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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Carrierphoton (124)N/A (70)mechanical (55)acoustic (42)electron (41)em (31)radio_wave (29)none (28)

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.

Title	ID	Chain	Domain	Tier	δ	L_DAG
Extended Kalman Filter (EKF)	L1-428	unregistered	Control Theory	📋 Stub — not mineable	3	3
Unscented Kalman Filter (UKF)	L1-429	unregistered	Control Theory	📋 Stub — not mineable	3	3
4D-Var Data Assimilation	L1-435	unregistered	Control Theory	📋 Stub — not mineable	5	4.5
Nonlinear Observer Design	L1-437	unregistered	Control Theory	📋 Stub — not mineable	5	3.5
Photogrammetry Structure-from-Motion	L1-470	unregistered	Geodesy	📋 Stub — not mineable	3	3.5
Charged Particle Track Reconstruction	L1-484	unregistered	Particle Physics	📋 Stub — not mineable	5	4
Optimal Experimental Design	L1-500	unregistered	Optimization	📋 Stub — not mineable	5	2.8
Self-Consistent Field Theory (SCFT)	L1-475	unregistered	Polymer Physics	📋 Stub — not mineable	5	3.8
Oldroyd-B Viscoelastic Constitutive Model	L1-477	unregistered	Polymer Physics	📋 Stub — not mineable	5	3.6
DLVO Colloidal Force Theory	L1-478	unregistered	Polymer Physics	📋 Stub — not mineable	3	3
Landau-de Gennes Liquid Crystal Theory	L1-479	unregistered	Polymer Physics	📋 Stub — not mineable	5	3.8
Drift-Diffusion Semiconductor Transport (TCAD)	L1-488	unregistered	Semiconductor Physics	📋 Stub — not mineable	5	4
Hydrodynamic Semiconductor Transport	L1-489	unregistered	Semiconductor Physics	📋 Stub — not mineable	5	4.2
Non-Equilibrium Green's Function (NEGF) Quantum Transport	L1-491	unregistered	Semiconductor Physics	📋 Stub — not mineable	10	4
BSIM Compact MOSFET Model	L1-492	unregistered	Semiconductor Physics	📋 Stub — not mineable	3	3.2
Solar Cell Device Physics (Shockley-Queisser + drift-diffusion)	L1-493	unregistered	Semiconductor Physics	📋 Stub — not mineable	3	3.4
LED and Laser Rate Equations	L1-494	unregistered	Semiconductor Physics	📋 Stub — not mineable	3	3.3
Thermionic Emission at Metal-Semiconductor Interfaces	L1-495	unregistered	Semiconductor Physics	📋 Stub — not mineable	3	3.1
Quantum Well and Quantum Dot Electronic Structure	L1-496	unregistered	Semiconductor Physics	📋 Stub — not mineable	5	3.6
Kohn-Sham Density Functional Theory	L1-294	unregistered	Computational Chemistry	📋 Stub — not mineable	5	3.3
Hartree-Fock Self-Consistent Field	L1-295	unregistered	Computational Chemistry	📋 Stub — not mineable	3	3.1
Post-Hartree-Fock Correlated Methods (MP2, CCSD, CI)	L1-296	unregistered	Computational Chemistry	📋 Stub — not mineable	10	4
Chemical Kinetics via Stiff ODEs	L1-300	unregistered	Computational Chemistry	📋 Stub — not mineable	3	3
Combustion Chemistry and Ignition Kinetics	L1-301	unregistered	Computational Chemistry	📋 Stub — not mineable	5	3.5
Michaelis-Menten Enzyme Kinetics	L1-302	unregistered	Computational Chemistry	📋 Stub — not mineable	1	2.5
Eyring Transition State Theory	L1-303	unregistered	Computational Chemistry	📋 Stub — not mineable	5	3.4
