L1 ⚛ L1-131 ⊙ Testnet

Proton Radiography & CT (pRad, pCT)

Scientific Instrumentation · Proton transmission imaging for materials and medicine

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⬇ L1-131.md

# ⚛ L1 Principle — Proton Radiography & CT (pRad, pCT) **ID:** `L1-131` · **Status:** ⊙ Testnet (genesis catalog) > **🌐 Domain:** Scientific Instrumentation — *Proton transmission imaging for materials and medicine* > **🎯 Problem class:** linear tomographic inverse · **🧮 Solution space:** rsp map > **📡 Carrier:** proton · **🌫 Noise:** shot poisson plus MCS > **⚖ Difficulty (δ):** 5 · **⛓ Block:** 41554214 --- ## 🧠 1. Introduction **Proton Radiography & CT (pRad, pCT)** is a **linear tomographic reconstruction** whose unknown lives in **rsp map** space, within the **Proton transmission imaging for materials and medicine** sub-domain of **Scientific Instrumentation**. Measurements consist of protons in a particle imaging system via a **energy loss scatter** sensing mechanism. The forward operator applies, in order: L · scatter · MCS operator; L · eloss · BetheBloch operator; L · project · MLP operator; pixel-level spatial averaging on the detector. Observations are corrupted by shot poisson plus MCS. CT reconstruction via FBP with MLP curvilinear path (not straight-line like X-ray). Spatial resolution ~0.5-1 mm limited by MCS. ## ⚙ 2. Forward Model Physical chain: **x** → L · scatter · MCS → L · eloss · BetheBloch → L · project · MLP → Spatial integration → **y** (detector). ``` y = ∫_A dA `L.project.MLP` `L.eloss.BetheBloch` `L.scatter.MCS` x ``` **Measurement DAG:** | Primitive | What it does | |---|---| | `L.scatter.MCS` | L · scatter · mcs operator | | `L.eloss.BetheBloch` | L · eloss · bethebloch operator | | `L.project.MLP` | L · project · mlp operator | | `int.spatial` | Pixel-level spatial averaging on the detector | ## 🔬 3. Physics Fingerprint | Property | Value | |---|---| | Domain | Scientific Instrumentation | | Sub domain | Proton transmission imaging for materials and medicine | | Carrier | proton | | Problem class | linear_tomographic_inverse | | Solution space | rsp_map | | Noise model | shot_poisson_plus_MCS | | Integration axis | projection | | Difficulty delta | 5 | | L dag | 3.5 | ## 📡 4. Measurement Model CT reconstruction via FBP with MLP curvilinear path (not straight-line like X-ray). Spatial resolution ~0.5-1 mm limited by MCS. | Metric | Value | |---|---| | Metric | RSP_NMSE | | Secondary | spatial_resolution_mm | ## 📏 5. Operating Range (Ω) **Center problem class:** `pct_reconstruction` · **Forward operator:** `pct_forward` **Center point:** | Parameter | Unit | Value | |---|---|---| | N view | — | 360 | | Pixel mm | mm | 1 | | E beam mev | — | 200 | | N proton per view | — | 1e+08 | | Mls path model error | — | 0 | **Allowed bounds:** | Parameter | Unit | Range | |---|---|---| | N view | — | 10 – 720 | | Pixel mm | mm | 0.2 – 5 | | E beam mev | — | 70 – 330 | | Motion blur | — | 0.0 – 5 | | Dose limited snr | — | 0.5 – 100 | | N proton per view | — | 100000.0 – 10000000000.0 | | Mls path model error | — | 0.0 – 0.3 | | Calorimeter calibration | — | 0.0 – 0.05 | | Nuclear interaction fraction | — | 0.0 – 0.2 | ## 🎯 6. Tolerance (ε) **Center tolerance:** RSP NMSE 1e-3 | Metric | Range | |---|---| | Rsp nmse | 0.0001 – 0.1 | ## ⚖ 7. Hardness Function Hardness scales as **`epsilon_fn`** on **RSP_NMSE**, with κ = `300` and δ = `5`. ## 💾 8. Reference Dataset - **primary** · weight 1.0 · IPFS _(not pinned yet)_ ## 9. On-chain Registration - **Chain hash:** `0x20549f20256d3bd8b64bd29b1c0b4f8bbd707395468485815f7e8f378d7e761d` - **Chain tx hash:** `0xd28f26b34f52dd063fca19e10e3ee7f49e9a8a75aa5aca36f30c36e18439e6c6` - **Chain block:** `41554214` --- ## File Mapping This bundle consists of: `L1-131.md`, `L1-131.json`. | File | Role | How to regenerate | |------|------|-------------------| | `L1-131.md` | Source of truth — edit this | Human or LLM | | `L1-131.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 `L1-131`._ _Edit it, regenerate the JSON, and submit at [/submit](/submit) to claim the artifact._

