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🟢 SSH/TopologicalInvariant/Infinite

Provisional v2 view — RES not wired

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.

Assurance level: corroborated-at-p

Independently corroborated. See the cards below.

src claim

  • method analytic, status exact, reliability high, refs: SSH1979 | AsbothOroszlanyPalyi2016
  • Winding number W = (1/2π)∮ Im(q'/q) dk of q(k)=v+w e^{ik}; 1 (|w|>|v|, topological) / 0 (|w|<|v|, trivial).

Corroboration

regimemechanismindependencerefsfile
@sweepsecond_closed_form🟢 structuralSSH 1979; Asbóth-Oroszlány-Pályi 2016: W = 1 (w
@sweepsecond_closed_form🟢 structuralSSH 1979; Asbóth-Oroszlány-Pályi 2016: W = 1 (w
@sweepsecond_closed_form🟢 structuralSSH 1979; Asbóth-Oroszlány-Pályi 2016: W = 1 (w
@sweepsecond_closed_form🟢 structuralSSH 1979; Asbóth-Oroszlány-Pályi 2016: W = 1 (w
@sweepsecond_closed_form🟢 structuralSSH 1979; Asbóth-Oroszlány-Pályi 2016: W = 1 (w
@sweepsecond_closed_form🟢 structuralSSH 1979; Asbóth-Oroszlány-Pályi 2016: W = 1 (w
@sweepsecond_closed_form🟢 structuralSSH 1979; Asbóth-Oroszlány-Pályi 2016: W = 1 (w

Test calls

The exact verify(...) call the harness executed for this hub (reconstructed from the test AST):

verify(SSH(; 0.4 = 0.4, 1.0 = 1.0), TopologicalInvariant(), Infinite(); route = :second_closed_form, independent = if abs(1.0) > abs(0.4) 1.0 else 0.0 end, agree_within = 1.0e-9, refs = ["SSH 1979; Asbóth-Oroszlány-Pályi 2016: W = 1 (|w|>|v|) / 0 (|w|<|v|)"])
verify(SSH(; 0.0 = 0.0, 1.0 = 1.0), TopologicalInvariant(), Infinite(); route = :second_closed_form, independent = if abs(1.0) > abs(0.0) 1.0 else 0.0 end, agree_within = 1.0e-9, refs = ["SSH 1979; Asbóth-Oroszlány-Pályi 2016: W = 1 (|w|>|v|) / 0 (|w|<|v|)"])
verify(SSH(; 1.0 = 1.0, 0.4 = 0.4), TopologicalInvariant(), Infinite(); route = :second_closed_form, independent = if abs(0.4) > abs(1.0) 1.0 else 0.0 end, agree_within = 1.0e-9, refs = ["SSH 1979; Asbóth-Oroszlány-Pályi 2016: W = 1 (|w|>|v|) / 0 (|w|<|v|)"])
verify(SSH(; 1.0 = 1.0, 0.0 = 0.0), TopologicalInvariant(), Infinite(); route = :second_closed_form, independent = if abs(0.0) > abs(1.0) 1.0 else 0.0 end, agree_within = 1.0e-9, refs = ["SSH 1979; Asbóth-Oroszlány-Pályi 2016: W = 1 (|w|>|v|) / 0 (|w|<|v|)"])
verify(SSH(; -0.5 = -0.5, 1.2 = 1.2), TopologicalInvariant(), Infinite(); route = :second_closed_form, independent = if abs(1.2) > abs(-0.5) 1.0 else 0.0 end, agree_within = 1.0e-9, refs = ["SSH 1979; Asbóth-Oroszlány-Pályi 2016: W = 1 (|w|>|v|) / 0 (|w|<|v|)"])
verify(SSH(; 1.3 = 1.3, -0.5 = -0.5), TopologicalInvariant(), Infinite(); route = :second_closed_form, independent = if abs(-0.5) > abs(1.3) 1.0 else 0.0 end, agree_within = 1.0e-9, refs = ["SSH 1979; Asbóth-Oroszlány-Pályi 2016: W = 1 (|w|>|v|) / 0 (|w|<|v|)"])
verify(SSH(; 0.3 = 0.3, -1.5 = -1.5), TopologicalInvariant(), Infinite(); route = :second_closed_form, independent = if abs(-1.5) > abs(0.3) 1.0 else 0.0 end, agree_within = 1.0e-9, refs = ["SSH 1979; Asbóth-Oroszlány-Pályi 2016: W = 1 (|w|>|v|) / 0 (|w|<|v|)"])

Assurance (provisional)

  • level: corroborated-at-p 🟢
  • cards: 7 · model ED-feasible
  • RES not wired — measured residuals / confidence are not shown yet.

← Model: SSH · Quantity: TopologicalInvariant · Atlas index