pthreads is fine and widely supported. I would probably recommend that interface for now. Maybe after 5 years or so when all of the LTS systems support the new standard that will be the better option, but all major OSes are POSIX compatible so no need for a new standard anyways.
Also if you want to take advantage of any OS-specific extensions they are probably supported by pthreads, but the new C threads API will probably lag.