L1 ⚛ L1-146 ⊙ Testnet

Nuclear Magnetic Resonance (NMR) Spectroscopy

Spectroscopy · Zeeman-split spin-state spectroscopy

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

Markdown — human-readable source of truth

⚙ auto-generated

⬇ L1-146.md

# ⚛ L1 Principle — Nuclear Magnetic Resonance (NMR) Spectroscopy **ID:** `L1-146` · **Status:** ⊙ Testnet (genesis catalog) > **🌐 Domain:** Spectroscopy — *Zeeman-split spin-state spectroscopy* > **🎯 Problem class:** parametric spectral estimation · **🧮 Solution space:** chemical shift spectrum > **📡 Carrier:** RF · **🌫 Noise:** complex gaussian > **⚖ Difficulty (δ):** 3 · **⛓ Block:** 41554228 --- ## 🧠 1. Introduction **Nuclear Magnetic Resonance (NMR) Spectroscopy** is a **parametric spectral estimation** whose unknown lives in **chemical shift spectrum** space, within the **Zeeman-split spin-state spectroscopy** sub-domain of **Spectroscopy**. Measurements consist of RF coil signals (typical of MRI) via a **zeeman precession** sensing mechanism. The forward operator applies, in order: L · precess · zeeman operator; L · synthesis · harmonic operator; detector accumulates flux over the exposure window. Observations are corrupted by complex-valued Gaussian noise on real and imaginary parts. Linear inverse via FFT; peak overlap in crowded spectra is dominant ill-posedness source. Mismatch: B0 shim drift, B1 miscalibration, phase drift. ## ⚙ 2. Forward Model Physical chain: **x** → L · precess · zeeman → L · synthesis · harmonic → Temporal integration → **y** (detector). ``` y = ∫_t dt `L.synthesis.harmonic` `L.precess.zeeman` x + n, n ~ 𝒞𝒩(0, σ²) ``` **Measurement DAG:** | Primitive | What it does | |---|---| | `L.precess.zeeman` | L · precess · zeeman operator | | `L.synthesis.harmonic` | L · synthesis · harmonic operator | | `int.temporal` | Detector accumulates flux over the exposure window | ## 🔬 3. Physics Fingerprint | Property | Value | |---|---| | Domain | Spectroscopy | | Sub domain | Zeeman-split spin-state spectroscopy | | Carrier | RF | | Problem class | parametric_spectral_estimation | | Solution space | chemical_shift_spectrum | | Noise model | complex_gaussian | | Integration axis | temporal | | Difficulty delta | 3 | | L dag | 3 | ## 📡 4. Measurement Model Linear inverse via FFT; peak overlap in crowded spectra is dominant ill-posedness source. Mismatch: B0 shim drift, B1 miscalibration, phase drift. | Metric | Value | |---|---| | Metric | chemical_shift_RMSE_ppm | | Secondary | integral_NMSE | ## 📏 5. Operating Range (Ω) **Center problem class:** `1d_1h_nmr_peak_picking` · **Forward operator:** `nmr_fid_forward` **Center point:** | Parameter | Unit | Value | |---|---|---| | K | — | 10 | | N | — | 32768 | | B0 mhz | MHz | 500 | | Snr db | dB | 30 | | Phase distortion | — | 0 | | B0 inhomogeneity hz | Hz | 1 | **Allowed bounds:** | Parameter | Unit | Range | |---|---|---| | K | — | 1 – 200 | | N | — | 1024 – 262144 | | B0 mhz | MHz | 60 – 1200 | | Snr db | dB | -5 – 50 | | Baseline roll | — | 0.0 – 0.2 | | Phase distortion | — | 0.0 – 0.5 | | B1 miscalibration | — | 0.0 – 0.3 | | B0 inhomogeneity hz | Hz | 0.0 – 20 | | Solvent suppression residual | — | 0.0 – 0.1 | ## 🎯 6. Tolerance (ε) **Center tolerance:** 0.002 ppm RMSE | Metric | Range | |---|---| | Rmse ppm | 0.0001 – 0.1 | ## ⚖ 7. Hardness Function Hardness scales as **`epsilon_fn`** on **chemical_shift_RMSE_ppm**, with κ = `200` and δ = `3`. ## 💾 8. Reference Dataset - **primary** · weight 1.0 · IPFS _(not pinned yet)_ ## 9. On-chain Registration - **Chain hash:** `0x552e4cb298b8331e88586fbcf99d52bb96e987da73ac46998ba6417c61cbc624` - **Chain tx hash:** `0x67005d87bff2b33db657b876350aabc7167ca0809dec97bd58ccf713d15badda` - **Chain block:** `41554228` --- ## File Mapping This bundle consists of: `L1-146.md`, `L1-146.json`. | File | Role | How to regenerate | |------|------|-------------------| | `L1-146.md` | Source of truth — edit this | Human or LLM | | `L1-146.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 `L1-146`._ _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 (L1-146.md).
Regenerate L1-146.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 ▾

