🟢 IsingSquare/PartitionFunction/PBC
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.
src claim
- method
transfer_matrix, statusexact, reliabilityhigh, refs: Onsager1944 - Z = tr(T^Lx) on the symmetric transfer matrix; bond-counting differs at Lx,Ly=2.
Corroboration
| regime | mechanism | independence | refs | file |
|---|---|---|---|---|
@onsager | ed_finite_size | 🟢 structural | Brute-force Σσ exp(-βE) over 2^(L²) configs (squarepbcbondpairs) | test/models/classical/test_ising_square_pfaffian.jl |
@onsager | ed_finite_size | 🟢 structural | Brute-force Σσ exp(-βE) over 2^(L²) configs (squarepbcbondpairs) | test/models/classical/test_ising_square_pfaffian.jl |
@onsager | ed_finite_size | 🟢 structural | Brute-force Σσ exp(-βE) over 2^(L²) configs (squarepbcbondpairs) | test/models/classical/test_ising_square_pfaffian.jl |
@onsager | limiting_case | 🟡 asserted | β = 0: all 2^N configs weight 1 => Z = 2^N | test/models/classical/test_ising_square_pfaffian.jl |
@onsager | ed_finite_size | 🟢 structural | Brute-force Σ_σ exp(-βE) over all 2^N configurations (independent enumeration) vs transfer-matrix Z | test/verification/tfim_ising/test_ising_2x2_classical.jl |
@onsager | ed_finite_size | 🟢 structural | Brute-force Σ_σ exp(-βE) over all 2^N configurations (independent enumeration) vs transfer-matrix Z | test/verification/tfim_ising/test_ising_2x2_classical.jl |
@onsager | ed_finite_size | 🟢 structural | Brute-force Σ_σ exp(-βE) over all 2^N configurations (independent enumeration) vs transfer-matrix Z | test/verification/tfim_ising/test_ising_2x2_classical.jl |
@onsager | ed_finite_size | 🟢 structural | Brute-force Σ_σ exp(-βE) over all 2^N configurations (independent enumeration) vs transfer-matrix Z | test/verification/tfim_ising/test_ising_2x2_classical.jl |
@onsager | ed_finite_size | 🟢 structural | Brute-force Σ_σ exp(-βE) over all 2^N configurations (independent enumeration) vs transfer-matrix Z | test/verification/tfim_ising/test_ising_2x2_classical.jl |
@onsager | ed_finite_size | 🟢 structural | Brute-force Σ_σ exp(-βE) over all 2^N configurations (independent enumeration) vs transfer-matrix Z | test/verification/tfim_ising/test_ising_2x2_classical.jl |
@onsager | ed_finite_size | 🟢 structural | Brute-force Σ_σ exp(-βE) over all 2^N configurations (independent enumeration) vs transfer-matrix Z | test/verification/tfim_ising/test_ising_2x2_classical.jl |
@onsager | ed_finite_size | 🟢 structural | Brute-force Σ_σ exp(-βE) over all 2^N configurations (independent enumeration) vs transfer-matrix Z | test/verification/tfim_ising/test_ising_2x2_classical.jl |
@onsager | ed_finite_size | 🟢 structural | Brute-force Σ_σ exp(-βE) over all 2^N configurations (independent enumeration) vs transfer-matrix Z | test/verification/tfim_ising/test_ising_2x2_classical.jl |
@onsager | ed_finite_size | 🟢 structural | Brute-force Σ_σ exp(-βE) over all 2^N configurations (independent enumeration) vs transfer-matrix Z | test/verification/tfim_ising/test_ising_2x2_classical.jl |
