I think "the peer web" and "decentralized web" / "dweb" are emerging terms that are trying to describe all of the efforts to make software work peer-to-peer without centralized servers.
I am referring to https://peerweb.com, an in-development project of mine. There are no public-facing docs at the moment, but I will be providing updates on my Twitter.
[1] https://www.google.com/search?q=peerweb