digraph Audit { rankdir=LR; T01 [label="T01: Physical compression, spectral representation and binary deficit"]; T02 [label="T02: Joint mean-and-moment topology and compactness"]; T01 -> T02; T03 [label="T03: Geometry-uniform response continuity"]; T01 -> T03; T04 [label="T04: Exact-fraction cubic whole-function density"]; T01 -> T04; T02 -> T04; T03 -> T04; T05 [label="T05: Positive cubic Bernstein template density and exact operator polynomials"]; T01 -> T05; T06 [label="T06: Exact fraction-constrained bathtub rounding"]; T07 [label="T07: Sharp variable-fraction mean/deficit rounding envelope"]; T06 -> T07; T08 [label="T08: Abstract calibrated closure distance and sharp universal factor"]; T09 [label="T09: Explicit full-cube reference-localizer convergence"]; T10 [label="T10: Response-only calibrated physical-distance hierarchy"]; T01 -> T10; T02 -> T10; T03 -> T10; T04 -> T10; T05 -> T10; T06 -> T10; T08 -> T10; T09 -> T10; T11 [label="T11: Single running hierarchy for exact squared physical distance"]; T10 -> T11; T12 [label="T12: Finite complex observations without latent spectral extension"]; T03 -> T12; T05 -> T12; T09 -> T12; T10 -> T12; T13 [label="T13: Finite strict approximation certificates and binary extraction"]; T06 -> T13; T09 -> T13; T10 -> T13; T11 -> T13; T14 [label="T14: Convex contact dual without convexifying physical attainability"]; T10 -> T14; T15 [label="T15: Noise, fraction continuity and bounded-data uniform penalty limit"]; T03 -> T15; T08 -> T15; T10 -> T15; T16 [label="T16: Finite-information separation of nonphysical analytic candidates"]; T02 -> T16; T04 -> T16; T17 [label="T17: Universal unit-circle inequality and exact midpoint rejection"]; T01 -> T17; T02 -> T17; T18 [label="T18: Rank-escape and measurable high-frequency tail obstruction"]; T01 -> T18; T02 -> T18; T03 -> T18; T06 -> T18; T19 [label="T19: Independent boundary-compatible finite-certificate route"]; T01 -> T19; T02 -> T19; T20 [label="T20: Failure of automatic stationary/GNS spatial completion"]; T21 [label="T21: Independent finite symbolic and physical regression checks"]; T01 -> T21; T03 -> T21; T05 -> T21; T07 -> T21; T09 -> T21; T11 -> T21; T17 -> T21; T18 -> T21; }