L2 📐 L2-504-001 ⊙ Testnet

Quantitative Photoacoustic Tomography (qPAT) — Spec Skeleton

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⬇ spec.md ⬇ spec.json

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⬇ L2-504-001.md ⬇ L2-504-001.json

Prompt — copy into your LLM

You are helping me submit a MODIFICATION of L2-504-001 (Quantitative Photoacoustic Tomography (qPAT) — Spec Skeleton) to the PWM Protocol — a Digital Twin (L2) artifact.

I will paste a Markdown template (or the current L2-504-001.md).
1. Rewrite the Markdown so the science is correct and clearly explained for my change.
2. Regenerate the sibling L2-504-001.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 L1-504

y = Σ_λ ∫_t dt `L.transducer_detection` `L.acoustic_wave_propagation` `L.thermoelastic_grueneisen` exp(-∫µ dl) `L.optical_diffusion` `L.optical_source` x + n,    n ~ 𝒩(0, σ²)

world state x (3D spectral chromophore quantitative)

→

L · optical source `L.optical_source`

→

L · optical diffusion `L.optical_diffusion`

→

Beer-Lambert attenuation exp(-∫µ dl)

→

L · thermoelastic grueneisen `L.thermoelastic_grueneisen`

→

L · acoustic wave propagation `L.acoustic_wave_propagation`

→

L · transducer detection `L.transducer_detection`

→

Temporal integration ∫_t dt

→

Spectral integration Σ_λ

→

observation y (photon to acoustic detector)

Noise: additive Gaussian noise

Markdown — human-readable source of truth

⚙ auto-generated

⬇ L2-504-001.md

# 📐 L2 Digital Twin — Quantitative Photoacoustic Tomography (qPAT) — Spec Skeleton **ID:** `L2-504-001` · **Status:** ⊙ Testnet (genesis catalog) **Parents:** ⬆ Principle [`L1-504`](/artifact/l1/L1-504) > **🎯 Tolerance (ε):** expression > **⚖ Difficulty score:** 0.5 · **Delta tier:** 5 > **⛓ On-chain block:** 41553376 --- ## 1. Domain Ω **Type:** `range` | Parameter | Unit | Range | |---|---|---| | H | px | 128 – 512 | | W | px | 128 – 512 | | Z | — | 32 – 256 | | Snr db | dB | 5.0 – 40.0 | | N wavelengths | — | 2 – 16 | | Voxel size mm | mm | 0.05 – 1.0 | | Lambda range nm | nm | 600 – 1100 | | Speed of sound mps | — | 1400.0 – 1600.0 | | Gruneisen uncertainty | — | 0.0 – 0.3 | | Mu s prime uncertainty | — | 0.0 – 0.3 | | Transducer bandwidth mhz | MHz | 1.0 – 30.0 | | Transducer position error | — | 0.0 – 0.2 | | Background absorption drift | — | 0.0 – 0.2 | | Light fluence inhomogeneity | — | 0.0 – 0.4 | | Acoustic speed heterogeneity | — | 0.0 – 0.1 | ## 2. Tolerance (ε) **Type:** `fn` ``` 26.0 ``` ## 3. Difficulty | Property | Value | |---|---| | Difficulty score | 0.5 | | Delta tier | 5 | ## 4. Fingerprint `a5832a0704e555ab0cef6c3d4a33b48f23fa0bfc38e6c8139321ae0068ee9aed` ## 5. On-chain Registration - **Chain hash:** `0x67f113d4941b04839f98f5724025f1bfe93760fbf72c79f62c14eaa4b5626bc9` - **Chain tx hash:** `0x3c142239e294ccafb3e101adaa33a70f9acd779569a82853c2da3e522d68a5be` - **Chain block:** `41553376` --- ## File Mapping This bundle consists of: `L2-504-001.md`, `L2-504-001.json`. | File | Role | How to regenerate | |------|------|-------------------| | `L2-504-001.md` | Source of truth — edit this | Human or LLM | | `L2-504-001.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 `L2-504-001`._ _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 L1-504 Quantitative Photoacoustic Tomography (qPAT)

↓ L3 Benchmark 1 child ▾

L3-504-001-001-T1 T1_nominal

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📋 JSON metadata

{
  "artifact_id": "L2-504-001",
  "chain_block": 41553376,
  "chain_hash": "0x67f113d4941b04839f98f5724025f1bfe93760fbf72c79f62c14eaa4b5626bc9",
  "chain_tx_hash": "0x3c142239e294ccafb3e101adaa33a70f9acd779569a82853c2da3e522d68a5be",
  "delta_tier": 5,
  "difficulty_score": 0.5,
  "epsilon": {
    "expression": "26.0",
    "type": "fn"
  },
  "fingerprint": "a5832a0704e555ab0cef6c3d4a33b48f23fa0bfc38e6c8139321ae0068ee9aed",
  "layer": "L2",
  "omega": {
    "dims": {
      "H": [
        128,
        512
      ],
      "N_wavelengths": [
        2,
        16
      ],
      "SNR_dB": [
        5.0,
        40.0
      ],
      "W": [
        128,
        512
      ],
      "Z": [
        32,
        256
      ],
      "acoustic_speed_heterogeneity": [
        0.0,
        0.1
      ],
      "background_absorption_drift": [
        0.0,
        0.2
      ],
      "gruneisen_uncertainty": [
        0.0,
        0.3
      ],
      "lambda_range_nm": [
        600,
        1100
      ],
      "light_fluence_inhomogeneity": [
        0.0,
        0.4
      ],
      "mu_s_prime_uncertainty": [
        0.0,
        0.3
      ],
      "speed_of_sound_mps": [
        1400.0,
        1600.0
      ],
      "transducer_bandwidth_MHz": [
        1.0,
        30.0
      ],
      "transducer_position_error": [
        0.0,
        0.2
      ],
      "voxel_size_mm": [
        0.05,
        1.0
      ]
    },
    "type": "range"
  },
  "parent_l1": "L1-504",
  "status": "testnet",
  "submitted_by": "mainnet_mirror",
  "title": "Quantitative Photoacoustic Tomography (qPAT) \u2014 Spec Skeleton"
}

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