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Read the attached Markdown (L1-131.md).
Regenerate L1-131.json so every field matches the Markdown.
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L2-131-001 pCT Reconstruction Spec

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📋 JSON metadata

{
  "artifact_id": "L1-131",
  "chain_block": 41554214,
  "chain_hash": "0x20549f20256d3bd8b64bd29b1c0b4f8bbd707395468485815f7e8f378d7e761d",
  "chain_tx_hash": "0xd28f26b34f52dd063fca19e10e3ee7f49e9a8a75aa5aca36f30c36e18439e6c6",
  "domain": "Scientific Instrumentation",
  "hardness_fn": {
    "delta": 5,
    "kappa": 300,
    "metric": "RSP_NMSE",
    "type": "epsilon_fn"
  },
  "initiator_dataset": [
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      "license_hash": null,
      "name": "primary",
      "weight": 1.0
    }
  ],
  "layer": "L1",
  "observable_profile": {
    "metric": "RSP_NMSE",
    "regime": "CT reconstruction via FBP with MLP curvilinear path (not straight-line like X-ray). Spatial resolution ~0.5-1 mm limited by MCS.",
    "secondary": "spatial_resolution_mm"
  },
  "physics_fingerprint": {
    "L_DAG": 3.5,
    "carrier": "proton",
    "difficulty_delta": 5,
    "domain": "Scientific Instrumentation",
    "integration_axis": "projection",
    "noise_model": "shot_poisson_plus_MCS",
    "primitives": [
      "L.scatter.MCS",
      "L.eloss.BetheBloch",
      "L.project.MLP",
      "int.spatial"
    ],
    "problem_class": "linear_tomographic_inverse",
    "sensing_mechanism": "energy_loss_scatter",
    "solution_space": "rsp_map",
    "sub_domain": "Proton transmission imaging for materials and medicine",
    "title": "Proton Radiography \u0026 CT (pRad, pCT)"
  },
  "size_tiers": {
    "allowed_forward_operators": [
      "pct_forward",
      "prad_forward"
    ],
    "allowed_omega_dimensions": [
      "E_beam_MeV",
      "N_proton_per_view",
      "N_view",
      "pixel_mm",
      "mls_path_model_error",
      "nuclear_interaction_fraction",
      "calorimeter_calibration",
      "dose_limited_snr",
      "motion_blur"
    ],
    "allowed_problem_classes": [
      "pct_reconstruction",
      "prad_2d",
      "biomed_proton_therapy_planning"
    ],
    "center_spec": {
      "epsilon_fn_center": "RSP NMSE 1e-3",
      "forward_operator": "pct_forward",
      "input_format": "proton_event_list",
      "omega": {
        "E_beam_MeV": 200,
        "N_proton_per_view": 100000000.0,
        "N_view": 360,
        "mls_path_model_error": 0.0,
        "pixel_mm": 1.0
      },
      "problem_class": "pct_reconstruction"
    },
    "epsilon_bounds": {
      "rsp_nmse": [
        0.0001,
        0.1
      ]
    },
    "omega_bounds": {
      "E_beam_MeV": [
        70,
        330
      ],
      "N_proton_per_view": [
        100000.0,
        10000000000.0
      ],
      "N_view": [
        10,
        720
      ],
      "calorimeter_calibration": [
        0.0,
        0.05
      ],
      "dose_limited_snr": [
        0.5,
        100
      ],
      "mls_path_model_error": [
        0.0,
        0.3
      ],
      "motion_blur": [
        0.0,
        5
      ],
      "nuclear_interaction_fraction": [
        0.0,
        0.2
      ],
      "pixel_mm": [
        0.2,
        5
      ]
    }
  },
  "staked_pwm": 0.0,
  "status": "testnet",
  "sub_domain": "Proton transmission imaging for materials and medicine",
  "title": "Proton Radiography \u0026 CT (pRad, pCT)"
}

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