In a medium bowl place the pumpkin puree, flour, sugar, baking powder, and pumpkin pie spice and stir to combine with a rubber spatula.
Then mix in the egg and oil and blend until completely combined.
Allow the mixture to rest while you prepare the cinnamon sugar mixture, and heat the oil.
In a 2 cup bowl, mix the 1/3-1/2 cup sugar with cinnamon to roll the hot donuts in. You'll then be able to move the bowl to coat each donut or use a spoon to move the donut around in the mixture. Set aside until you cook donuts.
Use a 2 tablespoon scoop (makes 15 donuts) to portion out the batter, place 4-6 portions gently into the heated oil.
In a 2 quart pot heat at least 1 inch of oil (a few cups) to 350°. Use a thermometer to ensure the oil is at the correct temperature and you'll want to test the internal temperature of the donut to be sure it's fully cooked.
Cook for about 4 minutes or until the batters' internal temperature is about 220° poke with a toothpick or probe to ensure the batter is not wet. These pumpkin donuts will not be done cooking when "golden" they will be a light brown color as the pumpkin already makes the batter a golden color. You can test the cooking time by doing 1 first. Keep the cooking oil at 350° to be sure the donuts cook quickly, and evenly and don't become "greasy".
Use a tray lined with paper towels to drain any excess oil.
Then immediately use tongs or a spoon to place each donut into the cinnamon sugar mixture and coat the donuts completely.