The document discusses approaches for designing a RESTful search API that handles complex queries simply, returns bookmarkable results while preventing sensitive information leaks, and remains RESTful. It evaluates 5 approaches: using GET with query parameters, GET with a query body, POST with a body, a non-standard method with a body, and exposing a query definition resource. The preferred approach exposes a query definition resource that allows addressing individual queries and results through PUT, GET, and DELETE requests.