If you imagine time as a line, the paper is stuck in the loopty loop

depends on your subscribed time existance theory. The easiest one is that each time jump is taking you diagonal to the next timeline meaning the paper is going from the top of the lasagna of time down to the bottom

Future you never got the paper Or the paper came from different time line where the paper was written but then traveled to a time line that it was not

Yes. I get the attempt at a grandfather paradox, but the paper isn't the grandfather, it can cycle until it totally decays. It's decay rate would be far more perplexing. I have no answers.

If you really want to get mind-fricked by temporal mechanics, consider the version of you delivering the paper and how it intersects any number of time streams. Consider time as a line and your question has some very down to earth answers... consider it like a bowl of noodles in a glass ball (universe 'A') and the possibility of intersection with your idea of 'self' delivering the paper can be both zero (you not delivering the paper st all) or infinite (1 billion versions of you delivering the paper at the same exact time) and everything in between.

I guess I'd have a lot of explaining to do.