Preheat oven to 350°F. Line an 8x8-inch pan with aluminum foil and spray with cooking spray.

In a large bowl, whisk together the eggs, sugar, pumpkin puree, oil, pumpkin pie spice, and vanilla until well combined.

Add the flour, baking powder, baking soda, and salt to the wet ingredients and stir until just combined.

Pour the batter into the prepared pan and smooth the top. Bake for 35 minutes, or until a toothpick inserted in the center comes out clean.

Let the cake cool completely on a wire rack before frosting.

To prepare the frosting, beat together the softened cream cheese, butter, confectioners’ sugar, vanilla, and salt until smooth and fluffy.

Spread the frosting evenly over the cooled cake and serve.