🟢 Kitaev1D/TopologicalInvariant/Infinite
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
pfaffian, reliabilityhigh, refs: Kitaev 2001 | Asboth-Oroszlany-Palyi 2016 - ν = sgn[Pf A(k=0)·Pf A(k=π)] = sgn(μ² - 4t²); ν=-1 topological, +1 trivial.
Corroboration
| regime | mechanism | independence | refs | file |
|---|---|---|---|---|
@sweep | second_closed_form | 🟢 structural | "Kitaev 2001; Asboth-Oroszlany-Palyi 2016: ν = sgn(μ²-4t²) " * "(-1 topological, +1 trivial)" | test/models/quantum/misc/test_kitaev1d.jl |
@sweep | second_closed_form | 🟢 structural | Kitaev 2001 Pfaffian Z2: ν = sgn(μ² − 4t²) on the gapped phases | test/models/quantum/misc/test_kitaev1d.jl |
Test calls
The exact verify(...) call the harness executed for this hub (reconstructed from the test AST):
verify(Kitaev1D(; μ = μ, t = t, Δ = Δ), TopologicalInvariant(), Infinite(); route = :second_closed_form, independent = ν_closed, agree_within = 1.0e-12, refs = ["Kitaev 2001; Asboth-Oroszlany-Palyi 2016: ν = sgn(μ²-4t²) " * "(-1 topological, +1 trivial)"])verify(Kitaev1D(; μ = μ, t = t, Δ = Δ), TopologicalInvariant(), Infinite(); route = :second_closed_form, independent = ν_expected, agree_within = 0, refs = ["Kitaev 2001 Pfaffian Z2: ν = sgn(μ² − 4t²) on the gapped phases"])Assurance (provisional)
- level: corroborated-at-p 🟢
- cards: 2 · model ED-feasible
- RES not wired — measured residuals / confidence are not shown yet.
← Model: Kitaev1D · Quantity: TopologicalInvariant · Atlas index