Preheat the oven to 375 degrees F and line an 8x8-inch metal baking pan with parchment paper.
Stir together the pumpkin puree, yogurt, melted butter, egg, and vanilla in a large bowl.
Stir in the flour, sugar, pumpkin pie spice, baking powder, baking soda, and salt.
Pour batter into the prepared pan. Bake for 30-34 minutes or until a cake tester inserted into the center comes out clean.
Let the cake cool in the pan for 5 minutes. Then use the parchment paper to lift the cake out of the pan onto a wire rack to cool completely.
Frost with Cream Cheese Frosting, slice, and serve.
