Fresh Pita near Weehawken or Maplewood?
It might not qualify as 'near,' but Maplewood is a 20 minute drive from Patterson. Patterson is basically Little Syria.
It's been at least 5 years since I got them, but the pitas at Fattal's were astounding. The house brand tahini is amazing as well. The pitas were so good, I couldn't eat local (Morristown) pitas any more- and haven't had one since.
As with most bakeries, time of the day is most likely a factor, so you might call and see when they're baking. I also know that some bakeries like to skip bake days during the summer, so you might want to inquire about the specific day as well.