent reference unchanged unless I ask otherwise.
Rules: the Markdown is the source of truth; use SI units; do NOT invent benchmark scores.
Output each file in its own fenced code block tagged with the filename.

Here is my template:
[PASTE THE .md HERE]

⚙ Forward Model

derived from principle L1-400

y = `O.chi2.4dflow_mri` `S.fsi.fluid_structure` ∇ x

world state x (3D velocity pressure field)

→

Spatial derivative ∇

→

S · fsi · fluid structure `S.fsi.fluid_structure`

→

O · chi2 · 4dflow mri `O.chi2.4dflow_mri`

→

observation y (N/A detector)

Noise: measurement gaussian

Markdown — human-readable source of truth

⚙ auto-generated

⬇ L2-400-001.md

# 📐 L2 Digital Twin — Hemodynamics (Navier-Stokes Cardiovascular) — Nominal + Mismatch Specs **ID:** `L2-400-001` · **Status:** ⊙ Testnet (genesis catalog) **Parents:** ⬆ Principle [`L1-400`](/artifact/l1/L1-400) > **🎯 Tolerance (ε):** expression > **⚖ Difficulty score:** 0.42 · **Delta tier:** 5 > **⛓ On-chain block:** 41555220 --- ## 1. Domain Ω **Type:** `range` | Parameter | Unit | Range | |---|---|---| | Re reynolds | — | 100 – 5000 | | Mri voxel mm | mm | 0.5 – 5.0 | | N mesh elements | — | 10000 – 5000000 | | Cardiac cycle s | s | 0.5 – 2.0 | ## 2. Tolerance (ε) **Type:** `fn` ``` 0.3 + 0.2 * (MRI_voxel_mm / 2.0) ** 0.5 ``` ## 3. Difficulty | Property | Value | |---|---| | Difficulty score | 0.42 | | Delta tier | 5 | ## 4. Fingerprint `d9a9e33a334d6b2f8ad3a394fe27e0d46ce6a1a8de921c022429fc8a8f586e4e` ## 5. On-chain Registration - **Chain hash:** `0xfd6c4f8558de534c43f76f42bf3c04b0e23f5ff0851e346c1b9b6ce14a1f0cc0` - **Chain tx hash:** `0x37f903b79eb15ea6a41cf698a4fac669042f96f622d35e525e3d0255507775d0` - **Chain block:** `41555220` --- ## File Mapping This bundle consists of: `L2-400-001.md`, `L2-400-001.json`. | File | Role | How to regenerate | |------|------|-------------------| | `L2-400-001.md` | Source of truth — edit this | Human or LLM | | `L2-400-001.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 `L2-400-001`._ _Edit it, regenerate the JSON, and submit at [/submit](/submit) to claim the artifact._

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⌥ Hierarchy

Upstream lineage and downstream children

↑ Upstream

L1 L1-400 Hemodynamics (Navier-Stokes Cardiovascular)

↓ L3 Benchmark 1 child ▾

L3-400-001-001-T1 T1_nominal

⬇ Download bundle

2 files · click to download

📋 JSON metadata

{
  "artifact_id": "L2-400-001",
  "chain_block": 41555220,
  "chain_hash": "0xfd6c4f8558de534c43f76f42bf3c04b0e23f5ff0851e346c1b9b6ce14a1f0cc0",
  "chain_tx_hash": "0x37f903b79eb15ea6a41cf698a4fac669042f96f622d35e525e3d0255507775d0",
  "delta_tier": 5,
  "difficulty_score": 0.42,
  "epsilon": {
    "expression": "0.3 + 0.2 * (MRI_voxel_mm / 2.0) ** 0.5",
    "type": "fn"
  },
  "fingerprint": "d9a9e33a334d6b2f8ad3a394fe27e0d46ce6a1a8de921c022429fc8a8f586e4e",
  "layer": "L2",
  "omega": {
    "dims": {
      "MRI_voxel_mm": [
        0.5,
        5.0
      ],
      "N_mesh_elements": [
        10000,
        5000000
      ],
      "Re_Reynolds": [
        100,
        5000
      ],
      "cardiac_cycle_s": [
        0.5,
        2.0
      ]
    },
    "type": "range"
  },
  "parent_l1": "L1-400",
  "status": "testnet",
  "submitted_by": "mainnet_mirror",
  "title": "Hemodynamics (Navier-Stokes Cardiovascular) \u2014 Nominal + Mismatch Specs"
}

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