๐ข ToricCode/GroundStateDegeneracy/PBC
Generated by docs/atlas/generate.jl โ 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 โ a hub can read green while its @test is red between regenerations. @sweep = a graceful regime-resolution gap, not card omission.
src claim
- method
analytic, reliabilityhigh, refs: Kitaev 2003 - GSD = 4^genus on a closed orientable surface; OBC has unique GS (not registered).
Corroboration
| regime | mechanism | independence | refs | file |
|---|---|---|---|---|
@sweep | second_closed_form | ๐ข structural | Kitaev 2003 ยง4.1 (Ann. Phys. 303): ToricCode GSD = 4^g on a genus-g closed orientable surface (purely topological) | test/models/quantum/misc/test_toric_code.jl |
@sweep | second_closed_form | ๐ข structural | Kitaev 2003 ยง4.1: GSD is purely topological โ independent of Je, Jm | test/models/quantum/misc/test_toric_code.jl |
Test calls
The exact verify(...) call the harness executed for this hub (reconstructed from the test AST):
verify(ToricCode(; J_e = 1.0, J_m = 1.0), GroundStateDegeneracy(), PBC(0); route = :second_closed_form, independent = 4 ^ genus, agree_within = 0, refs = ["Kitaev 2003 ยง4.1 (Ann. Phys. 303): ToricCode GSD = 4^g on a genus-g closed orientable surface (purely topological)"], fetch_kw = (; genus = genus))verify(ToricCode(; J_e = J_e, J_m = J_m), GroundStateDegeneracy(), PBC(0); route = :second_closed_form, independent = 4, agree_within = 0, refs = ["Kitaev 2003 ยง4.1: GSD is purely topological โ independent of J_e, J_m"], fetch_kw = (; genus = 1))Assurance (provisional)
- level: corroborated-at-p ๐ข
- cards: 2 ยท model ED-infeasible (frontier)
- RES not wired โ measured residuals / confidence are not shown yet.
โ Model: ToricCode ยท Quantity: GroundStateDegeneracy ยท Atlas index