Principles
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Claim Board — scientifically-declared inventory awaiting external contributors. Each stub is an open invitation: author the reference solver + dataset, open a PR, and earn the registration bounty. Not mineable until promoted to Tier 1/2 by 3-of-5 multisig.
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Problem classnonlinear_inverse (203)linear_inverse (197)parameter_estimation (62)linear_inverse_with_categorical_readout (18)statistical_inverse (5)forward (3)parametric_spectral_estimation (3)linear_inverse_count (3)
Noise modelgaussian (316)shot_poisson (80)poisson (28)observation_gaussian (13)poisson_gaussian (13)measurement_gaussian (10)lognormal (9)deterministic (7)
Photon, electron, mechanical, etc. drawn from each manifest'sphysics_fingerprint block. Combine multiple facets to narrow further.
Domain:AllCompressive ImagingAstrophysicsComputational BiologyEnvironmental ScienceControl TheoryComputational FinanceRoboticsPetroleum EngineeringGeodesyParticle PhysicsOptimizationAstronomyPolymer PhysicsSemiconductor PhysicsComputational ChemistryQuantum MechanicsMaterials ScienceMicroscopyMedical ImagingCoherent ImagingComputational PhotographyComputational OpticsElectron MicroscopyDepth ImagingRemote SensingIndustrial InspectionUltrafast ImagingQuantum ImagingMultimodal FusionScanning ProbePlasma PhysicsNuclear EngineeringFluid DynamicsHeat TransferStructural MechanicsElectromagneticsAcousticsGeophysicsSignal ProcessingScientific InstrumentationSpectroscopy
| Title | ID | Chain | Domain | Tier | δ | L_DAG | Specs | Benchmarks |
|---|---|---|---|---|---|---|---|---|
| CMB Power Spectrum Parameter Estimation | L1-366 | unregistered | Astrophysics | 📋 Stub — not mineable | 5 | 3.8 | 0 | 0 |
| CMB Gravitational Lensing Reconstruction | L1-367 | unregistered | Astrophysics | 📋 Stub — not mineable | 5 | 3.5 | 0 | 0 |
| Strong Gravitational Lensing Inversion | L1-368 | unregistered | Astrophysics | 📋 Stub — not mineable | 10 | 4.2 | 0 | 0 |
| Weak Gravitational Lensing Shear Estimation | L1-369 | unregistered | Astrophysics | 📋 Stub — not mineable | 5 | 3.2 | 0 | 0 |
| Stellar Atmosphere Spectral Inversion | L1-371 | unregistered | Astrophysics | 📋 Stub — not mineable | 5 | 3.5 | 0 | 0 |
| Supernova Light Curve Fitting | L1-372 | unregistered | Astrophysics | 📋 Stub — not mineable | 3 | 2.8 | 0 | 0 |
| Accretion Disk Structure Inversion | L1-375 | unregistered | Astrophysics | 📋 Stub — not mineable | 5 | 4 | 0 | 0 |
| Galaxy SED Fitting | L1-377 | unregistered | Astrophysics | 📋 Stub — not mineable | 3 | 3 | 0 | 0 |
| Exoplanet Transit Photometry Inversion | L1-380 | unregistered | Astrophysics | 📋 Stub — not mineable | 3 | 2.5 | 0 | 0 |
| Type Ia Supernova Distance Standardization | L1-381 | unregistered | Astrophysics | 📋 Stub — not mineable | 3 | 2.8 | 0 | 0 |
| Atmospheric Radiative Transfer Inversion | L1-416 | unregistered | Environmental Science | 📋 Stub — not mineable | 5 | 4 | 0 | 0 |
| Sea Ice Thermodynamic-Dynamic Inversion | L1-420 | unregistered | Environmental Science | 📋 Stub — not mineable | 5 | 3.5 | 0 | 0 |
