This report presents the Physical Internet (PI) four core services, namely the Shipping, Encapsulation, Routing and Networking. The services have been designed to align with the OLI/ NOLI (and ICONET) layers enabling a standardised approach to the PI implementation. The ontology of PI Links, Nodes and Services is extended as each service is examined in further detail. The services are designed to account for various business types where different use cases arise. The sequence of communications of the PI Services design has been considered for each use case, aiming to enable the development of modular and robust services. The various applications contexts of the PI have also been taken into account, drawing on the adaptations of the four core services to the ICONET Living Lab requirements.