In a mixing bowl, whisk together the pumpkin puree, evaporated milk, eggs, brown sugar, granulated sugar, salt, cinnamon, ginger, cloves, and vanilla extract until smooth.
Pour the filling into the unbaked pie crust.
Bake for 15 minutes, then reduce the oven temperature to 350°F (175°C) and continue baking for 40-45 minutes, or until a knife inserted into the center comes out clean.
Let the pie cool on a wire rack before serving. Enjoy with whipped cream!