| LiDAR Point Cloud 3D Mapping | L1-469 | unregistered | Geodesy | 📋 Stub — not mineable | 3 | 2.8 | 0 | 0 |
| Photogrammetry Structure-from-Motion | L1-470 | unregistered | Geodesy | 📋 Stub — not mineable | 3 | 3.5 | 0 | 0 |
| Hyperspectral Spectral Unmixing | L1-472 | unregistered | Geodesy | 📋 Stub — not mineable | 3 | 2.8 | 0 | 0 |
| Radiometric Sensor Calibration | L1-473 | unregistered | Geodesy | 📋 Stub — not mineable | 3 | 2.5 | 0 | 0 |
| Stellar Coronagraphy PSF Subtraction | L1-166 | unregistered | Astronomy | 📋 Stub — not mineable | 3 | 3.2 | 0 | 0 |
| Lucky Imaging Atmospheric Turbulence Recovery | L1-167 | unregistered | Astronomy | 📋 Stub — not mineable | 3 | 2.5 | 0 | 0 |
| Solar EUV/X-ray Image Reconstruction | L1-169 | unregistered | Astronomy | 📋 Stub — not mineable | 3 | 3 | 0 | 0 |
| Landau-de Gennes Liquid Crystal Theory | L1-479 | unregistered | Polymer Physics | 📋 Stub — not mineable | 5 | 3.8 | 0 | 0 |
| Time-Dependent Density Functional Theory (TDDFT) | L1-297 | unregistered | Computational Chemistry | 📋 Stub — not mineable | 5 | 3.6 | 0 | 0 |
| Bethe-Salpeter Equation for Excitons | L1-320 | unregistered | Quantum Mechanics | 📋 Stub — not mineable | 10 | 4.2 | 0 | 0 |
| Lindblad Master Equation (Open Quantum Systems) | L1-324 | unregistered | Quantum Mechanics | 📋 Stub — not mineable | 5 | 3.5 | 0 | 0 |
| Additive Manufacturing (Selective Laser Melting) Thermal Model | L1-341 | unregistered | Materials Science | 📋 Stub — not mineable | 5 | 3.9 | 0 | 0 |
| Widefield Fluorescence Microscopy (Airy-PSF deconvolution) | L1-001 | unregistered | Microscopy | 📋 Stub — not mineable | 1 | 1 | 0 | 0 |
| Low-Dose Widefield Fluorescence (photon-starved Airy deconvolution) | L1-002 | unregistered | Microscopy | 📋 Stub — not mineable | 3 | 1 | 0 | 0 |
| Structured Illumination Microscopy (SIM) — lateral 2x resolution | L1-005 | unregistered | Microscopy | 📋 Stub — not mineable | 5 | 2.8 | 0 | 0 |
| Light Sheet Fluorescence Microscopy (LSFM / SPIM) | L1-006 | unregistered | Microscopy | 📋 Stub — not mineable | 3 | 3.2 | 0 | 0 |
| Fluorescence Lifetime Imaging Microscopy (FLIM) | L1-007 | unregistered | Microscopy | 📋 Stub — not mineable | 3 | 3 | 0 | 0 |
| Fourier Ptychographic Microscopy (FPM) | L1-008 | unregistered | Microscopy | 📋 Stub — not mineable | 5 | 4 | 0 | 0 |
| Two-Photon Microscopy (chi-3 NLO excitation) | L1-009 | unregistered | Microscopy | 📋 Stub — not mineable | 5 | 3.5 | 0 | 0 |
| Stimulated Emission Depletion (STED) — donut super-resolution | L1-010 | unregistered | Microscopy | 📋 Stub — not mineable | 5 | 3.8 | 0 | 0 |
| PALM / STORM (single-molecule localization microscopy) | L1-011 | unregistered | Microscopy | 📋 Stub — not mineable | 10 | 4.2 | 0 | 0 |
| Total Internal Reflection Fluorescence (TIRF) | L1-012 | unregistered | Microscopy | 📋 Stub — not mineable | 3 | 2.5 | 0 | 0 |
| Polarization Microscopy (Stokes / birefringence imaging) | L1-013 | unregistered | Microscopy | 📋 Stub — not mineable | 3 | 3 | 0 | 0 |
