L1 ⚛ L1-285 ⊙ Testnet

Satellite Gravity Recovery — GRACE/GRACE-FO mass change

Geophysics · Time-variable gravity (mass change) from GRACE

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Layer template

⬇ principle.md ⬇ principle.json

Fork L1-285

⬇ L1-285.md ⬇ L1-285.json

Prompt — copy into your LLM

You are helping me submit a MODIFICATION of L1-285 (Satellite Gravity Recovery — GRACE/GRACE-FO mass change) to the PWM Protocol — a Principle (L1) artifact.

I will paste a Markdown template (or the current L1-285.md).
1. Rewrite the Markdown so the science is correct and clearly explained for my change.
2. Regenerate the sibling L1-285.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 = ∫_t dt `L.destripe` `L.spherical_harm_decomp` `L.orbit_perturbation` x + n,    n ~ 𝒩(0, σ²)

world state x (monthly mass anomaly grid)

→

L · orbit perturbation `L.orbit_perturbation`

→

L · spherical harm decomp `L.spherical_harm_decomp`

→

L · destripe `L.destripe`

→

Temporal integration ∫_t dt

→

observation y (mechanical detector)

Noise: additive Gaussian noise

Markdown — human-readable source of truth

⚙ auto-generated

⬇ L1-285.md

# ⚛ L1 Principle — Satellite Gravity Recovery — GRACE/GRACE-FO mass change **ID:** `L1-285` · **Status:** ⊙ Testnet (genesis catalog) > **🌐 Domain:** Geophysics — *Time-variable gravity (mass change) from GRACE* > **🎯 Problem class:** linear inverse · **🧮 Solution space:** monthly mass anomaly grid > **📡 Carrier:** mechanical · **🌫 Noise:** gaussian > **⚖ Difficulty (δ):** 5 · **⛓ Block:** 41554065 --- ## 🧠 1. Introduction **Satellite Gravity Recovery — GRACE/GRACE-FO mass change** is a **linear inverse problem** whose unknown lives in **monthly mass anomaly grid** space, within the **Time-variable gravity (mass change) from GRACE** sub-domain of **Geophysics**. Measurements consist of mechanical vibrations or strain signals via a **grace lri** sensing mechanism. The forward operator applies, in order: L · orbit perturbation operator; L · spherical harm decomp operator; L · destripe operator; detector accumulates flux over the exposure window. Observations are corrupted by additive Gaussian noise. Conditional stability; mismatch parameters dominate at Omega bounds. ## ⚙ 2. Forward Model Physical chain: **x** → L · orbit perturbation → L · spherical harm decomp → L · destripe → Temporal integration → **y** (detector). ``` y = ∫_t dt `L.destripe` `L.spherical_harm_decomp` `L.orbit_perturbation` x + n, n ~ 𝒩(0, σ²) ``` **Measurement DAG:** | Primitive | What it does | |---|---| | `L.orbit_perturbation` | L · orbit perturbation operator | | `L.spherical_harm_decomp` | L · spherical harm decomp operator | | `L.destripe` | L · destripe operator | | `int.temporal` | Detector accumulates flux over the exposure window | ## 🔬 3. Physics Fingerprint | Property | Value | |---|---| | Domain | Geophysics | | Sub domain | Time-variable gravity (mass change) from GRACE | | Carrier | mechanical | | Problem class | linear_inverse | | Solution space | monthly_mass_anomaly_grid | | Noise model | gaussian | | Integration axis | temporal | | Difficulty delta | 5 | | L dag | 3.5 | ## 📡 4. Measurement Model Conditional stability; mismatch parameters dominate at Omega bounds. | Metric | Value | |---|---| | Metric | mass_anomaly_rel_error_percent | | Secondary | SSIM | ## 📏 5. Operating Range (Ω) **Center problem class:** `grace` · **Forward operator:** `grace_forward` **Center point:** | Parameter | Unit | Value | |---|---|---| | Snr db | dB | 30 | | N months | — | 200 | | N harmonics | — | 60 | | Orbit error | — | 0 | | Leakage error | — | 0 | | Striping error | — | 0 | | Glacial isostatic bias | — | 0 | **Allowed bounds:** | Parameter | Unit | Range | |---|---|---| | Snr db | dB | 0 – 40 | | N months | — | 24 – 400 | | N harmonics | — | 10 – 300 | | Orbit error | — | 0.0 – 0.1 | | Leakage error | — | 0.0 – 0.3 | | Striping error | — | 0.0 – 0.3 | | Glacial isostatic bias | — | 0.0 – 0.3 | ## 🎯 6. Tolerance (ε) **Center tolerance:** 3.0 | Metric | Range | |---|---| | Mass rel | 0.5 – 30.0 | ## ⚖ 7. Hardness Function Hardness scales as **`epsilon_fn`** on **mass_anomaly_rel_error_percent**, with κ = `600` and δ = `5`. ## 💾 8. Reference Dataset - **primary** · weight 1.0 · IPFS _(not pinned yet)_ ## 9. On-chain Registration - **Chain hash:** `0x4a5a02974e4fc1e476f4681383d20f18cd2a8dd489d7cd0f644c07c0adac0e69` - **Chain tx hash:** `0x5e9a9d4b58f31fb3c3eb95ceba79ce660700ebfb3e574f3de086c32b0e889feb` - **Chain block:** `41554065` --- ## File Mapping This bundle consists of: `L1-285.md`, `L1-285.json`. | File | Role | How to regenerate | |------|------|-------------------| | `L1-285.md` | Source of truth — edit this | Human or LLM | | `L1-285.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 `L1-285`._ _Edit it, regenerate the JSON, and submit at [/submit](/submit) to claim the artifact._

