L2 📐 L2-138-001 ⊙ Testnet

CARS Multiplex Spec (broadband CARS family)

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Layer template

⬇ spec.md ⬇ spec.json

Fork L2-138-001

⬇ L2-138-001.md ⬇ L2-138-001.json

Prompt — copy into your LLM

You are helping me submit a MODIFICATION of L2-138-001 (CARS Multiplex Spec (broadband CARS family)) to the PWM Protocol — a Digital Twin (L2) artifact.

I will paste a Markdown template (or the current L2-138-001.md).
1. Rewrite the Markdown so the science is correct and clearly explained for my change.
2. Regenerate the sibling L2-138-001.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 L1-138

y = ∫_t dt `S.nonlinear.chi3` `L.beat.twocolor` x

world state x (concentration map)

→

L · beat · twocolor `L.beat.twocolor`

→

S · nonlinear · chi3 `S.nonlinear.chi3`

→

Temporal integration ∫_t dt

→

observation y (photon detector)

Noise: shot noise in a coherent detection regime

Markdown — human-readable source of truth

⚙ auto-generated

⬇ L2-138-001.md

# 📐 L2 Digital Twin — CARS Multiplex Spec (broadband CARS family) **ID:** `L2-138-001` · **Status:** ⊙ Testnet (genesis catalog) **Parents:** ⬆ Principle [`L1-138`](/artifact/l1/L1-138) > **🎯 Tolerance (ε):** expression > **⚖ Difficulty score:** 0.35 · **Delta tier:** 5 > **⛓ On-chain block:** 41554230 --- ## 1. Domain Ω **Type:** `range` | Parameter | Unit | Range | |---|---|---| | H | px | 64 – 1024 | | W | px | 64 – 1024 | | Rho nr | — | 0.0 – 5.0 | | N omega | — | 1 – 2048 | | Lambda p nm | nm | 750 – 1100 | | Lambda s nm | nm | 1000 – 1300 | | Focal volume error | — | 0.0 – 0.2 | | Pulse energy fluct | — | 0.0 – 0.3 | | Frequency drift cm1 | — | 0.0 – 20.0 | ## 2. Tolerance (ε) **Type:** `fn` ``` 1e-2 + 0.05 * rho_NR + 0.005 * frequency_drift_cm1 + 0.05 * pulse_energy_fluct ``` ## 3. Difficulty | Property | Value | |---|---| | Difficulty score | 0.35 | | Delta tier | 5 | ## 4. Fingerprint `de3a0e22bd6475b68b02ea652a49c08306e68be104759a1dff2fc8c6e24d94b4` ## 5. On-chain Registration - **Chain hash:** `0x39bfeddc0bceba03bf930e1e916d2d757c051a9c6e1c52f93d7d171ad751fafd` - **Chain tx hash:** `0xf791b2371e95a606ff53f32c98250e4b695ec92fccfab1b8ea16d031a8b341ae` - **Chain block:** `41554230` --- ## File Mapping This bundle consists of: `L2-138-001.md`, `L2-138-001.json`. | File | Role | How to regenerate | |------|------|-------------------| | `L2-138-001.md` | Source of truth — edit this | Human or LLM | | `L2-138-001.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 `L2-138-001`._ _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 L1-138 CARS — Coherent Anti-Stokes Raman Scattering

↓ L3 Benchmark 1 child ▾

L3-138-001-001-T1 T1_low_nonres

⬇ Download bundle

2 files · click to download

📋 JSON metadata

{
  "artifact_id": "L2-138-001",
  "chain_block": 41554230,
  "chain_hash": "0x39bfeddc0bceba03bf930e1e916d2d757c051a9c6e1c52f93d7d171ad751fafd",
  "chain_tx_hash": "0xf791b2371e95a606ff53f32c98250e4b695ec92fccfab1b8ea16d031a8b341ae",
  "delta_tier": 5,
  "difficulty_score": 0.35,
  "epsilon": {
    "expression": "1e-2 + 0.05 * rho_NR + 0.005 * frequency_drift_cm1 + 0.05 * pulse_energy_fluct",
    "type": "fn"
  },
  "fingerprint": "de3a0e22bd6475b68b02ea652a49c08306e68be104759a1dff2fc8c6e24d94b4",
  "layer": "L2",
  "omega": {
    "dims": {
      "H": [
        64,
        1024
      ],
      "N_omega": [
        1,
        2048
      ],
      "W": [
        64,
        1024
      ],
      "focal_volume_error": [
        0.0,
        0.2
      ],
      "frequency_drift_cm1": [
        0.0,
        20.0
      ],
      "lambda_p_nm": [
        750,
        1100
      ],
      "lambda_s_nm": [
        1000,
        1300
      ],
      "pulse_energy_fluct": [
        0.0,
        0.3
      ],
      "rho_NR": [
        0.0,
        5.0
      ]
    },
    "type": "range"
  },
  "parent_l1": "L1-138",
  "status": "testnet",
  "submitted_by": "mainnet_mirror",
  "title": "CARS Multiplex Spec (broadband CARS family)"
}

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