| Expansion Microscopy (ExM) — physical hydrogel expansion | L1-014 | unregistered | Microscopy | 📋 Stub — not mineable | 3 | 2.5 | 0 | 0 |
| MINFLUX (minimum-photon single-molecule localization) | L1-015 | unregistered | Microscopy | 📋 Stub — not mineable | 10 | 4 | 0 | 0 |
| Image Scanning Microscopy (ISM) — pixel reassignment super-resolution | L1-016 | unregistered | Microscopy | 📋 Stub — not mineable | 3 | 3.3 | 0 | 0 |
| Zernike Phase-Contrast Microscopy | L1-017 | unregistered | Microscopy | 📋 Stub — not mineable | 3 | 3 | 0 | 0 |
| Differential Interference Contrast (DIC / Nomarski) Microscopy | L1-018 | unregistered | Microscopy | 📋 Stub — not mineable | 3 | 3.5 | 0 | 0 |
| Darkfield Microscopy (oblique-illumination scattering imaging) | L1-019 | unregistered | Microscopy | 📋 Stub — not mineable | 1 | 2.2 | 0 | 0 |
| Lattice Light Sheet Microscopy (LLSM) — Bessel-lattice 3D imaging | L1-020 | unregistered | Microscopy | 📋 Stub — not mineable | 5 | 3.8 | 0 | 0 |
| Second Harmonic Generation (SHG) Microscopy | L1-021 | unregistered | Microscopy | 📋 Stub — not mineable | 5 | 3.5 | 0 | 0 |
| Spinning Disk Confocal (Nipkow) Microscopy | L1-022 | unregistered | Microscopy | 📋 Stub — not mineable | 3 | 2.5 | 0 | 0 |
| Three-Photon Microscopy (chi-5 deep-tissue imaging) | L1-023 | unregistered | Microscopy | 📋 Stub — not mineable | 10 | 3.8 | 0 | 0 |
| DNA-PAINT (transient DNA-hybridization localization microscopy) | L1-024 | unregistered | Microscopy | 📋 Stub — not mineable | 10 | 4 | 0 | 0 |
| Confocal Fluorescence (pinhole-rejection livecell imaging) | L1-532 | unregistered | Microscopy | 📋 Stub — not mineable | 3 | 2.3 | 0 | 0 |
| Confocal Z-Stack (3D axial deconvolution) | L1-533 | unregistered | Microscopy | 📋 Stub — not mineable | 3 | 3 | 0 | 0 |
| Coded Aperture Snapshot Spectral Imaging (CASSI) | L1-025 | unregistered | Compressive Imaging | 📋 Stub — not mineable | 3 | 3.7 | 0 | 0 |
| Single-Pixel Imaging (random basis compressive sensing) | L1-026 | unregistered | Compressive Imaging | 📋 Stub — not mineable | 3 | 3 | 0 | 0 |
| Coded Aperture Compressive Temporal Imaging (CACTI) | L1-027 | unregistered | Compressive Imaging | 📋 Stub — not mineable | 3 | 2 | 0 | 0 |
| Positron Emission Tomography (PET) | L1-033 | unregistered | Medical Imaging | 📋 Stub — not mineable | 5 | 3.6 | 0 | 0 |
| Single-Photon Emission Computed Tomography (SPECT) | L1-034 | unregistered | Medical Imaging | 📋 Stub — not mineable | 5 | 3.5 | 0 | 0 |
| Diffuse Optical Tomography (DOT) | L1-040 | unregistered | Medical Imaging | 📋 Stub — not mineable | 10 | 4 | 0 | 0 |
| Photoacoustic Tomography (PAT) | L1-041 | unregistered | Medical Imaging | 📋 Stub — not mineable | 5 | 4.2 | 0 | 0 |
| Optical Coherence Tomography (OCT) | L1-042 | unregistered | Medical Imaging | 📋 Stub — not mineable | 3 | 3.5 | 0 | 0 |
| Fiber-Optic Endoscopy | L1-048 | unregistered | Medical Imaging | 📋 Stub — not mineable | 3 | 3 | 0 | 0 |
| Fundus Imaging (retinal photography) | L1-049 | unregistered | Medical Imaging | 📋 Stub — not mineable | 1 | 2.2 | 0 | 0 |
