Serverless Architectures
martinfowler.com
martinfowler.com
Both examples of what people mean when they say serverless require servers.
Things like Bitcoin and Bittorrent would better fit the word serverless. However, you need servers of a sort for Bitcoin to work (e.g. you need nodes and miners) and you need an initial seeder for each torrent to get going.
Since serverless seems to be mostly about a class of applications, I think only those that function either without network access or without contacting any specific organizations computers (i.e. servers) would qualify. This would make my browser fundamentally serverless, since I can browse files locally. Suddenly my browser seems like a glorified file viewer and One Note is rsync with an editor attached.