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๐ŸŸข XCube/GroundStateDegeneracy/PBC

Provisional v2 view โ€” RES not wired

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.

Assurance level: corroborated-at-p

Independently corroborated. See the cards below.

src claim

  • method analytic, status exact, reliability high, refs: VijayHaahFu2016 | SlagleKim2017
  • Subextensive log_2 GSD = 2(Lx+Ly+Lz) - 3 on closed cubic torus.

Corroboration

regimemechanismindependencerefsfile
@sweepsecond_closed_form๐ŸŸข structuralX-cube fracton order: log2 GSD = 2(Lx+Ly+Lz) - 3test/models/quantum/misc/test_x_cube.jl
@sweepsecond_closed_form๐ŸŸข structuralX-cube fracton order: log2 GSD = 2(Lx+Ly+Lz) - 3test/models/quantum/misc/test_x_cube.jl

Test calls

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

verify(XCube(), GroundStateDegeneracy(), PBC(); route = :second_closed_form, fetch_kw = (; 2 = 2, 2 = 2, 2 = 2), independent = 2.0 ^ (2 * (2 + 2 + 2) - 3), agree_within = 0.5, refs = ["X-cube fracton order: log2 GSD = 2(Lx+Ly+Lz) - 3"])
verify(XCube(), GroundStateDegeneracy(), PBC(); route = :second_closed_form, fetch_kw = (; 3 = 3, 3 = 3, 3 = 3), independent = 2.0 ^ (2 * (3 + 3 + 3) - 3), agree_within = 0.5, refs = ["X-cube fracton order: log2 GSD = 2(Lx+Ly+Lz) - 3"])

Assurance (provisional)

  • level: corroborated-at-p ๐ŸŸข
  • cards: 2 ยท model ED-infeasible (frontier)
  • RES not wired โ€” measured residuals / confidence are not shown yet.

โ† Model: XCube ยท Quantity: GroundStateDegeneracy ยท Atlas index