| OCT Angiography (OCTA) | L1-050 | unregistered | Medical Imaging | 📋 Stub — not mineable | 3 | 3.5 | 0 | 0 |
| Proton Therapy (proton-beam radiation dose imaging) | L1-051 | unregistered | Medical Imaging | 📋 Stub — not mineable | 5 | 4 | 0 | 0 |
| Brachytherapy Dose Imaging | L1-052 | unregistered | Medical Imaging | 📋 Stub — not mineable | 3 | 3.2 | 0 | 0 |
| Confocal Laser Endomicroscopy (CLE) | L1-064 | unregistered | Medical Imaging | 📋 Stub — not mineable | 3 | 3.3 | 0 | 0 |
| Functional Near-Infrared Spectroscopy (fNIRS) | L1-065 | unregistered | Medical Imaging | 📋 Stub — not mineable | 5 | 3.5 | 0 | 0 |
| PillCam-SPECTRA Optical-Property Recovery (analytical core) | L1-511 | unregistered | Medical Imaging | 📋 Stub — not mineable | 3 | 4.9 | 0 | 0 |
| PillCam-SPECTRA Bleeding-Region Detection (PWDR) | L1-512 | unregistered | Medical Imaging | 📋 Stub — not mineable | 3 | 6.9 | 0 | 0 |
| Diabetic Retinopathy Grading from Fundus Imaging (PWDR) | L1-513 | unregistered | Medical Imaging | 📋 Stub — not mineable | 3 | 5 | 0 | 0 |
| Dermoscopy Skin Lesion Malignancy Classification (PWDR) | L1-517 | unregistered | Medical Imaging | 📋 Stub — not mineable | 3 | 4.9 | 0 | 0 |
| Glaucoma Optic-Disc Cupping Classification (PWDR) | L1-529 | unregistered | Medical Imaging | 📋 Stub — not mineable | 3 | 5.6 | 0 | 0 |
| Age-Related Macular Degeneration OCT Grading (PWDR) | L1-530 | unregistered | Medical Imaging | 📋 Stub — not mineable | 3 | 5.6 | 0 | 0 |
| Ptychography (scanning coherent diffraction with probe overlap) | L1-070 | unregistered | Coherent Imaging | 📋 Stub — not mineable | 5 | 4.5 | 0 | 0 |
| Digital Holography (off-axis and in-line intensity holograms) | L1-071 | unregistered | Coherent Imaging | 📋 Stub — not mineable | 3 | 3.3 | 0 | 0 |
| Coherent Diffraction Imaging (CDI) — lensless phase retrieval | L1-072 | unregistered | Coherent Imaging | 📋 Stub — not mineable | 5 | 3.5 | 0 | 0 |
| Optical Diffraction Tomography (ODT) — 3D refractive-index imaging | L1-073 | unregistered | Coherent Imaging | 📋 Stub — not mineable | 5 | 3.8 | 0 | 0 |
| Lensless Imaging with Diffuser PSF (DiffuserCam) | L1-075 | unregistered | Computational Photography | 📋 Stub — not mineable | 3 | 2.6 | 0 | 0 |
| Multi-Focus / Panorama Fusion (all-in-focus composite imaging) | L1-076 | unregistered | Computational Photography | 📋 Stub — not mineable | 3 | 3 | 0 | 0 |
| Coded-Exposure Imaging for Motion Deblur | L1-077 | unregistered | Computational Photography | 📋 Stub — not mineable | 3 | 2.5 | 0 | 0 |
| Event Camera (DVS) — intensity reconstruction from asynchronous events | L1-078 | unregistered | Computational Photography | 📋 Stub — not mineable | 5 | 2.8 | 0 | 0 |
| High Dynamic Range (HDR) Imaging via Multi-Exposure Fusion | L1-079 | unregistered | Computational Photography | 📋 Stub — not mineable | 3 | 3.1 | 0 | 0 |
| Light-Field (Plenoptic) Imaging | L1-080 | unregistered | Computational Optics | 📋 Stub — not mineable | 3 | 3.2 | 0 | 0 |
| Integral Photography (Lippmann-style MLA capture + reconstruction) | L1-081 | unregistered | Computational Optics | 📋 Stub — not mineable | 3 | 3 | 0 | 0 |
