Cheerios has a great website where they explain the process of removing gluten from the oats before making the cereal. It's a great process, but obviously, by the amount of reported reactions, it doesn't work.

Too bad, I used to like Cheerios. And Raisin Bran, Life Cereal, and Pop Tarts. Oh! Pita Bread!
I've been diagnosed since 2003 and I've seen a lot of new products pop up over the years. Being gluten free in 2003 was a lot different than it is now. Back then I had to have my health food store order gluten free products for me. Now I can pick them up at my local grocery. It's a different gluten free world so I believe there will be gluten free pita bread someday. I'm waiting....