GitHub

🟢 KitaevHoneycomb/MassGap/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: Kitaev2006
  • Δ = 2 · max(|Kγmax| − sumothers, 0); 0 in B-phase, finite in Aγ.

Corroboration

regimemechanismindependencerefsfile
@sweepsecond_closed_form🟢 structuralKitaev 2006 Annals 321: Δ = 2·max(K_max
@sweepsecond_closed_form🟢 structuralKitaev 2006 Annals 321: Δ = 2·max(K_max
@sweepsecond_closed_form🟢 structuralKitaev 2006 Annals 321: Δ = 2·max(K_max
@sweepsecond_closed_form🟢 structuralKitaev 2006 Annals 321: Δ = 2·max(K_max
@sweepsecond_closed_form🟢 structuralKitaev 2006 Annals 321: Δ = 2·max(K_max
@sweepsecond_closed_form🟢 structuralKitaev 2006 Annals 321: Δ = 2·max(K_max
@sweepsecond_closed_form🟢 structuralKitaev 2006 Annals 321: Δ = 2·max(K_max
@sweepsecond_closed_form🟢 structuralKitaev 2006 Annals 321: Δ = 2·max(K_max
@sweepsecond_closed_form🟢 structuralKitaev 2006 Annals 321: Δ = 2·max(K_max

Test calls

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

verify(KitaevHoneycomb(; 1.0 = 1.0, 1.0 = 1.0, 1.0 = 1.0), MassGap(), Infinite(); route = :second_closed_form, independent = 0.0, agree_within = 1.0e-12, refs = ["Kitaev 2006 Annals 321: Δ = 2·max(|K_max| − |K_others_sum|, 0); gapped iff one |K_γ| > sum of others"])
verify(KitaevHoneycomb(; 1.0 = 1.0, 1.0 = 1.0, 1.5 = 1.5), MassGap(), Infinite(); route = :second_closed_form, independent = 0.0, agree_within = 1.0e-12, refs = ["Kitaev 2006 Annals 321: Δ = 2·max(|K_max| − |K_others_sum|, 0); gapped iff one |K_γ| > sum of others"])
verify(KitaevHoneycomb(; 0.5 = 0.5, 0.5 = 0.5, 0.9 = 0.9), MassGap(), Infinite(); route = :second_closed_form, independent = 0.0, agree_within = 1.0e-12, refs = ["Kitaev 2006 Annals 321: Δ = 2·max(|K_max| − |K_others_sum|, 0); gapped iff one |K_γ| > sum of others"])
verify(KitaevHoneycomb(; 1.0 = 1.0, 1.0 = 1.0, 2.0 = 2.0), MassGap(), Infinite(); route = :second_closed_form, independent = 0.0, agree_within = 1.0e-12, refs = ["Kitaev 2006 Annals 321: Δ = 2·max(|K_max| − |K_others_sum|, 0); gapped iff one |K_γ| > sum of others"])
verify(KitaevHoneycomb(; 0.5 = 0.5, 0.5 = 0.5, 1.0 = 1.0), MassGap(), Infinite(); route = :second_closed_form, independent = 0.0, agree_within = 1.0e-12, refs = ["Kitaev 2006 Annals 321: Δ = 2·max(|K_max| − |K_others_sum|, 0); gapped iff one |K_γ| > sum of others"])
verify(KitaevHoneycomb(; 1.0 = 1.0, 1.0 = 1.0, 3.0 = 3.0), MassGap(), Infinite(); route = :second_closed_form, independent = 2 * (3.0 - 2.0), agree_within = 1.0e-12, refs = ["Kitaev 2006 Annals 321: Δ = 2·max(|K_max| − |K_others_sum|, 0); gapped iff one |K_γ| > sum of others"])
verify(KitaevHoneycomb(; 0.5 = 0.5, 0.5 = 0.5, 2.0 = 2.0), MassGap(), Infinite(); route = :second_closed_form, independent = 2 * (2.0 - 1.0), agree_within = 1.0e-12, refs = ["Kitaev 2006 Annals 321: Δ = 2·max(|K_max| − |K_others_sum|, 0); gapped iff one |K_γ| > sum of others"])
verify(KitaevHoneycomb(; 3.0 = 3.0, 1.0 = 1.0, 1.0 = 1.0), MassGap(), Infinite(); route = :second_closed_form, independent = 2.0, agree_within = 1.0e-12, refs = ["Kitaev 2006 Annals 321: Δ = 2·max(|K_max| − |K_others_sum|, 0); gapped iff one |K_γ| > sum of others"])
verify(KitaevHoneycomb(; 0.5 = 0.5, 4.0 = 4.0, 0.5 = 0.5), MassGap(), Infinite(); route = :second_closed_form, independent = 2 * (4.0 - 1.0), agree_within = 1.0e-12, refs = ["Kitaev 2006 Annals 321: Δ = 2·max(|K_max| − |K_others_sum|, 0); gapped iff one |K_γ| > sum of others"])

Assurance (provisional)

  • level: corroborated-at-p 🟢
  • cards: 9 · model ED-infeasible (frontier)
  • RES not wired — measured residuals / confidence are not shown yet.

← Model: KitaevHoneycomb · Quantity: MassGap · Atlas index