In a bowl, whisk together the flour, baking powder, baking soda, pumpkin pie spice, and salt. Set aside. In a large bowl, beat the eggs and granulated sugar with an electric mixer on medium speed for about 2-3 minutes, until light and fluffy. Add the pumpkin puree and vanilla extract, mixing until smooth. Gradually add the dry ingredients to the wet mixture, folding gently with a spatula. Mix until just combined. Spread the batter evenly into the prepared jelly roll pan.