Source statements used for comparison

The supplied passage from V states a smoothing theorem for a compact symmetric conserved tensor distribution, subject to smoothness of its specified causal propagation. Its conclusion is a smooth compact conserved representative on its declared vacuum solution space V (Theorem thm:smoothing, lines 1178–1245).

The supplied VII-B passage states a different result:

and consequently equality of pairings on smooth solutions of $\square h=0$ VIIb (Theorem thm:onshell, lines 1089–1144). The same manuscript excludes the original nonzero-smearing bilinear insertion from its declared off-shell microcausal polynomial domain VIIb (Theorem thm:main, lines 842–903).

For the graph track, XIV-I constructs the named internal amplitude map but explicitly leaves the characteristic composition with the quantum cross-lines unresolved XIVi (Theorems thm:I2, thm:I3). XIV-J constructs a supported-sector reference on its stated off-characteristic domain and leaves the full joint map unresolved XIVj (Theorems thm:reference, thm:J2). The supplied XV-F record and its patches do not pass F0 XVf,Registry.

XVI-D reports a prepared witness response and a conditional coordinate identification. XVI-H constructs a compact three-slot kernel under explicit inherited inputs; its specified partial contraction is not the full kernel or quantum admission XVId,XVIh.