Methods — solution mechanisms across the atlas
Generated by docs/atlas/generate.jl — a pure VIEW over the *_registry.jl claims + the static test/INVENTORY.jsonl AST scan. No test is executed and no src is run; test/INVENTORY.jsonl is regenerated in-place (idempotently) from that static scan; fetch/@register untouched. Assurance labels are PROVISIONAL: residuals / confidence are not shown yet (RES not wired). Badges reflect the committed test AST, not the latest CI run — a hub can read green while its @test is red between regenerations. @sweep = a graceful regime-resolution gap, not card omission.
Every distinct method=:X value used in any @register(...) across the atlas (37 unique methods). For each one we list which hubs use it - a solution-technique view: high-count entries are central machinery (analytic, denseed, ...), low-count entries are model-specific (e.g. `betheansatz` for the integrable models).
Symmetric with Bibliography (which groups by citation): both decompose hubs along orthogonal axes of the @register metadata.
analytic - 174 hubs
- 🟢
AKLT1D/CorrelationLength/Infinite - 🟢
AKLT1D/Energy/Infinite - 🟢
AKLT1D/FreeEnergy/Infinite - 🟢
AKLT1D/FreeEnergy/OBC - 🟢
AKLT1D/FreeEnergy/PBC - 🟢
AKLT1D/GroundStateEnergyDensity/Infinite - 🟢
AKLT1D/SpecificHeat/Infinite - 🟢
AKLT1D/SpecificHeat/OBC - 🟢
AKLT1D/SpecificHeat/PBC - 🟢
AKLT1D/StringOrderParameter/Infinite - 🟢
AKLT1D/SusceptibilityZZ/Infinite - 🟢
AKLT1D/SusceptibilityZZ/PBC - 🟢
AKLT1D/ThermalEntropy/Infinite - 🟢
AKLT1D/ThermalEntropy/OBC - 🟢
AKLT1D/ThermalEntropy/PBC - 🟢
AKLT1D/ZZCorrelation/Infinite - 🟢
AKLT1D/ZZStructureFactor/Infinite - 🟢
AKLT2D/Energy/Infinite - 🟢
BCFT/ResidualEntropy/Infinite - 🟠
Bound/BB84KeyRate/Infinite - 🟠
Bound/BekensteinBound/Infinite - 🟠
Bound/CHSHBound/Infinite - 🟠
Bound/ChaosBound/Infinite - 🟠
Bound/MerminGHZBound/Infinite - 🟠
Bound/OptimalCloningFidelity/Infinite - 🟠
Bound/QuantumSpeedLimit/Infinite - 🟠
Bound/ScramblingTime/Infinite - ⚪
ChernSimons3D/PartitionFunction/Infinite - 🟢
Cluster1D/Energy/Infinite - 🟢
Cluster1D/MassGap/Infinite - 🟢
Compass1D/MassGap/Infinite - 🟢
CurieWeissIsing/CriticalTemperature/Infinite - 🟠
CurieWeissIsing/Energy/Infinite - 🟢
CurieWeissIsing/FreeEnergy/Infinite - 🟢
CurieWeissIsing/SpecificHeat/Infinite - 🟢
CurieWeissIsing/SpontaneousMagnetization/Infinite - 🟢
CurieWeissIsing/SusceptibilityZZ/Infinite - 🟢
CurieWeissIsing/ThermalEntropy/Infinite - 🟠
CurieWeissIsing/UniversalityClass/Infinite - 🟠