@onsager | ed_finite_size | 🟢 structural | Brute-force Σ_σ exp(-βE) over all 2^N configurations (independent enumeration) vs transfer-matrix Z | test/verification/tfim_ising/test_ising_2x2_classical.jl |
@onsager | ed_finite_size | 🟢 structural | Brute-force Σ_σ exp(-βE) over all 2^N configurations (independent enumeration) vs transfer-matrix Z | test/verification/tfim_ising/test_ising_2x2_classical.jl |
@onsager | ed_finite_size | 🟢 structural | Brute-force Σ_σ exp(-βE) over all 2^N configurations (independent enumeration) vs transfer-matrix Z | test/verification/tfim_ising/test_ising_2x2_classical.jl |
@onsager | ed_finite_size | 🟢 structural | Brute-force Σ_σ exp(-βE) over all 2^N configurations (independent enumeration) vs transfer-matrix Z | test/verification/tfim_ising/test_ising_2x2_classical.jl |
@onsager | ed_finite_size | 🟢 structural | Brute-force Σ_σ exp(-βE) over all 2^N configurations (independent enumeration) vs transfer-matrix Z | test/verification/tfim_ising/test_ising_2x2_classical.jl |
@onsager | ed_finite_size | 🟢 structural | Brute-force Σ_σ exp(-βE) over all 2^N configurations (independent enumeration) vs transfer-matrix Z | test/verification/tfim_ising/test_ising_2x2_classical.jl |
@onsager | ed_finite_size | 🟢 structural | Brute-force Σ_σ exp(-βE) over all 2^N configurations (independent enumeration) vs transfer-matrix Z | test/verification/tfim_ising/test_ising_2x2_classical.jl |
@onsager | ed_finite_size | 🟢 structural | Brute-force Σ_σ exp(-βE) over all 2^N configurations (independent enumeration) vs transfer-matrix Z | test/verification/tfim_ising/test_ising_2x2_classical.jl |
@onsager | ed_finite_size | 🟢 structural | Brute-force exact_partition cross-check of the transfer-matrix Z | test/verification/tfim_ising/test_ising_ad_thermodynamics.jl |
@onsager | ed_finite_size | 🟢 structural | Brute-force exact_partition cross-check of the transfer-matrix Z | test/verification/tfim_ising/test_ising_ad_thermodynamics.jl |
Test calls
The exact verify(...) call the harness executed for this hub (reconstructed from the test AST):
verify(IsingSquare(; Lx = 3, Ly = 3, 1.0 = 1.0), PartitionFunction(), PBC(0); route = :ed_finite_size, fetch_kw = (; 0.3 = 0.3, Lx = 3, Ly = 3, 1.0 = 1.0), independent = exact_partition(3, 3, 1.0, 0.3), agree_within = 1.0e-6, refs = ["Brute-force Σ_σ exp(-βE) over 2^(L²) configs (square_pbc_bond_pairs)"])verify(IsingSquare(; Lx = 3, Ly = 3, 1.0 = 1.0), PartitionFunction(), PBC(0); route = :ed_finite_size, fetch_kw = (; 0.5 = 0.5, Lx = 3, Ly = 3, 1.0 = 1.0), independent = exact_partition(3, 3, 1.0, 0.5), agree_within = 1.0e-6, refs = ["Brute-force Σ_σ exp(-βE) over 2^(L²) configs (square_pbc_bond_pairs)"])verify(IsingSquare(; Lx = 4, Ly = 4, 1.0 = 1.0), PartitionFunction(), PBC(0); route = :ed_finite_size, fetch_kw = (; 0.2 = 0.2, Lx = 4, Ly = 4, 1.0 = 