Beat the butter and powdered sugar until pale and fluffy, about 2 minutes.

Mix in the pumpkin puree, vanilla, pumpkin pie spice, and salt until combined.

Gradually add the flour and mix just until a dough forms. Shape into a 2-inch log on plastic wrap, wrap tightly, and chill for at least 1 hour.

Preheat oven to 350°F (175°C). Slice the chilled log into 1/4-inch rounds and place on a parchment-lined baking sheet.

Bake for 12 to 14 minutes, until edges are lightly golden. Cool on the sheet for 5 minutes, then transfer to a wire rack.