L1 ⚛ L1-285 ⊙ Testnet

Satellite Gravity Recovery — GRACE/GRACE-FO mass change

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

⬇ Download bundle 🚀 Submit to mainnet — earn 100 PWM + 5% royalty

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._

📝 Polish this artifact in your LLM

Download the files on the right.
Paste the Markdown into ChatGPT / Claude / Gemini and edit freely.
Send your edited Markdown back with the prompt below.
Save the regenerated JSON, then submit via /submit.

Prompt to give your LLM

Read the attached Markdown (L1-285.md).
Regenerate L1-285.json so every field matches the Markdown.
Preserve the schema documented in the File Mapping footer at the bottom of the MD.
Output each file in its own fenced code block tagged with the filename.

⌥ Hierarchy

Upstream lineage and downstream children

↓ L2 Spec 1 child ▾

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

⬇ Download bundle

2 files · click to download

📋 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"
}

🎁

Earn PWM by promoting this to mainnet

• 100 PWM one-time grant on mainnet promotion
• 5% upstream royalty on every downstream L4 mining event, forever
• Your wallet is enrolled the moment the founder accepts

🚀 Submit to mainnet →

How: Download the bundle above → polish the Markdown in ChatGPT / Claude / Gemini → submit your version → founder reviews → mainnet.