1.0), independent = exact_partition(4, 4, 1.0, 0.2), agree_within = 1.0e-6, refs = ["Brute-force Σ_σ exp(-βE) over 2^(L²) configs (square_pbc_bond_pairs)"])verify(IsingSquare(; Lx = 3, Ly = 3, J = 1.0), PartitionFunction(), PBC(0); route = :limiting_case, fetch_kw = (; β = 0.0, Lx = 3, Ly = 3, J = 1.0), independent = 2.0 ^ 9, agree_within = 1.0e-6, refs = ["β = 0: all 2^N configs weight 1 => Z = 2^N"])verify(IsingSquare(; 2 = 2, 2 = 2, J = 1.0), PartitionFunction(), PBC(0); route = :ed_finite_size, fetch_kw = (; 0.0 = 0.0, 2 = 2, 2 = 2, J = 1.0), independent = exact_partition(2, 2, 1.0, 0.0), agree_within = 1.0e-10 * max(1.0, abs(exact_partition(2, 2, 1.0, 0.0))), at = ["Lx=$(2)", "Ly=$(2)", "β=$(0.0)"], refs = ["Brute-force Σ_σ exp(-βE) over all 2^N configurations (independent enumeration) vs transfer-matrix Z"])verify(IsingSquare(; 2 = 2, 2 = 2, J = 1.0), PartitionFunction(), PBC(0); route = :ed_finite_size, fetch_kw = (; 0.1 = 0.1, 2 = 2, 2 = 2, J = 1.0), independent = exact_partition(2, 2, 1.0, 0.1), agree_within = 1.0e-10 * max(1.0, abs(exact_partition(2, 2, 1.0, 0.1))), at = ["Lx=$(2)", "Ly=$(2)", "β=$(0.1)"], refs = ["Brute-force Σ_σ exp(-βE) over all 2^N configurations (independent enumeration) vs transfer-matrix Z"])verify(IsingSquare(; 2 = 2, 2 = 2, J = 1.0), PartitionFunction(), PBC(0); route = :ed_finite_size, fetch_kw = (; 0.2 = 0.2, 2 = 2, 2 = 2, J = 1.0), independent = exact_partition(2, 2, 1.0, 0.2), agree_within = 1.0e-10 * max(1.0, abs(exact_partition(2, 2, 1.0, 0.2))), at = ["Lx=$(2)", "Ly=$(2)", "β=$(0.2)"], refs = ["Brute-force Σ_σ exp(-βE) over all 2^N configurations (independent enumeration) vs transfer-matrix Z"])verify(IsingSquare(; 2 = 2, 2 = 2, J = 1.0), PartitionFunction(), PBC(0); route = :ed_finite_size, fetch_kw = (; 0.44 = 0.44, 2 = 2, 2 = 2, J = 1.0), independent = exact_partition(2, 2, 1.0, 0.44), agree_within = 1.0e-10 * max(1.0, abs(exact_partition(2, 2, 1.0, 0.44))), at = ["Lx=$(2)", "Ly=$(2)", "β=$(0.44)"], refs = ["Brute-force Σ_σ exp(-βE) over all 2^N configurations (independent enumeration) vs transfer-matrix Z"])verify(IsingSquare(; 2 = 2, 2 = 2, J = 1.0), PartitionFunction(), PBC(0); route = :ed_finite_size, fetch_kw = (; 1.0 = 1.0, 2 = 2, 2 = 2, J = 1.0), independent = exact_partition(2, 2, 1.0, 1.0), agree_within = 1.0e-10 * max(1.0, abs(exact_partition(2, 2, 1.0, 1.0))), at = ["Lx=$(2)", "Ly=$(2)", "β=$(1.0)"], refs = ["Brute-force Σ_σ exp(-βE) over all 2^N configurations (independent enumeration) vs transfer-matrix Z"])verify(IsingSquare(; 2 = 2, 2 = 2, J = 1.0), PartitionFunction(), PBC(0); route = :ed_finite_size, fetch_kw = (; 2.0 = 2.0, 2 = 2, 2 = 2, J = 1.0), independent = exact_partition(2, 2, 1.0, 2.0), agree_within = 1.0e-10 * max(1.0, abs(exact_partition(2, 2, 1.0, 2.0))), at = ["Lx=$(2)", "Ly=$(2)", "β=$(2.0)"], refs = ["Brute-force Σ_σ exp(-βE) over all 2^N configurations (independent enumeration) vs transfer-matrix