| Neural Radiance Fields (NeRF) — implicit volumetric scene representation | L1-082 | unregistered | Computational Optics | 📋 Stub — not mineable | 5 | 4 | 0 | 0 |
| 3D Gaussian Splatting (3DGS) — explicit real-time rendering | L1-083 | unregistered | Computational Optics | 📋 Stub — not mineable | 5 | 3.5 | 0 | 0 |
| Amplitude-Modulated Continuous-Wave Time-of-Flight (AMCW-ToF) Depth | L1-095 | unregistered | Depth Imaging | 📋 Stub — not mineable | 3 | 3.2 | 0 | 0 |
| Scanning LiDAR (pulsed direct Time-of-Flight) | L1-096 | unregistered | Depth Imaging | 📋 Stub — not mineable | 3 | 3 | 0 | 0 |
| Structured-Light 3D Imaging (projector-camera triangulation) | L1-097 | unregistered | Depth Imaging | 📋 Stub — not mineable | 3 | 3.2 | 0 | 0 |
| Photometric Stereo (shape-from-shading with multiple light directions) | L1-098 | unregistered | Depth Imaging | 📋 Stub — not mineable | 3 | 3.2 | 0 | 0 |
| Flash LiDAR (single-shot 2D SPAD-array direct ToF) | L1-099 | unregistered | Depth Imaging | 📋 Stub — not mineable | 3 | 3 | 0 | 0 |
| Hyperspectral Imaging (pushbroom / AVIRIS-style) | L1-102 | unregistered | Remote Sensing | 📋 Stub — not mineable | 3 | 3 | 0 | 0 |
| Multispectral Imaging (Landsat/Sentinel-2) | L1-103 | unregistered | Remote Sensing | 📋 Stub — not mineable | 1 | 2.5 | 0 | 0 |
| Ocean Color Remote Sensing (chlorophyll / CDOM / TSM) | L1-110 | unregistered | Remote Sensing | 📋 Stub — not mineable | 3 | 3.5 | 0 | 0 |
| Active Thermography (pulsed / lock-in IR inspection) | L1-115 | unregistered | Industrial Inspection | 📋 Stub — not mineable | 3 | 3 | 0 | 0 |
| Terahertz Imaging (0.1-10 THz time-domain / CW) | L1-116 | unregistered | Industrial Inspection | 📋 Stub — not mineable | 5 | 3.3 | 0 | 0 |
| Automated Optical Inspection (AOI) for PCB / manufacturing defects | L1-117 | unregistered | Industrial Inspection | 📋 Stub — not mineable | 1 | 2.5 | 0 | 0 |
| Shearography (ESPI-based strain imaging) | L1-119 | unregistered | Industrial Inspection | 📋 Stub — not mineable | 5 | 3.5 | 0 | 0 |
| Digital Image Correlation (DIC) for full-field strain | L1-123 | unregistered | Industrial Inspection | 📋 Stub — not mineable | 3 | 3 | 0 | 0 |
| Streak Camera — picosecond 1D time-resolved imaging | L1-149 | unregistered | Ultrafast Imaging | 📋 Stub — not mineable | 5 | 3.3 | 0 | 0 |
| Pump-Probe Spectroscopy / Imaging | L1-150 | unregistered | Ultrafast Imaging | 📋 Stub — not mineable | 5 | 3.5 | 0 | 0 |
| Compressed Ultrafast Photography (CUP) — trillion fps imaging | L1-151 | unregistered | Ultrafast Imaging | 📋 Stub — not mineable | 10 | 4.5 | 0 | 0 |
| Ghost Imaging (correlated-photon imaging) | L1-153 | unregistered | Quantum Imaging | 📋 Stub — not mineable | 10 | 4.2 | 0 | 0 |
| Quantum Illumination — entanglement-enhanced target detection | L1-154 | unregistered | Quantum Imaging | 📋 Stub — not mineable | 10 | 4.5 | 0 | 0 |
| Entangled-Photon Microscopy (N00N / SPDC imaging) | L1-155 | unregistered | Quantum Imaging | 📋 Stub — not mineable | 10 | 4.5 | 0 | 0 |
