Theorem: Reference-preserving certificate transport

The complete route transmits an arbitrary payload and all its untouched reference correlations exactly. All non-output payload registers end in independent blanks. The complete classical certificate is forwarded. Every dependency has a causal regular route.

Proof. After hop $j$, the original payload factor, including its reference correlations, occupies station $j$; the other payload stations are blank. Tensor-factor exchange proves this by induction. Copying a designated classical record preserves its joint law and is not cloning an unknown quantum state. Each carriage path has speed $1/2$ in developed units. Local processing and buffering take positive duration; receiver controls wait for every required input.