L2 📐 L2-278-001 ⊙ Testnet

Earthquake Source Inversion — finite-fault slip Mismatch-Only Spec

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Layer template

⬇ spec.md ⬇ spec.json

Fork L2-278-001

⬇ L2-278-001.md ⬇ L2-278-001.json

Prompt — copy into your LLM

You are helping me submit a MODIFICATION of L2-278-001 (Earthquake Source Inversion — finite-fault slip Mismatch-Only Spec) to the PWM Protocol — a Digital Twin (L2) artifact.

I will paste a Markdown template (or the current L2-278-001.md).
1. Rewrite the Markdown so the science is correct and clearly explained for my change.
2. Regenerate the sibling L2-278-001.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 L1-278

y = ∫_t dt `L.linearize` `L.source_time` `L.green_function` x + n,    n ~ 𝒩(0, σ²)

world state x (2D slip distribution)

→

L · green function `L.green_function`

→

L · source time `L.source_time`

→

L · linearize `L.linearize`

→

Temporal integration ∫_t dt

→

observation y (acoustic detector)

Noise: additive Gaussian noise

Markdown — human-readable source of truth

⚙ auto-generated

⬇ L2-278-001.md

# 📐 L2 Digital Twin — Earthquake Source Inversion — finite-fault slip Mismatch-Only Spec **ID:** `L2-278-001` · **Status:** ⊙ Testnet (genesis catalog) **Parents:** ⬆ Principle [`L1-278`](/artifact/l1/L1-278) > **🎯 Tolerance (ε):** expression > **⚖ Difficulty score:** 0.48 · **Delta tier:** 5 > **⛓ On-chain block:** 41554055 --- ## 1. Domain Ω **Type:** `range` | Parameter | Unit | Range | |---|---|---| | Snr db | dB | 0 – 40 | | N samples | — | 100 – 65536 | | N stations | — | 5 – 1000 | | N subfaults | — | 10 – 10000 | | Fault geometry error | — | 0.0 – 0.3 | | Green function error | — | 0.0 – 0.3 | | Rupture velocity error | — | 0.0 – 0.3 | ## 2. Tolerance (ε) **Type:** `fn` ``` 50.0 - 0.3*SNR_dB - 80.0*green_function_error - 50.0*rupture_velocity_error - 40.0*fault_geometry_error + 25 ``` ## 3. Difficulty | Property | Value | |---|---| | Difficulty score | 0.48 | | Delta tier | 5 | ## 4. Fingerprint `6f5685d362bf5b3fc2917a5a284fca6c2175f0759edca81767831a33da090230` ## 5. On-chain Registration - **Chain hash:** `0x232d6980815697172b5ca7609eb52f6af02774edfe9d6c348dd407a667a6bf92` - **Chain tx hash:** `0x79f2302c56701dad15bb0c87f1d5b246d0aa778dda7a71cd86b3492b420c39df` - **Chain block:** `41554055` --- ## File Mapping This bundle consists of: `L2-278-001.md`, `L2-278-001.json`. | File | Role | How to regenerate | |------|------|-------------------| | `L2-278-001.md` | Source of truth — edit this | Human or LLM | | `L2-278-001.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 `L2-278-001`._ _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 L1-278 Earthquake Source Inversion — finite-fault slip

↓ L3 Benchmark 1 child ▾

L3-278-001-001-T1 T1_nominal

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📋 JSON metadata

{
  "artifact_id": "L2-278-001",
  "chain_block": 41554055,
  "chain_hash": "0x232d6980815697172b5ca7609eb52f6af02774edfe9d6c348dd407a667a6bf92",
  "chain_tx_hash": "0x79f2302c56701dad15bb0c87f1d5b246d0aa778dda7a71cd86b3492b420c39df",
  "delta_tier": 5,
  "difficulty_score": 0.48,
  "epsilon": {
    "expression": "50.0 - 0.3*SNR_dB - 80.0*green_function_error - 50.0*rupture_velocity_error - 40.0*fault_geometry_error + 25",
    "type": "fn"
  },
  "fingerprint": "6f5685d362bf5b3fc2917a5a284fca6c2175f0759edca81767831a33da090230",
  "layer": "L2",
  "omega": {
    "dims": {
      "N_samples": [
        100,
        65536
      ],
      "N_stations": [
        5,
        1000
      ],
      "N_subfaults": [
        10,
        10000
      ],
      "SNR_dB": [
        0,
        40
      ],
      "fault_geometry_error": [
        0.0,
        0.3
      ],
      "green_function_error": [
        0.0,
        0.3
      ],
      "rupture_velocity_error": [
        0.0,
        0.3
      ]
    },
    "type": "range"
  },
  "parent_l1": "L1-278",
  "status": "testnet",
  "submitted_by": "mainnet_mirror",
  "title": "Earthquake Source Inversion \u2014 finite-fault slip Mismatch-Only Spec"
}

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