Semi-Empirical Quantum Chemistry (AM1, PM6, DFTB, xTB)	L1-304	unregistered	Computational Chemistry	📋 Stub — not mineable	3	3
Butler-Volmer Electrochemical Kinetics	L1-311	unregistered	Computational Chemistry	📋 Stub — not mineable	3	2.8
Time-Dependent Schrödinger Equation	L1-313	unregistered	Quantum Mechanics	📋 Stub — not mineable	5	3.5
Quantum Tunneling Through Barriers	L1-315	unregistered	Quantum Mechanics	📋 Stub — not mineable	3	3
Electronic Band Structure	L1-316	unregistered	Quantum Mechanics	📋 Stub — not mineable	5	3.2
GW Approximation for Quasiparticle Energies	L1-319	unregistered	Quantum Mechanics	📋 Stub — not mineable	10	4
Bethe-Salpeter Equation for Excitons	L1-320	unregistered	Quantum Mechanics	📋 Stub — not mineable	10	4.2
Density Matrix Renormalization Group (DMRG)	L1-322	unregistered	Quantum Mechanics	📋 Stub — not mineable	10	3.8
Lindblad Master Equation (Open Quantum Systems)	L1-324	unregistered	Quantum Mechanics	📋 Stub — not mineable	5	3.5
Electron-Phonon Coupling and Eliashberg Theory	L1-325	unregistered	Quantum Mechanics	📋 Stub — not mineable	10	3.9
Phase-Field Allen-Cahn Dynamics	L1-327	unregistered	Materials Science	📋 Stub — not mineable	5	3.5
Cahn-Hilliard Phase Separation	L1-328	unregistered	Materials Science	📋 Stub — not mineable	5	3.5
CALPHAD Thermodynamic Modeling	L1-329	unregistered	Materials Science	📋 Stub — not mineable	5	3.3
Discrete Dislocation Dynamics	L1-330	unregistered	Materials Science	📋 Stub — not mineable	5	3.8
Grain Growth and Recrystallization	L1-331	unregistered	Materials Science	📋 Stub — not mineable	3	3.1
Dendritic Solidification	L1-334	unregistered	Materials Science	📋 Stub — not mineable	5	3.8
Rubber Elasticity Theory	L1-336	unregistered	Materials Science	📋 Stub — not mineable	3	2.8
Electrochemical Corrosion Kinetics	L1-339	unregistered	Materials Science	📋 Stub — not mineable	3	3.3
Battery Electrode Electrochemistry (Newman-Doyle-Fuller)	L1-340	unregistered	Materials Science	📋 Stub — not mineable	5	4.1
Additive Manufacturing (Selective Laser Melting) Thermal Model	L1-341	unregistered	Materials Science	📋 Stub — not mineable	5	3.9
Zernike Phase-Contrast Microscopy	L1-017	unregistered	Microscopy	📋 Stub — not mineable	3	3
Differential Interference Contrast (DIC / Nomarski) Microscopy	L1-018	unregistered	Microscopy	📋 Stub — not mineable	3	3.5
Photoacoustic Tomography (PAT)	L1-041	unregistered	Medical Imaging	📋 Stub — not mineable	5	4.2
Functional MRI (BOLD)	L1-043	unregistered	Medical Imaging	📋 Stub — not mineable	10	4
Diffusion MRI (DWI / DTI / HARDI)	L1-045	unregistered	Medical Imaging	📋 Stub — not mineable	5	3.8
Elastography (Shear-Wave / Strain)	L1-047	unregistered	Medical Imaging	📋 Stub — not mineable	5	3.8
OCT Angiography (OCTA)	L1-050	unregistered	Medical Imaging	📋 Stub — not mineable	3	3.5
Magnetic Resonance Elastography (MRE)	L1-055	unregistered	Medical Imaging	📋 Stub — not mineable	5	4
