• 1/2 cup (1 stick) unsalted butter, room temperature, plus more for pan
• 1 2/3 cups all-purpose flour
• 1 teaspoon ground cinnamon
• 1/2 teaspoon fresh ground nutmeg
• 1/4 teaspoon ground allspice
• Pinch ground cloves
• 1/2 teaspoon coarse salt
• 1/2 teaspoon baking powder
• 1/2 teaspoon baking soda
• 1 cup pure pumpkin puree (from a 15-ounce can)
• 1/2 cup milk, room temperature
• 1 1/2 cups sugar
• 2 large eggs, room temperature

Frosting

• 8 ounces cream cheese, room temperature
• 1/4 cup (1/2 stick) unsalted butter, cut into pieces, room temperature
• Pinch coarse salt
• 1 cup confectioners' sugar, sifted