Paper has quite a bit of silica in it, depending on the trees its from, and the processing. So there is some abrasive quality to it. newsprint can be used to strop, partly the ink, partly the paper. There is a reason cardboard is used as a test medium. However you should be able to cut a lot of paper before loosing an edge. can you define "fast" how long do your edges last, and what are you cutting?