| PET-CT Fusion (metabolism + anatomy) | L1-156 | unregistered | Multimodal Fusion | 📋 Stub — not mineable | 3 | 3.5 | 0 | 0 |
| PET-MR Fusion (molecular + multi-contrast soft tissue) | L1-157 | unregistered | Multimodal Fusion | 📋 Stub — not mineable | 5 | 3.8 | 0 | 0 |
| SPECT-CT Fusion | L1-158 | unregistered | Multimodal Fusion | 📋 Stub — not mineable | 3 | 3.3 | 0 | 0 |
| CT-FLIT (Fluorescence Lifetime Imaging Tomography) | L1-160 | unregistered | Multimodal Fusion | 📋 Stub — not mineable | 10 | 4.5 | 0 | 0 |
| Near-Field Scanning Optical Microscopy (NSOM/SNOM) | L1-164 | unregistered | Scanning Probe | 📋 Stub — not mineable | 5 | 3.8 | 0 | 0 |
| Gamma-Ray Shielding — deep-penetration attenuation | L1-361 | unregistered | Nuclear Engineering | 📋 Stub — not mineable | 5 | 3 | 0 | 0 |
| Decay Heat — residual power after reactor shutdown | L1-363 | unregistered | Nuclear Engineering | 📋 Stub — not mineable | 3 | 2.8 | 0 | 0 |
| Image Deblurring (non-blind and blind deconvolution) | L1-382 | unregistered | Signal Processing | 📋 Stub — not mineable | 3 | 2 | 0 | 0 |
| Image Super-Resolution (single-image) | L1-383 | unregistered | Signal Processing | 📋 Stub — not mineable | 3 | 2.7 | 0 | 0 |
| Image Inpainting (masked region recovery) | L1-384 | unregistered | Signal Processing | 📋 Stub — not mineable | 3 | 2 | 0 | 0 |
| Image Denoising (Gaussian, Poisson, mixed) | L1-385 | unregistered | Signal Processing | 📋 Stub — not mineable | 2 | 1 | 0 | 0 |
| X-ray Crystallography (single-crystal diffraction) | L1-125 | unregistered | Scientific Instrumentation | 📋 Stub — not mineable | 5 | 3 | 0 | 0 |
| SAXS — Small-Angle X-ray Scattering | L1-126 | unregistered | Scientific Instrumentation | 📋 Stub — not mineable | 3 | 2.7 | 0 | 0 |
| WAXS — Wide-Angle X-ray Scattering | L1-133 | unregistered | Scientific Instrumentation | 📋 Stub — not mineable | 3 | 2.7 | 0 | 0 |
| XRF Tomography — X-ray Fluorescence CT | L1-134 | unregistered | Scientific Instrumentation | 📋 Stub — not mineable | 3 | 3 | 0 | 0 |
| Raman Imaging (spontaneous inelastic photon scattering) | L1-137 | unregistered | Spectroscopy | 📋 Stub — not mineable | 3 | 2.7 | 0 | 0 |
| CARS — Coherent Anti-Stokes Raman Scattering | L1-138 | unregistered | Spectroscopy | 📋 Stub — not mineable | 5 | 3 | 0 | 0 |
| SRS — Stimulated Raman Scattering microscopy | L1-139 | unregistered | Spectroscopy | 📋 Stub — not mineable | 3 | 3 | 0 | 0 |
| FTIR Imaging — Fourier-Transform Infrared Hyperspectral Microscopy | L1-140 | unregistered | Spectroscopy | 📋 Stub — not mineable | 3 | 2.7 | 0 | 0 |
| LIBS — Laser-Induced Breakdown Spectroscopy imaging | L1-141 | unregistered | Spectroscopy | 📋 Stub — not mineable | 5 | 3 | 0 | 0 |
| Brillouin Microscopy (acousto-optic inelastic scattering) | L1-142 | unregistered | Spectroscopy | 📋 Stub — not mineable | 3 | 2.7 | 0 | 0 |
| UV-Vis Spectroscopy / Imaging (electronic absorption) | L1-145 | unregistered | Spectroscopy | 📋 Stub — not mineable | 1 | 2 | 0 | 0 |
| XAS / EXAFS — X-ray Absorption & Extended X-ray Absorption Fine Structure | L1-147 | unregistered | Spectroscopy | 📋 Stub — not mineable | 5 | 3 | 0 | 0 |