In a bowl, whisk together the flour, baking powder, pumpkin pie spice, and salt.
In the bowl of a standing mixer or with an electric mixer, cream together the butter and sugar for 3 minutes, until light and fluffy.
Add the pumpkin puree and vanilla extract and beat until incorporated.
Turn the speed to low and gradually add the flour mixture. Continue to mix until the dough comes together.
Shape the dough into a disk, wrap in plastic wrap, and chill in the fridge for 30 minutes. When the dough has chilled, preheat the oven to 325F.
Roll out the dough onto a lightly floured surface to 1/4 inch thick, and use cookie cutters to cut into shapes.
Transfer to a silpat-lined baking sheet and bake for 10-15 minutes.