L1 ⚛ L1-146 ⊙ Testnet

Nuclear Magnetic Resonance (NMR) Spectroscopy

Spectroscopy · Zeeman-split spin-state spectroscopy

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

🎁 Contribute & earn PWM

Improve L1-146 — submit with or without uploading. Accepted submissions earn the 1/16 modify share of A(t).

✨ Submit without uploading free check · 1×

One click — no files, no typing. We submit a check of L1-146 for you; it goes through review and earns the 1/16 share once. One free no-upload Principle per account.

You'll be asked to log in first — then it's one click, no files.

⬆ Or submit by uploading your files

Upload your .md + .json as a modification of L1-146. Unlimited.

🛠 Helper: build your files in ChatGPT / Gemini / Claude

Layer template

⬇ principle.md ⬇ principle.json

Fork L1-146

⬇ L1-146.md ⬇ L1-146.json

Prompt — copy into your LLM

You are helping me submit a MODIFICATION of L1-146 (Nuclear Magnetic Resonance (NMR) Spectroscopy) to the PWM Protocol — a Principle (L1) artifact.

I will paste a Markdown template (or the current L1-146.md).
1. Rewrite the Markdown so the science is correct and clearly explained for my change.
2. Regenerate the sibling L1-146.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.synthesis.harmonic` `L.precess.zeeman` x + n,    n ~ 𝒞𝒩(0, σ²)

world state x (chemical shift spectrum)

→

L · precess · zeeman `L.precess.zeeman`

→

L · synthesis · harmonic `L.synthesis.harmonic`

→

Temporal integration ∫_t dt

→

observation y (RF detector)

Noise: complex-valued Gaussian noise on real and imaginary parts

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._

💬

Ask the PWM AI agent AI

Ask about this Nuclear Magnetic Resonance (NMR) Spectroscopy — or how to improve it & earn PWM

Free to search; log in to chat with the agent & earn PWM. How it works ↗

⌥ Hierarchy

Upstream lineage and downstream children

↓ L2 Digital Twin 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

• PWM emission on accept — your share of A(t) (1/16 modify · 3/16 new)
• 5% upstream royalty on every downstream L4 mining event, forever
• Your wallet is enrolled the moment the founder accepts

🚀 Go to submit ↑

How: use the “Contribute & earn PWM” panel at the top — either Submit without uploading (one click) or upload your files. Then the review runs and, on accept, it’s promoted to mainnet.