Preheat oven to 350*F and spray a 9-inch springform pan with nonstick spray. Wrap aluminum foil around the bottom and up the sides of the pan to prevent the possibility of anything leaking out while baking.
Whisk together flour, baking powder, baking soda, salt, and pumpkin pie spice in a bowl. Set aside
Cream butter on medium-high speed with an electric mixer until smooth. Add sugar and beat until fluffy. Add eggs and vanilla; mix well. Add pumpkin puree and mix until combined.
Add milk and the flour mixture. Mix on medium-low speed until incorporated.
Pour batter into the prepared springform pan.