The Radiant Network is a peer-to-peer digital asset system that enables direct exchange of value without going through a central party. The original Bitcoin protocol provided the functionality needed to create a peer-to-peer electronic cash system, but lacked the ability to verify transaction history and therefore cannot be used to verify digital assets. Digital signatures and output constraints provide a partial solution, but if a trusted third party is still required to verify the digital asset, the main advantage is lost. Similar to Bitcoin, the Radiant network requires minimal structure and timestamps transactions into an ongoing hash-based proof-of-work chain. It introduces two techniques for verifying digital assets: a unique reference and a universal inductive proof system, both of which operate in constant time and space. Outputs can be combined in any way without compromising the inherent parallelism and performance characteristics of an unspent transaction output (UTXO) based architecture. As a result, users can leave and rejoin the Radiant network at will with the assurance of the integrity and authenticity of their digital assets.