All of his examples should be solved at the domain level. They just don't have anything to do with REST architecture.

The information doesn't need to be sent over the wire. There are many ways to solve it, but at the end of the day all that needs to be sent over the wire is the product and the time of purchase. Everything else can be deduced on the backend, and how hard that is to do will depend on how well you've modeled the concepts your interested in.