A Note on Structural and Computational Consequences of the Canonical Triple-Graph

This note collects a set of structural and computational consequences that follow directly from the results established in the paper "The Canonical Triple-Graph: A Structural Organization of the Positive Integers" (DOI: 10.5281/zenodo.18184678). No new definitions or proofs are introduced. The purpose is to make explicit several implications of unique parenthood, finite ancestry, and block organization that are implicit in the Canonical Triple-Graph framework, including the existence of a canonical depth and the bit-level recoverability of ancestry from the binary representation of an integer.