1/2cupbrown butter, solidified at room temp (120 ml)
1pinchsalt
3 1/2cupsconfectioner's sugar (420 g)
3-4tbspmilk
Instructions
Brown the Butter:
Add the butter to a 2- or 3-qt saucepan and cook on low, stirring occasionally, until the butter begins to simmer. Continue to cook and stir, watching carefully until the butter turns a golden color and brown flecks appear on the bottom. Remove the butter from the heat when the flecks are a medium to dark brown.
Divide the butter using liquid measuring cups. You will also need to spoon out the brown flecks to ensure they are divided evenly. Use 1/3 cup in the cake batter. Set 1/2 cup aside to cool at room temperature for making the frosting later.
Make the Cake:
Preheat the oven to 350° F (180° C) and line an 8x8-inch (20 cm) pan with parchment paper or spray with baking spray. In a medium bowl, sift together the flour, baking powder, salt, cinnamon, and nutmeg.
In a large bowl, add the 1/3 cup brown butter, sugar, and brown sugar. Stir well with a spoon or whisk to cool the butter down, then add the eggs one at a time, stirring until each is well combined. Next, stir in the vanilla, pumpkin, and milk. Finally, add the flour mixture, stirring until just combined, being careful not to overmix.
Pour the batter into the prepared pan and bake at 350° F (180° C) for 30-35 minutes, or until the top of the cake springs back to the touch. Allow the cake to cool for about 1 1/2 hours before frosting.
Make the Frosting:
In a large bowl, with an electric mixer, beat the softened butter until fluffy. Add the solidified brown butter and mix until fully incorporated. Next, add the salt and 1 cup of the confectioner's sugar and mix until well combined. Mix in 1 tablespoon of milk. Continue alternating between the remaining confectioner's sugar and milk, mixing until the frosting is smooth and of spreadable consistency.
Once the cake has cooled, spread on the frosting using a spatula or a butter knife. The cake can be stored at room temperature for up to 3 days, or 5-6 days in the refrigerator.