Roll out the pie crust to fit on a 14 inch pizza pan. Peel core and thinly slice 6 to 8 Granny Smith apples into a large bowl. Mix in lemon juice, water, lemon rind and 1 cup of sugar. Arrange apple slices evenly over the pie crust. Cut peanut butter and butter into flour and 1/2 cup of sugar until crumbly. Cover apples with the crumb mixture. Bake for 45 minutes to 1 hour at 350° F.