DimerLattice/FreeEnergy/Infinite - 🟢
DimerLattice/PartitionFunction/OBC - 🟠
DimerLattice/ResidualEntropy/Infinite - 🟠
DimerLattice/UniversalityClass/Infinite - 🟢
FibonacciAnyons/TopologicalEntanglementEntropy/Infinite - 🟢
GrossNeveu/MassGap/Infinite - 🟠
HaldaneShastry/GroundStateEnergyDensity/Infinite - 🟠
HaldaneShastry/UniversalityClass/Infinite - 🟢
Heisenberg1D/MassGap/Infinite - 🟠
Heisenberg1D/UniversalityClass/Infinite - 🟢
Hubbard1D/LuttingerParameter/Infinite - 🟢
Hubbard1D/SpinGap/Infinite - 🟢
IsingChain1D/CorrelationLength/Infinite - 🟢
IsingChain1D/CriticalTemperature/Infinite - 🟠
IsingChain1D/Energy/Infinite - 🟢
IsingChain1D/FreeEnergy/Infinite - 🟢
IsingChain1D/SpecificHeat/Infinite - 🟢
IsingChain1D/SpontaneousMagnetization/Infinite - 🟢
IsingChain1D/SusceptibilityZZ/Infinite - 🟢
IsingChain1D/ThermalEntropy/Infinite - 🟢
IsingSquare/CriticalTemperature/Infinite - 🟢
IsingSquare/SpontaneousMagnetization/Infinite - 🟠
IsingSquare/UniversalityClass/Infinite - 🟢
IsingTriangular/CriticalTemperature/Infinite - 🟠
IsingTriangular/Energy/Infinite - 🟠
IsingTriangular/FreeEnergy/Infinite - 🟢
IsingTriangular/ResidualEntropy/Infinite - 🟠
IsingTriangular/SpecificHeat/Infinite - 🟠
IsingTriangular/SpontaneousMagnetization/Infinite - 🟠
IsingTriangular/ThermalEntropy/Infinite - 🟠
IsingTriangular/UniversalityClass/Infinite - 🟠
IsingTriangular/ZZCorrelation/Infinite - ⚪
KagomeHeisenbergAFM/TopologicalEntanglementEntropy/Infinite - 🟢
Kitaev1D/CorrelationLength/Infinite - 🟢
Kitaev1D/MassGap/Infinite - 🟠
Kitaev1D/UniversalityClass/Infinite - 🟢
KitaevHoneycomb/MassGap/Infinite - 🟢
LiouvilleCFT/CentralCharge/Infinite - 🟢
LiouvilleCFT/ConformalWeights/Infinite - 🟢
LogarithmicCFT/CentralCharge/Infinite - 🟢
LongRangeXY1D/MassGap/Infinite - 🟢
MajumdarGhosh/GroundStateEnergyDensity/Infinite - 🟢
MajumdarGhosh/GroundStateEnergyDensity/PBC - ⚪
MajumdarGhosh/MassGap/Infinite - 🟢
PpIp2DSC/CentralCharge/Infinite - 🟢
PpIp2DSC/TopologicalInvariant/Infinite - 🟢
SLEkappa/CentralCharge/Infinite - 🟢
SLEkappa/FractalDimension/Infinite - 🟢
SSH/CorrelationLength/Infinite - 🟢
SSH/Energy/Infinite - 🟠
SSH/FreeEnergy/Infinite - 🟢
SSH/MassGap/Infinite - 🟠
SSH/SpecificHeat/Infinite - 🟠
SSH/ThermalEntropy/Infinite - 🟢
SSH/TopologicalInvariant/Infinite - 🟠
SSH/UniversalityClass/Infinite - 🟢
SYK/ConformalWeights/Infinite - 🟢
SchwingerModel/ChiralCondensate/Infinite - 🟢
SchwingerModel/MassGap/Infinite - 🟢
SherringtonKirkpatrick/CriticalTemperature/Infinite - 🟢