Z"])verify(IsingSquare(; 2 = 2, 3 = 3, J = 1.0), PartitionFunction(), PBC(0); route = :ed_finite_size, fetch_kw = (; 0.0 = 0.0, 2 = 2, 3 = 3, J = 1.0), independent = exact_partition(2, 3, 1.0, 0.0), agree_within = 1.0e-10 * max(1.0, abs(exact_partition(2, 3, 1.0, 0.0))), at = ["Lx=$(2)", "Ly=$(3)", "β=$(0.0)"], refs = ["Brute-force Σ_σ exp(-βE) over all 2^N configurations (independent enumeration) vs transfer-matrix Z"])verify(IsingSquare(; 2 = 2, 3 = 3, J = 1.0), PartitionFunction(), PBC(0); route = :ed_finite_size, fetch_kw = (; 0.1 = 0.1, 2 = 2, 3 = 3, J = 1.0), independent = exact_partition(2, 3, 1.0, 0.1), agree_within = 1.0e-10 * max(1.0, abs(exact_partition(2, 3, 1.0, 0.1))), at = ["Lx=$(2)", "Ly=$(3)", "β=$(0.1)"], refs = ["Brute-force Σ_σ exp(-βE) over all 2^N configurations (independent enumeration) vs transfer-matrix Z"])verify(IsingSquare(; 2 = 2, 3 = 3, J = 1.0), PartitionFunction(), PBC(0); route = :ed_finite_size, fetch_kw = (; 0.2 = 0.2, 2 = 2, 3 = 3, J = 1.0), independent = exact_partition(2, 3, 1.0, 0.2), agree_within = 1.0e-10 * max(1.0, abs(exact_partition(2, 3, 1.0, 0.2))), at = ["Lx=$(2)", "Ly=$(3)", "β=$(0.2)"], refs = ["Brute-force Σ_σ exp(-βE) over all 2^N configurations (independent enumeration) vs transfer-matrix Z"])verify(IsingSquare(; 2 = 2, 3 = 3, J = 1.0), PartitionFunction(), PBC(0); route = :ed_finite_size, fetch_kw = (; 0.44 = 0.44, 2 = 2, 3 = 3, J = 1.0), independent = exact_partition(2, 3, 1.0, 0.44), agree_within = 1.0e-10 * max(1.0, abs(exact_partition(2, 3, 1.0, 0.44))), at = ["Lx=$(2)", "Ly=$(3)", "β=$(0.44)"], refs = ["Brute-force Σ_σ exp(-βE) over all 2^N configurations (independent enumeration) vs transfer-matrix Z"])verify(IsingSquare(; 2 = 2, 3 = 3, J = 1.0), PartitionFunction(), PBC(0); route = :ed_finite_size, fetch_kw = (; 1.0 = 1.0, 2 = 2, 3 = 3, J = 1.0), independent = exact_partition(2, 3, 1.0, 1.0), agree_within = 1.0e-10 * max(1.0, abs(exact_partition(2, 3, 1.0, 1.0))), at = ["Lx=$(2)", "Ly=$(3)", "β=$(1.0)"], refs = ["Brute-force Σ_σ exp(-βE) over all 2^N configurations (independent enumeration) vs transfer-matrix Z"])verify(IsingSquare(; 2 = 2, 3 = 3, J = 1.0), PartitionFunction(), PBC(0); route = :ed_finite_size, fetch_kw = (; 2.0 = 2.0, 2 = 2, 3 = 3, J = 1.0), independent = exact_partition(2, 3, 1.0, 2.0), agree_within = 1.0e-10 * max(1.0, abs(exact_partition(2, 3, 1.0, 2.0))), at = ["Lx=$(2)", "Ly=$(3)", "β=$(2.0)"], refs = ["Brute-force Σ_σ exp(-βE) over all 2^N configurations (independent enumeration) vs transfer-matrix Z"])verify(IsingSquare(; 3 = 3, 3 = 3, J = 1.0), PartitionFunction(), PBC(0); route = :ed_finite_size, fetch_kw = (; 0.0 = 0.0, 3 = 3, 3 = 3, J = 1.0), independent = exact_partition(3, 3, 1.0, 0.0), agree_within = 1.0e-10 * max(1.0, abs(exact_partition(3, 3, 1.0, 0.0))), at = ["Lx=$(3)", "Ly=$(3)", "β=$(0.0)"], refs = ["Brute-force Σ_σ exp(-βE) over all 2^N configurations (independent enumeration) vs