Chemical Exchange Saturation Transfer (CEST) MRI	L1-056	unregistered	Medical Imaging	📋 Stub — not mineable	5	3.8
MR Fingerprinting (MRF)	L1-060	unregistered	Medical Imaging	📋 Stub — not mineable	10	4.5
Contrast-Enhanced Ultrasound (CEUS)	L1-062	unregistered	Medical Imaging	📋 Stub — not mineable	3	3.3
Electrical Impedance Tomography (EIT)	L1-066	unregistered	Medical Imaging	📋 Stub — not mineable	10	4.5
Magnetoencephalography (MEG)	L1-067	unregistered	Medical Imaging	📋 Stub — not mineable	10	4.5
Electroencephalography (EEG)	L1-068	unregistered	Medical Imaging	📋 Stub — not mineable	5	4
Magnetic Particle Imaging (MPI)	L1-069	unregistered	Medical Imaging	📋 Stub — not mineable	5	4
Quantitative Photoacoustic Tomography (qPAT)	L1-504	unregistered	Medical Imaging	📋 Stub — not mineable	5	8.5
Optical Coherence Elastography (OCE)	L1-508	unregistered	Medical Imaging	📋 Stub — not mineable	5	8.4
Photoacoustic-Ultrasound Dual-mode Imaging (PAUS)	L1-509	unregistered	Medical Imaging	📋 Stub — not mineable	5	9.5
Cardiac 4D-flow MRI with Hemodynamic Biomechanics	L1-510	unregistered	Medical Imaging	📋 Stub — not mineable	5	8.3
Neural Radiance Fields (NeRF) — implicit volumetric scene representation	L1-082	unregistered	Computational Optics	📋 Stub — not mineable	5	4
3D Gaussian Splatting (3DGS) — explicit real-time rendering	L1-083	unregistered	Computational Optics	📋 Stub — not mineable	5	3.5
Ground Penetrating Radar (GPR)	L1-104	unregistered	Remote Sensing	📋 Stub — not mineable	5	3.8
Ocean Color Remote Sensing (chlorophyll / CDOM / TSM)	L1-110	unregistered	Remote Sensing	📋 Stub — not mineable	3	3.5
Eddy-Current Testing (near-surface metallic defect detection)	L1-114	unregistered	Industrial Inspection	📋 Stub — not mineable	3	3.2
Active Thermography (pulsed / lock-in IR inspection)	L1-115	unregistered	Industrial Inspection	📋 Stub — not mineable	3	3
Magnetic Flux Leakage (MFL) — pipeline & rail inspection	L1-121	unregistered	Industrial Inspection	📋 Stub — not mineable	3	3
Guided-Wave Ultrasonic Testing (long-range pipe/rail inspection)	L1-122	unregistered	Industrial Inspection	📋 Stub — not mineable	5	3.6
Vibration-Based Damage Detection (modal analysis NDT)	L1-124	unregistered	Industrial Inspection	📋 Stub — not mineable	5	3.5
Pump-Probe Spectroscopy / Imaging	L1-150	unregistered	Ultrafast Imaging	📋 Stub — not mineable	5	3.5
PET-MR Fusion (molecular + multi-contrast soft tissue)	L1-157	unregistered	Multimodal Fusion	📋 Stub — not mineable	5	3.8
US-MRI Fusion (biopsy guidance / cardiac)	L1-159	unregistered	Multimodal Fusion	📋 Stub — not mineable	5	4
Atomic Force Microscopy (AFM)	L1-162	unregistered	Scanning Probe	📋 Stub — not mineable	3	3
Scanning Tunneling Microscopy (STM)	L1-163	unregistered	Scanning Probe	📋 Stub — not mineable	5	3.5
Magnetic Force Microscopy (MFM)	L1-165	unregistered	Scanning Probe	📋 Stub — not mineable	3	3.3
Resistive MHD — finite-resistivity plasma	L1-343	unregistered	Plasma Physics	📋 Stub — not mineable	10	3.7
Gyrokinetic — 5D reduced plasma kinetic	L1-345	unregistered	Plasma Physics	📋 Stub — not mineable	10	3.8