SixVertex/FreeEnergy/Infinite - 🔵
SixVertex/Polarization/Infinite - 🟢
SixVertex/ResidualEntropy/Infinite - 🟠
SixVertex/UniversalityClass/Infinite - 🟢
SpinIce/ResidualEntropy/Infinite - 🟢
TASEP/SteadyStateCurrent/Infinite - 🟠
TASEP/UniversalityClass/Infinite - 🟢
TFIM/CentralCharge/Infinite - 🟢
TFIM/CorrelationLength/Infinite - 🟢
TFIM/FidelitySusceptibility/Infinite - 🟢
TFIM/FreeEnergy/Infinite - 🔵
TFIM/GGEValue/Infinite - 🟠
TFIM/LiebRobinsonBound/Infinite - 🟢
TFIM/LoschmidtEcho/Infinite - 🔵
TFIM/MagnetizationXLocal/Infinite - 🟢
TFIM/MagnetizationY/OBC - 🟢
TFIM/MagnetizationZ/Infinite - 🟢
TFIM/MassGap/Infinite - 🟠
TFIM/NMRRelaxationExponent/Infinite - 🟢
TFIM/SpontaneousMagnetization/Infinite - 🟠
TFIM/UniversalityClass/Infinite - 🟢
TTbar/CentralCharge/Infinite - 🟢
TightBinding1D/Energy/Infinite - 🟠
TightBinding1D/Energy/OBC - 🟠
TightBinding1D/Energy/PBC - 🟢
TightBinding1D/FermiVelocity/Infinite - 🟠
TightBinding1D/FreeEnergy/Infinite - 🟠
TightBinding1D/FreeEnergy/OBC - 🟠
TightBinding1D/FreeEnergy/PBC - 🟢
TightBinding1D/MassGap/Infinite - 🟠
TightBinding1D/MassGap/OBC - 🟠
TightBinding1D/MassGap/PBC - 🟢
TightBinding1D/NMRSpinRelaxationRate/Infinite - 🟠
TightBinding1D/NMRSpinRelaxationRate/OBC - 🟠
TightBinding1D/NMRSpinRelaxationRate/PBC - 🟠
TightBinding1D/SpecificHeat/Infinite - 🟠
TightBinding1D/SpecificHeat/OBC - 🟠
TightBinding1D/SpecificHeat/PBC - 🟠
TightBinding1D/ThermalEntropy/Infinite - 🟠
TightBinding1D/ThermalEntropy/OBC - 🟠
TightBinding1D/ThermalEntropy/PBC - 🟢
TightBindingV1D/Energy/Infinite - 🟢
TightBindingV1D/FermiVelocity/Infinite - 🟠
TightBindingV1D/FreeEnergy/Infinite - 🟢
TightBindingV1D/MassGap/Infinite - 🟠
TightBindingV1D/SpecificHeat/Infinite - 🟠
TightBindingV1D/ThermalEntropy/Infinite - ⚪
ToricCode/AnyonStatistics/Infinite - 🟢
ToricCode/GroundStateDegeneracy/PBC - 🟢
ToricCode/GroundStateEnergyDensity/Infinite - 🟢
ToricCode/MassGap/Infinite - 🟢
ToricCode/TopologicalEntanglementEntropy/Infinite - 🟢
TricriticalIsing/CentralCharge/Infinite - 🟢
TricriticalIsing/ConformalWeights/Infinite - 🟠
TricriticalIsing/PrimaryFields/Infinite - 🟠
TricriticalIsing/UniversalityClass/Infinite - 🟢
TricriticalPotts3/ConformalWeights/Infinite - 🟠
TricriticalPotts3/PrimaryFields/Infinite - 🟠
TricriticalPotts3/UniversalityClass/Infinite - 🟢
Universality/ConformalTower/OBC - 🟢
Universality/ConformalTower/PBC - 🟠
Universality/UniversalityClass/Infinite - 🟢
XCube/GroundStateDegeneracy/PBC - 🟢