L2-146-001 NMR 1D Peak-Picking Spec

⬇ Download bundle

2 files · click to download

📋 JSON metadata

{
  "artifact_id": "L1-146",
  "chain_block": 41554228,
  "chain_hash": "0x552e4cb298b8331e88586fbcf99d52bb96e987da73ac46998ba6417c61cbc624",
  "chain_tx_hash": "0x67005d87bff2b33db657b876350aabc7167ca0809dec97bd58ccf713d15badda",
  "domain": "Spectroscopy",
  "hardness_fn": {
    "delta": 3,
    "kappa": 200,
    "metric": "chemical_shift_RMSE_ppm",
    "type": "epsilon_fn"
  },
  "initiator_dataset": [
    {
      "ipfs_cid": null,
      "license_hash": null,
      "name": "primary",
      "weight": 1.0
    }
  ],
  "layer": "L1",
  "observable_profile": {
    "metric": "chemical_shift_RMSE_ppm",
    "regime": "Linear inverse via FFT; peak overlap in crowded spectra is dominant ill-posedness source. Mismatch: B0 shim drift, B1 miscalibration, phase drift.",
    "secondary": "integral_NMSE"
  },
  "physics_fingerprint": {
    "L_DAG": 3.0,
    "carrier": "RF",
    "difficulty_delta": 3,
    "domain": "Spectroscopy",
    "integration_axis": "temporal",
    "noise_model": "complex_gaussian",
    "primitives": [
      "L.precess.zeeman",
      "L.synthesis.harmonic",
      "int.temporal"
    ],
    "problem_class": "parametric_spectral_estimation",
    "sensing_mechanism": "zeeman_precession",
    "solution_space": "chemical_shift_spectrum",
    "sub_domain": "Zeeman-split spin-state spectroscopy",
    "title": "Nuclear Magnetic Resonance (NMR) Spectroscopy"
  },
  "size_tiers": {
    "allowed_forward_operators": [
      "nmr_fid_forward",
      "nmr_2d_nus_forward",
      "nmr_cpmg_forward"
    ],
    "allowed_omega_dimensions": [
      "N",
      "SNR_dB",
      "B0_MHz",
      "K",
      "b0_inhomogeneity_hz",
      "b1_miscalibration",
      "phase_distortion",
      "baseline_roll",
      "solvent_suppression_residual"
    ],
    "allowed_problem_classes": [
      "1d_1h_nmr_peak_picking",
      "2d_cosy_deconvolution",
      "mixture_deconvolution",
      "non_uniform_sampling_cs"
    ],
    "center_spec": {
      "epsilon_fn_center": "0.002 ppm RMSE",
      "forward_operator": "nmr_fid_forward",
      "input_format": "fid_time_domain",
      "omega": {
        "B0_MHz": 500,
        "K": 10,
        "N": 32768,
        "SNR_dB": 30,
        "b0_inhomogeneity_hz": 1.0,
        "phase_distortion": 0.0
      },
      "problem_class": "1d_1h_nmr_peak_picking"
    },
    "epsilon_bounds": {
      "rmse_ppm": [
        0.0001,
        0.1
      ]
    },
    "omega_bounds": {
      "B0_MHz": [
        60,
        1200
      ],
      "K": [
        1,
        200
      ],
      "N": [
        1024,
        262144
      ],
      "SNR_dB": [
        -5,
        50
      ],
      "b0_inhomogeneity_hz": [
        0.0,
        20
      ],
      "b1_miscalibration": [
        0.0,
        0.3
      ],
      "baseline_roll": [
        0.0,
        0.2
      ],
      "phase_distortion": [
        0.0,
        0.5
      ],
      "solvent_suppression_residual": [
        0.0,
        0.1
      ]
    }
  },
  "staked_pwm": 0.0,
  "status": "testnet",
  "sub_domain": "Zeeman-split spin-state spectroscopy",
  "title": "Nuclear Magnetic Resonance (NMR) Spectroscopy"
}

🎁

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.