Grad-Shafranov — tokamak equilibrium	L1-348	unregistered	Plasma Physics	📋 Stub — not mineable	5	3.2
Hall MHD — ion-scale physics in reconnection	L1-353	unregistered	Plasma Physics	📋 Stub — not mineable	5	3.5
Burnup / Depletion — fuel nuclide evolution	L1-358	unregistered	Nuclear Engineering	📋 Stub — not mineable	5	3.3
Reactor Thermal-Hydraulics — coupled T/H with neutronics	L1-359	unregistered	Nuclear Engineering	📋 Stub — not mineable	5	3.7
Nuclear Data — R-matrix resonance evaluation	L1-362	unregistered	Nuclear Engineering	📋 Stub — not mineable	5	3.3
Incompressible Navier-Stokes — low-Mach viscous flow	L1-170	unregistered	Fluid Dynamics	📋 Stub — not mineable	5	3.5
Compressible Navier-Stokes — viscous shock/boundary-layer	L1-171	unregistered	Fluid Dynamics	📋 Stub — not mineable	5	3.7
Euler Equations — inviscid compressible	L1-172	unregistered	Fluid Dynamics	📋 Stub — not mineable	3	3.3
Boundary Layer — Prandtl / Blasius near-wall flow	L1-174	unregistered	Fluid Dynamics	📋 Stub — not mineable	3	3
RANS k-epsilon — turbulence closure	L1-176	unregistered	Fluid Dynamics	📋 Stub — not mineable	5	3.5
RANS k-omega SST — Menter's two-eq turbulence model	L1-177	unregistered	Fluid Dynamics	📋 Stub — not mineable	5	3.5
Spalart-Allmaras — one-eq turbulence model	L1-178	unregistered	Fluid Dynamics	📋 Stub — not mineable	3	3.2
LES — large-eddy simulation	L1-179	unregistered	Fluid Dynamics	📋 Stub — not mineable	10	3.8
Boussinesq Approximation — buoyant flow	L1-182	unregistered	Fluid Dynamics	📋 Stub — not mineable	3	3.3
Volume of Fluid (VOF) — multiphase interface tracking	L1-183	unregistered	Fluid Dynamics	📋 Stub — not mineable	5	3.5
Level-Set Method — implicit interface evolution	L1-184	unregistered	Fluid Dynamics	📋 Stub — not mineable	5	3.3
SPH — smoothed particle hydrodynamics	L1-186	unregistered	Fluid Dynamics	📋 Stub — not mineable	5	3.3
Richards Equation — unsaturated variably-saturated flow	L1-189	unregistered	Fluid Dynamics	📋 Stub — not mineable	5	3.3
Convection-Diffusion-Reaction — transport with source terms	L1-191	unregistered	Fluid Dynamics	📋 Stub — not mineable	3	3
Stefan Problem — fluid-side melt-front tracking	L1-193	unregistered	Fluid Dynamics	📋 Stub — not mineable	5	3.5
Fluid-Structure Interaction (FSI) — coupled fluid + solid	L1-194	unregistered	Fluid Dynamics	📋 Stub — not mineable	10	4
Steady Heat Conduction — conductivity imaging	L1-196	unregistered	Heat Transfer	📋 Stub — not mineable	5	3.2
Forced Convection — conjugate heat transfer inversion	L1-197	unregistered	Heat Transfer	📋 Stub — not mineable	5	3.5
Natural Convection — buoyancy-driven flow heat transfer	L1-198	unregistered	Heat Transfer	📋 Stub — not mineable	5	3.5
Participating Media — RTE with gas/soot emission-absorption	L1-200	unregistered	Heat Transfer	📋 Stub — not mineable	5	3.7
Conjugate Heat Transfer — coupled fluid-solid thermal	L1-201	unregistered	Heat Transfer	📋 Stub — not mineable	5	3.5