XXZ1D/CentralCharge/Infinite - 🟢
XXZ1D/LuttingerParameter/Infinite - 🟢
XXZ1D/LuttingerVelocity/Infinite - 🟢
XXZ1D/MassGap/Infinite - 🟢
XXZ1D/NMRRelaxationExponent/Infinite - 🟠
XXZ1D/UniversalityClass/Infinite - 🟠
XYh1D/MassGap/Infinite - 🟠
XYh1D/MassGap/PBC - 🟠
YangLee/UniversalityClass/Infinite - 🟠
ZnClock/UniversalityClass/Infinite - 🟢
ZnParafermion/CentralCharge/Infinite - 🟠
ZnParafermion/UniversalityClass/Infinite
dense_ed - 56 hubs
- 🟠
AKLT1D/ExactSpectrum/OBC - 🟢
Heisenberg1D/Energy/OBC - 🟠
Heisenberg1D/EnergyLocal/OBC - 🟢
Heisenberg1D/FreeEnergy/OBC - 🔵
Heisenberg1D/MagnetizationX/OBC - 🟠
Heisenberg1D/MagnetizationXLocal/OBC - 🔵
Heisenberg1D/MagnetizationY/OBC - 🟠
Heisenberg1D/MagnetizationYLocal/OBC - 🔵
Heisenberg1D/MagnetizationZ/OBC - 🟠
Heisenberg1D/MagnetizationZLocal/OBC - 🟢
Heisenberg1D/MassGap/OBC - 🟢
Heisenberg1D/RenyiEntropy/OBC - 🟢
Heisenberg1D/SpecificHeat/OBC - 🟢
Heisenberg1D/SusceptibilityXX/OBC - 🟢
Heisenberg1D/SusceptibilityYY/OBC - 🟢
Heisenberg1D/SusceptibilityZZ/OBC - 🟢
Heisenberg1D/ThermalEntropy/OBC - 🟢
Heisenberg1D/VonNeumannEntropy/OBC - 🟢
S1Heisenberg1D/Energy/OBC - 🟠
S1Heisenberg1D/EnergyLocal/OBC - 🟢
S1Heisenberg1D/FreeEnergy/OBC - 🔵
S1Heisenberg1D/MagnetizationX/OBC - 🟠
S1Heisenberg1D/MagnetizationXLocal/OBC - 🔵
S1Heisenberg1D/MagnetizationY/OBC - 🔵
S1Heisenberg1D/MagnetizationZ/OBC - 🟠
S1Heisenberg1D/MagnetizationZLocal/OBC - 🟠
S1Heisenberg1D/MassGap/OBC - 🟢
S1Heisenberg1D/RenyiEntropy/OBC - 🟢
S1Heisenberg1D/SpecificHeat/OBC - 🟢
S1Heisenberg1D/SusceptibilityXX/OBC - 🟢
S1Heisenberg1D/SusceptibilityYY/OBC - 🟢
S1Heisenberg1D/SusceptibilityZZ/OBC - 🟢
S1Heisenberg1D/ThermalEntropy/OBC - 🟢
S1Heisenberg1D/VonNeumannEntropy/OBC - 🟢
S1Heisenberg1D/XXCorrelation/OBC - 🟢
S1Heisenberg1D/YYCorrelation/OBC - 🟢
S1Heisenberg1D/ZZCorrelation/OBC - 🟢
SSH/EdgeModeEnergy/OBC - 🟠
SSH/MassGap/OBC - 🟢
XXZ1D/Energy/OBC - 🟠
XXZ1D/EnergyLocal/OBC - 🟢
XXZ1D/FreeEnergy/OBC - 🔵
XXZ1D/MagnetizationX/OBC - 🟠
XXZ1D/MagnetizationXLocal/OBC - 🔵
XXZ1D/MagnetizationY/OBC - 🟠
XXZ1D/MagnetizationYLocal/OBC - 🔵
XXZ1D/MagnetizationZ/OBC - 🟠
XXZ1D/MagnetizationZLocal/OBC - 🟢
XXZ1D/MassGap/OBC - 🟢
XXZ1D/RenyiEntropy/OBC - 🟢
XXZ1D/SpecificHeat/OBC - 🟢
XXZ1D/SusceptibilityXX/OBC - 🟢
XXZ1D/SusceptibilityYY/OBC - 🟢
XXZ1D/SusceptibilityZZ/OBC - 🟢
XXZ1D/ThermalEntropy/OBC - 🟢
XXZ1D/VonNeumannEntropy/OBC
bdg - 49 hubs
- 🟢
Kitaev1D/EdgeModeEnergy/OBC - 🟢
Kitaev1D/Energy/Infinite - 🟠
Kitaev1D/FreeEnergy/Infinite - 🟢
