L1 ⚛ L1-288 ⊙ Testnet

Volcanic Deformation — InSAR/GPS source modeling

Geophysics · Mogi / dike / sill source inversion

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⬇ principle.md ⬇ principle.json

Fork L1-288

⬇ L1-288.md ⬇ L1-288.json

Prompt — copy into your LLM

You are helping me submit a MODIFICATION of L1-288 (Volcanic Deformation — InSAR/GPS source modeling) to the PWM Protocol — a Principle (L1) artifact.

I will paste a Markdown template (or the current L1-288.md).
1. Rewrite the Markdown so the science is correct and clearly explained for my change.
2. Regenerate the sibling L1-288.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

y = ∫_A dA `L.nonlinear_inversion` `L.mogi_source` `L.elastic_halfspace` x + n,    n ~ 𝒩(0, σ²)

world state x (source geometry and pressure)

→

L · elastic halfspace `L.elastic_halfspace`

→

L · mogi source `L.mogi_source`

→

L · nonlinear inversion `L.nonlinear_inversion`

→

Spatial integration ∫_A dA

→

observation y (em detector)

Noise: additive Gaussian noise

Markdown — human-readable source of truth

⚙ auto-generated

⬇ L1-288.md

# ⚛ L1 Principle — Volcanic Deformation — InSAR/GPS source modeling **ID:** `L1-288` · **Status:** ⊙ Testnet (genesis catalog) > **🌐 Domain:** Geophysics — *Mogi / dike / sill source inversion* > **🎯 Problem class:** nonlinear inverse · **🧮 Solution space:** source geometry and pressure > **📡 Carrier:** em · **🌫 Noise:** gaussian > **⚖ Difficulty (δ):** 5 · **⛓ Block:** 41554065 --- ## 🧠 1. Introduction **Volcanic Deformation — InSAR/GPS source modeling** is a **nonlinear inverse problem** whose unknown lives in **source geometry and pressure** space, within the **Mogi / dike / sill source inversion** sub-domain of **Geophysics**. Measurements consist of electromagnetic field measurements via a **insar gps** sensing mechanism. The forward operator applies, in order: L · elastic halfspace operator; L · mogi source operator; L · nonlinear inversion operator; pixel-level spatial averaging on the detector. Observations are corrupted by additive Gaussian noise. Conditional stability; mismatch parameters dominate at Omega bounds. ## ⚙ 2. Forward Model Physical chain: **x** → L · elastic halfspace → L · mogi source → L · nonlinear inversion → Spatial integration → **y** (detector). ``` y = ∫_A dA `L.nonlinear_inversion` `L.mogi_source` `L.elastic_halfspace` x + n, n ~ 𝒩(0, σ²) ``` **Measurement DAG:** | Primitive | What it does | |---|---| | `L.elastic_halfspace` | L · elastic halfspace operator | | `L.mogi_source` | L · mogi source operator | | `L.nonlinear_inversion` | L · nonlinear inversion operator | | `int.spatial` | Pixel-level spatial averaging on the detector | ## 🔬 3. Physics Fingerprint | Property | Value | |---|---| | Domain | Geophysics | | Sub domain | Mogi / dike / sill source inversion | | Carrier | em | | Problem class | nonlinear_inverse | | Solution space | source_geometry_and_pressure | | Noise model | gaussian | | Integration axis | spatial | | Difficulty delta | 5 | | L dag | 3.3 | ## 📡 4. Measurement Model Conditional stability; mismatch parameters dominate at Omega bounds. | Metric | Value | |---|---| | Metric | volume_rel_error_percent | | Secondary | SSIM | ## 📏 5. Operating Range (Ω) **Center problem class:** `mogi` · **Forward operator:** `mogi_forward` **Center point:** | Parameter | Unit | Value | |---|---|---| | H | px | 1024 | | W | px | 1024 | | N gps | — | 20 | | Snr db | dB | 25 | | Unwrap error | — | 0 | | Topography error | — | 0 | | Atmospheric noise | — | 0 | | Ionospheric delay | — | 0 | **Allowed bounds:** | Parameter | Unit | Range | |---|---|---| | H | px | 128 – 8192 | | W | px | 128 – 8192 | | N gps | — | 1 – 1000 | | Snr db | dB | 0 – 40 | | Unwrap error | — | 0.0 – 0.2 | | Topography error | — | 0.0 – 0.2 | | Atmospheric noise | — | 0.0 – 0.3 | | Ionospheric delay | — | 0.0 – 0.3 | ## 🎯 6. Tolerance (ε) **Center tolerance:** 3.0 | Metric | Range | |---|---| | Volume rel | 0.5 – 40.0 | ## ⚖ 7. Hardness Function Hardness scales as **`epsilon_fn`** on **volume_rel_error_percent**, with κ = `500` and δ = `5`. ## 💾 8. Reference Dataset - **primary** · weight 1.0 · IPFS _(not pinned yet)_ ## 9. On-chain Registration - **Chain hash:** `0x2530e98c17cdd7f2a89f4c2fbfd1b32cb8f2d2e1c2626b1d234ed249b4e4caf3` - **Chain tx hash:** `0xc773179f0b9ef92bdeef155cb4879e375e1f433145e270c73b6e64dcfb165607` - **Chain block:** `41554065` --- ## File Mapping This bundle consists of: `L1-288.md`, `L1-288.json`. | File | Role | How to regenerate | |------|------|-------------------| | `L1-288.md` | Source of truth — edit this | Human or LLM | | `L1-288.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 `L1-288`._ _Edit it, regenerate the JSON, and submit at [/submit](/submit) to claim the artifact._

