This computational essay provides a suite of interactive tools for the formal analysis of the Spekkens Toy Model, a framework inspired by Quantum Information Theory that is foundational to our architecture. It serves as 'Code as Proof' for the principles of state evolution, visualizing how a set of reversible permutations acts on composite states (formed via Kronecker product) to create a traversable, multiway state-space graph. By exploring these state dynamics, we develop the mathematical intuition for the Token Dynamics, Reversible Subtransactions, and epistricted registers that allow our protocols to guarantee exactly-once semantics and escape the irreversible failures of conventional networking.