Kitaev1D/MassGap/OBC - 🟠
Kitaev1D/SpecificHeat/Infinite - 🟠
Kitaev1D/ThermalEntropy/Infinite - 🟢
TFIM/Energy/Infinite - 🟢
TFIM/Energy/OBC - 🟢
TFIM/Energy/PBC - 🟠
TFIM/EnergyLocal/OBC - 🟢
TFIM/FidelitySusceptibility/OBC - 🟢
TFIM/FreeEnergy/Infinite - 🟢
TFIM/FreeEnergy/OBC - 🟢
TFIM/FreeEnergy/PBC - 🟢
TFIM/LoschmidtEcho/OBC - 🟢
TFIM/MagnetizationX/Infinite - 🟢
TFIM/MagnetizationX/OBC - 🟢
TFIM/MagnetizationX/PBC - 🟠
TFIM/MagnetizationXLocal/OBC - 🟠
TFIM/MagnetizationZLocal/OBC - 🟢
TFIM/MassGap/OBC - 🟠
TFIM/MassGap/PBC - 🟠
TFIM/NMRSpinRelaxationRate/Infinite - 🟠
TFIM/NMRSpinRelaxationRate/OBC - 🟢
TFIM/RenyiEntropy/OBC - 🔵
TFIM/SpecificHeat/Infinite - 🟢
TFIM/SpecificHeat/OBC - 🟢
TFIM/SpecificHeat/PBC - 🟠
TFIM/SusceptibilityXX/Infinite - 🟢
TFIM/SusceptibilityXX/OBC - 🟢
TFIM/SusceptibilityXX/PBC - 🟠
TFIM/SusceptibilityZZ/Infinite - 🟢
TFIM/SusceptibilityZZ/OBC - 🔵
TFIM/ThermalEntropy/Infinite - 🟢
TFIM/ThermalEntropy/OBC - 🟢
TFIM/ThermalEntropy/PBC - 🟢
TFIM/VonNeumannEntropy/OBC - 🟢
TFIM/XXCorrelation/OBC - 🟢
TFIM/ZZCorrelation/OBC - 🔵
TFIM/ZZStructureFactor/Infinite - 🔵
TFIM/ZZStructureFactor/OBC - 🟠
XYh1D/Energy/OBC - 🟠
XYh1D/EnergyLocal/OBC - 🟠
XYh1D/MagnetizationXLocal/OBC - 🟠
XYh1D/MagnetizationYLocal/OBC - 🟠
XYh1D/MagnetizationZ/OBC - 🟠
XYh1D/MagnetizationZLocal/OBC - 🟠
XYh1D/MassGap/OBC - 🟠
XYh1D/SusceptibilityZZ/OBC
delegation - 19 hubs
- 🟠
CurieWeissIsing/CriticalExponents/Infinite - 🟢
DMIHeisenberg1D/Energy/Infinite - 🔵
ExtendedHubbard1D/ChargeGap/Infinite - 🟠
HaldaneShastry/RenyiEntropy/Infinite - 🟠
HaldaneShastry/VonNeumannEntropy/Infinite - 🔵
Heisenberg1D/LuttingerParameter/Infinite - 🟠
Heisenberg1D/RenyiEntropy/Infinite - 🟠
Heisenberg1D/VonNeumannEntropy/Infinite - 🔵
HeisenbergXYZ/LuttingerParameter/Infinite - 🟠
IsingSquare/CriticalExponents/Infinite - 🟠
IsingTriangular/CriticalExponents/Infinite - 🟢
J1J2Heisenberg1D/Energy/Infinite - 🔵
LongRangeIsing1D/MassGap/Infinite - 🔵
MixedFieldIsing1D/MassGap/Infinite - 🔵
RandomBondIsing2D/CentralCharge/Infinite - 🟠
TFIM/CriticalExponents/Infinite - 🟠
XXZ1D/RenyiEntropy/Infinite - 🟠
XXZ1D/VonNeumannEntropy/Infinite - 🟢
ZnClock/CentralCharge/Infinite
pfaffian - 9 hubs
- 🟢
Kitaev1D/TopologicalInvariant/Infinite - 🟢
TFIM/SusceptibilityYY/OBC - 🟢
TFIM/XXCorrelation/Infinite - 🟢
TFIM/XXCorrelation/OBC - 🔵
TFIM/XXStructureFactor/Infinite - 🟢
TFIM/XXStructureFactor/OBC - 🟢
TFIM/YYCorrelation/OBC - 🔵
TFIM/YYStructureFactor/Infinite - 🟢
TFIM/YYStructureFactor/OBC