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L2-288-001 Volcanic Deformation — InSAR/GPS source modeling Mismatch-Only Spec

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📋 JSON metadata

{
  "artifact_id": "L1-288",
  "chain_block": 41554065,
  "chain_hash": "0x2530e98c17cdd7f2a89f4c2fbfd1b32cb8f2d2e1c2626b1d234ed249b4e4caf3",
  "chain_tx_hash": "0xc773179f0b9ef92bdeef155cb4879e375e1f433145e270c73b6e64dcfb165607",
  "domain": "Geophysics",
  "hardness_fn": {
    "delta": 5,
    "kappa": 500,
    "metric": "volume_rel_error_percent",
    "type": "epsilon_fn"
  },
  "initiator_dataset": [
    {
      "ipfs_cid": null,
      "license_hash": null,
      "name": "primary",
      "weight": 1.0
    }
  ],
  "layer": "L1",
  "observable_profile": {
    "metric": "volume_rel_error_percent",
    "regime": "Conditional stability; mismatch parameters dominate at Omega bounds.",
    "secondary": "SSIM"
  },
  "physics_fingerprint": {
    "L_DAG": 3.3,
    "carrier": "em",
    "difficulty_delta": 5,
    "domain": "Geophysics",
    "integration_axis": "spatial",
    "noise_model": "gaussian",
    "primitives": [
      "L.elastic_halfspace",
      "L.mogi_source",
      "L.nonlinear_inversion",
      "int.spatial"
    ],
    "problem_class": "nonlinear_inverse",
    "sensing_mechanism": "insar_gps",
    "solution_space": "source_geometry_and_pressure",
    "sub_domain": "Mogi / dike / sill source inversion",
    "title": "Volcanic Deformation \u2014 InSAR/GPS source modeling"
  },
  "size_tiers": {
    "allowed_forward_operators": [
      "mogi_forward"
    ],
    "allowed_omega_dimensions": [
      "H",
      "W",
      "N_gps",
      "SNR_dB",
      "atmospheric_noise",
      "topography_error",
      "ionospheric_delay",
      "unwrap_error",
      "atmospheric_noise",
      "topography_error",
      "ionospheric_delay",
      "unwrap_error"
    ],
    "allowed_problem_classes": [
      "mogi"
    ],
    "center_spec": {
      "epsilon_fn_center": "3.0",
      "forward_operator": "mogi_forward",
      "input_format": "measurement_only",
      "omega": {
        "H": 1024,
        "N_gps": 20,
        "SNR_dB": 25,
        "W": 1024,
        "atmospheric_noise": 0.0,
        "ionospheric_delay": 0.0,
        "topography_error": 0.0,
        "unwrap_error": 0.0
      },
      "problem_class": "mogi"
    },
    "epsilon_bounds": {
      "volume_rel": [
        0.5,
        40.0
      ]
    },
    "omega_bounds": {
      "H": [
        128,
        8192
      ],
      "N_gps": [
        1,
        1000
      ],
      "SNR_dB": [
        0,
        40
      ],
      "W": [
        128,
        8192
      ],
      "atmospheric_noise": [
        0.0,
        0.3
      ],
      "ionospheric_delay": [
        0.0,
        0.3
      ],
      "topography_error": [
        0.0,
        0.2
      ],
      "unwrap_error": [
        0.0,
        0.2
      ]
    }
  },
  "staked_pwm": 0.0,
  "status": "testnet",
  "sub_domain": "Mogi / dike / sill source inversion",
  "title": "Volcanic Deformation \u2014 InSAR/GPS source modeling"
}

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