CDIP v1.1 — P5 (B–C–D) Integrated Notes Identifiability Gates, Comparison Geometry, and Darboux Certificate Meaning (Audit-Ready)

This integrated document merges P5-B, P5-C, and P5-D into a single Zenodo-grade LaTeX source. P5-B proves the soundness of the identifiability gate system (ID-G1..ID-G4) for single-record recovery of the antisymmetric component Ω from perturbation–response data. P5-C fixes cross-record comparability by declaring a comparison geometry G ≻ 0 and defining the whitened normal form e −1/2 Ωb G−1/2 , proving gauge-invariant singular values under G-isometries. P5-D provides minimal lemmas giving operational meaning and stability criteria for Darboux-chart certificates.

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