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L2-285-001 Satellite Gravity Recovery — GRACE/GRACE-FO mass change Mismatch-Only Spec

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📋 JSON metadata

{
  "artifact_id": "L1-285",
  "chain_block": 41554065,
  "chain_hash": "0x4a5a02974e4fc1e476f4681383d20f18cd2a8dd489d7cd0f644c07c0adac0e69",
  "chain_tx_hash": "0x5e9a9d4b58f31fb3c3eb95ceba79ce660700ebfb3e574f3de086c32b0e889feb",
  "domain": "Geophysics",
  "hardness_fn": {
    "delta": 5,
    "kappa": 600,
    "metric": "mass_anomaly_rel_error_percent",
    "type": "epsilon_fn"
  },
  "initiator_dataset": [
    {
      "ipfs_cid": null,
      "license_hash": null,
      "name": "primary",
      "weight": 1.0
    }
  ],
  "layer": "L1",
  "observable_profile": {
    "metric": "mass_anomaly_rel_error_percent",
    "regime": "Conditional stability; mismatch parameters dominate at Omega bounds.",
    "secondary": "SSIM"
  },
  "physics_fingerprint": {
    "L_DAG": 3.5,
    "carrier": "mechanical",
    "difficulty_delta": 5,
    "domain": "Geophysics",
    "integration_axis": "temporal",
    "noise_model": "gaussian",
    "primitives": [
      "L.orbit_perturbation",
      "L.spherical_harm_decomp",
      "L.destripe",
      "int.temporal"
    ],
    "problem_class": "linear_inverse",
    "sensing_mechanism": "grace_lri",
    "solution_space": "monthly_mass_anomaly_grid",
    "sub_domain": "Time-variable gravity (mass change) from GRACE",
    "title": "Satellite Gravity Recovery \u2014 GRACE/GRACE-FO mass change"
  },
  "size_tiers": {
    "allowed_forward_operators": [
      "grace_forward"
    ],
    "allowed_omega_dimensions": [
      "N_months",
      "N_harmonics",
      "SNR_dB",
      "orbit_error",
      "striping_error",
      "leakage_error",
      "glacial_isostatic_bias",
      "orbit_error",
      "striping_error",
      "leakage_error",
      "glacial_isostatic_bias"
    ],
    "allowed_problem_classes": [
      "grace"
    ],
    "center_spec": {
      "epsilon_fn_center": "3.0",
      "forward_operator": "grace_forward",
      "input_format": "measurement_only",
      "omega": {
        "N_harmonics": 60,
        "N_months": 200,
        "SNR_dB": 30,
        "glacial_isostatic_bias": 0.0,
        "leakage_error": 0.0,
        "orbit_error": 0.0,
        "striping_error": 0.0
      },
      "problem_class": "grace"
    },
    "epsilon_bounds": {
      "mass_rel": [
        0.5,
        30.0
      ]
    },
    "omega_bounds": {
      "N_harmonics": [
        10,
        300
      ],
      "N_months": [
        24,
        400
      ],
      "SNR_dB": [
        0,
        40
      ],
      "glacial_isostatic_bias": [
        0.0,
        0.3
      ],
      "leakage_error": [
        0.0,
        0.3
      ],
      "orbit_error": [
        0.0,
        0.1
      ],
      "striping_error": [
        0.0,
        0.3
      ]
    }
  },
  "staked_pwm": 0.0,
  "status": "testnet",
  "sub_domain": "Time-variable gravity (mass change) from GRACE",
  "title": "Satellite Gravity Recovery \u2014 GRACE/GRACE-FO mass change"
}

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