Definition: N=0 anomaly component

The {$N=0$ anomaly component} is the coherent contact vector $C_{\mathrm{anom}}\in {\mathcal{C}}_{\mathrm{coh}}$ with

($\dim {\mathcal{H}}_4=1$), and with all higher-grade coordinates ($N\ge 1$) explicitly set to zero for this probe. Coherence of the $N=0$ coordinate follows from linearity of $A_{\mu }$ and uniqueness of the $N=0$ basis element. $C_{\mathrm{anom}}$ is not the full graph scale variation; the full $C_{\mathrm{scale}}$, including all higher-grade coordinates, is treated in Section sec:wpB.