transfer-matrix Z"])verify(IsingSquare(; 3 = 3, 3 = 3, J = 1.0), PartitionFunction(), PBC(0); route = :ed_finite_size, fetch_kw = (; 0.1 = 0.1, 3 = 3, 3 = 3, J = 1.0), independent = exact_partition(3, 3, 1.0, 0.1), agree_within = 1.0e-10 * max(1.0, abs(exact_partition(3, 3, 1.0, 0.1))), at = ["Lx=$(3)", "Ly=$(3)", "β=$(0.1)"], refs = ["Brute-force Σ_σ exp(-βE) over all 2^N configurations (independent enumeration) vs transfer-matrix Z"])verify(IsingSquare(; 3 = 3, 3 = 3, J = 1.0), PartitionFunction(), PBC(0); route = :ed_finite_size, fetch_kw = (; 0.2 = 0.2, 3 = 3, 3 = 3, J = 1.0), independent = exact_partition(3, 3, 1.0, 0.2), agree_within = 1.0e-10 * max(1.0, abs(exact_partition(3, 3, 1.0, 0.2))), at = ["Lx=$(3)", "Ly=$(3)", "β=$(0.2)"], refs = ["Brute-force Σ_σ exp(-βE) over all 2^N configurations (independent enumeration) vs transfer-matrix Z"])verify(IsingSquare(; 3 = 3, 3 = 3, J = 1.0), PartitionFunction(), PBC(0); route = :ed_finite_size, fetch_kw = (; 0.44 = 0.44, 3 = 3, 3 = 3, J = 1.0), independent = exact_partition(3, 3, 1.0, 0.44), agree_within = 1.0e-10 * max(1.0, abs(exact_partition(3, 3, 1.0, 0.44))), at = ["Lx=$(3)", "Ly=$(3)", "β=$(0.44)"], refs = ["Brute-force Σ_σ exp(-βE) over all 2^N configurations (independent enumeration) vs transfer-matrix Z"])verify(IsingSquare(; 3 = 3, 3 = 3, J = 1.0), PartitionFunction(), PBC(0); route = :ed_finite_size, fetch_kw = (; 1.0 = 1.0, 3 = 3, 3 = 3, J = 1.0), independent = exact_partition(3, 3, 1.0, 1.0), agree_within = 1.0e-10 * max(1.0, abs(exact_partition(3, 3, 1.0, 1.0))), at = ["Lx=$(3)", "Ly=$(3)", "β=$(1.0)"], refs = ["Brute-force Σ_σ exp(-βE) over all 2^N configurations (independent enumeration) vs transfer-matrix Z"])verify(IsingSquare(; 3 = 3, 3 = 3, J = 1.0), PartitionFunction(), PBC(0); route = :ed_finite_size, fetch_kw = (; 2.0 = 2.0, 3 = 3, 3 = 3, J = 1.0), independent = exact_partition(3, 3, 1.0, 2.0), agree_within = 1.0e-10 * max(1.0, abs(exact_partition(3, 3, 1.0, 2.0))), at = ["Lx=$(3)", "Ly=$(3)", "β=$(2.0)"], refs = ["Brute-force Σ_σ exp(-βE) over all 2^N configurations (independent enumeration) vs transfer-matrix Z"])verify(IsingSquare(; Lx = 2, Ly = 2, J = 1.0), PartitionFunction(), PBC(0); route = :ed_finite_size, fetch_kw = (; 0.4 = 0.4, Lx = 2, Ly = 2, J = 1.0), independent = exact_partition(2, 2, 1.0, 0.4), agree_within = 1.0e-6, refs = ["Brute-force exact_partition cross-check of the transfer-matrix Z"])verify(IsingSquare(; Lx = 3, Ly = 3, J = 1.0), PartitionFunction(), PBC(0); route = :ed_finite_size, fetch_kw = (; 0.3 = 0.3, Lx = 3, Ly = 3, J = 1.0), independent = exact_partition(3, 3, 1.0, 0.3), agree_within = 1.0e-6, refs = ["Brute-force exact_partition cross-check of the transfer-matrix Z"])Assurance (provisional)
- level: corroborated-at-p 🟢
- cards: 24 · model ED-feasible
- RES not wired — measured residuals / confidence are not shown yet.
← Model: IsingSquare · Quantity: PartitionFunction · Atlas index