But it turns out they mean "non-web" as in "ssh, imap, etc."
I keep waiting for someone to come up with something better than handwritten signatures; a (H)MAC of some sorts seems the way to go. It just doesn't come... And yes, I've also tried to devise my own system to cryptographically sign documents, but it's not practical yet. Basically you're converting the document to a digital format before generating a 128-bit signature (that you can then put on the paper as 16 Unicode characters), which is not really ideal.