matter_free_fermion - 9 hubs
- ⚪
KitaevHoneycomb/Energy/Infinite - ⚪
KitaevHoneycomb/Energy/OBC - ⚪
KitaevHoneycomb/Energy/PBC - 🔵
KitaevHoneycomb/FreeEnergy/Infinite - ⚪
KitaevHoneycomb/FreeEnergy/OBC - 🔵
KitaevHoneycomb/SpecificHeat/Infinite - 🔵
KitaevHoneycomb/SpecificHeat/OBC - 🔵
KitaevHoneycomb/ThermalEntropy/Infinite - 🔵
KitaevHoneycomb/ThermalEntropy/OBC
bloch_diagonalization - 8 hubs
- 🟠
Honeycomb/TightBindingChecksum/Infinite - 🟠
Honeycomb/TightBindingMaxEnergy/Infinite - 🟠
Kagome/TightBindingChecksum/Infinite - 🟠
Kagome/TightBindingMaxEnergy/Infinite - 🟠
Lieb/TightBindingChecksum/Infinite - 🟠
Lieb/TightBindingMaxEnergy/Infinite - 🟠
Triangular/TightBindingChecksum/Infinite - 🟠
Triangular/TightBindingMaxEnergy/Infinite
bethe_ansatz - 7 hubs
- 🟢
Heisenberg1D/GroundStateEnergyDensity/Infinite - 🔵
Hubbard1D/ChargeGap/Infinite - 🟠
Hubbard1D/Energy/Infinite - 🔵
Hubbard1D/GroundStateEnergyDensity/Infinite - 🟠
Hubbard1D/MassGap/Infinite - 🟢
XXZ1D/Energy/Infinite - 🟢
XXZ1D/GroundStateEnergyDensity/Infinite
central_diff - 6 hubs
- 🔵
IsingSquare/Energy/Infinite - 🟢
IsingSquare/Energy/PBC - 🟠
IsingSquare/SpecificHeat/Infinite - 🟢
IsingSquare/SpecificHeat/PBC - 🔵
IsingSquare/ThermalEntropy/Infinite - 🟢
IsingSquare/ThermalEntropy/PBC
cft_low_T - 6 hubs
- 🟠
HaldaneShastry/FreeEnergy/Infinite - 🟠
HaldaneShastry/SpecificHeat/Infinite - 🟠
HaldaneShastry/ThermalEntropy/Infinite - 🟠
Heisenberg1D/FreeEnergy/Infinite - 🟠
Heisenberg1D/SpecificHeat/Infinite - 🟠
Heisenberg1D/ThermalEntropy/Infinite
cft - 5 hubs
- 🟠
Heisenberg1D/ConformalTower/PBC - 🟠
TFIM/ConformalTower/OBC - 🟠
TFIM/ConformalTower/PBC - 🟠
TFIM/RenyiEntropy/Infinite - 🟠
TFIM/VonNeumannEntropy/Infinite
closed_form - 5 hubs
- 🟠
HeisenbergXYZ/CorrelationLength/Infinite - 🟠
HeisenbergXYZ/GroundStateEnergyDensity/Infinite - 🟠
HeisenbergXYZ/MassGap/Infinite - 🟠
HeisenbergXYZ/SpontaneousMagnetization/Infinite - 🟠
TFIM/LiebRobinsonVelocity/Infinite
dmrg_reference - 4 hubs
- ⚪
KagomeHeisenbergAFM/Energy/Infinite - ⚪
KagomeHeisenbergAFM/MassGap/Infinite - ⚪
MajumdarGhosh/SpinGap/Infinite - ⚪
PXP1D/Energy/Infinite
s1_heisenberg_delegation - 4 hubs
- 🔵
S1AnisotropicD1D/Energy/Infinite - 🔵
S1AnisotropicD1D/MassGap/Infinite - 🔵
S1XXZ1D/Energy/Infinite - 🔵
S1XXZ1D/MassGap/Infinite
htse - 3 hubs
literature_value - 3 hubs
minimal_model_delegation - 3 hubs
- 🟢
TricriticalPotts3/CentralCharge/Infinite - 🟢
YangLee/CentralCharge/Infinite - ⚪
YangLee/ConformalWeights/Infinite