As I recall, Kindle books that you see on the cloud, you can swipe to the left and get option to archive. With iBooks (the kind you read with the iPad built-in app), you can archive but never delete. That's why I never use that app; some books I get and don't like, and I resent having to keep them. I usually get Kindle books, even from the library, or I use Overdrive to read books from the library. Hope that helps somewhat!