Phase Change Material — Stefan moving-boundary problem	L1-202	unregistered	Heat Transfer	📋 Stub — not mineable	5	3.5
Hyperelasticity — large-deformation rubber-like	L1-215	unregistered	Structural Mechanics	📋 Stub — not mineable	5	3.2
J2 Plasticity — von Mises rate-independent	L1-216	unregistered	Structural Mechanics	📋 Stub — not mineable	5	3.3
Crystal Plasticity — slip-system resolved plasticity	L1-217	unregistered	Structural Mechanics	📋 Stub — not mineable	10	3.8
Creep Mechanics — high-temperature rate-dependent	L1-219	unregistered	Structural Mechanics	📋 Stub — not mineable	5	3.3
Cohesive Zone Model — traction-separation interface	L1-221	unregistered	Structural Mechanics	📋 Stub — not mineable	5	3.2
Phase-Field Fracture — regularized crack model	L1-223	unregistered	Structural Mechanics	📋 Stub — not mineable	5	3.5
Frictional Contact — Coulomb / state-rate friction	L1-226	unregistered	Structural Mechanics	📋 Stub — not mineable	5	3.3
Continuum Damage Mechanics — scalar/tensor damage	L1-231	unregistered	Structural Mechanics	📋 Stub — not mineable	5	3.3
Fiber Optic — nonlinear Schrodinger pulse propagation	L1-240	unregistered	Electromagnetics	📋 Stub — not mineable	5	3.5
Mie Scattering — rigorous spherical-particle scattering	L1-243	unregistered	Electromagnetics	📋 Stub — not mineable	5	3.3
Photonic Inverse Design — nanostructure topology optimization	L1-248	unregistered	Electromagnetics	📋 Stub — not mineable	5	3.5
Metamaterial / Metasurface — effective medium inversion	L1-249	unregistered	Electromagnetics	📋 Stub — not mineable	5	3.2
Microwave Imaging — permittivity imaging for biomed/NDE	L1-255	unregistered	Electromagnetics	📋 Stub — not mineable	5	3.5
Acoustic Emission — source localization	L1-267	unregistered	Acoustics	📋 Stub — not mineable	5	3.2
Aeroacoustics — Lighthill analogy (jet/airframe noise)	L1-270	unregistered	Acoustics	📋 Stub — not mineable	10	3.8
Full Waveform Inversion (FWI) — subsurface velocity imaging	L1-273	unregistered	Geophysics	📋 Stub — not mineable	50	4.5
Surface Wave Dispersion — shallow Vs profile inversion	L1-274	unregistered	Geophysics	📋 Stub — not mineable	5	3.2
Magnetotelluric Inversion — resistivity imaging	L1-281	unregistered	Geophysics	📋 Stub — not mineable	10	3.7
Controlled-Source EM (CSEM) — resistivity for hydrocarbons	L1-282	unregistered	Geophysics	📋 Stub — not mineable	5	3.3
Electrical Resistivity Tomography (ERT) — near-surface	L1-283	unregistered	Geophysics	📋 Stub — not mineable	5	3.2
Induced Polarization — chargeability imaging	L1-284	unregistered	Geophysics	📋 Stub — not mineable	5	3.3
Mantle Convection — high-Ra thermal convection	L1-286	unregistered	Geophysics	📋 Stub — not mineable	10	4
Glacial Isostatic Adjustment (GIA) — post-glacial rebound	L1-287	unregistered	Geophysics	📋 Stub — not mineable	5	3.5
Volcanic Deformation — InSAR/GPS source modeling	L1-288	unregistered	Geophysics	📋 Stub — not mineable	5	3.3
Geothermal Reservoir — coupled thermo-hydraulic inversion	L1-290	unregistered	Geophysics	📋 Stub — not mineable	5	3.5