Brown 1/2 cup of butter until golden and nutty, then let cool slightly.
Whisk together the browned butter, brown sugar, sourdough starter, pumpkin puree, eggs, and vanilla until smooth.
In a separate bowl, whisk flour, pumpkin pie spice, salt, baking soda, and baking powder. Fold gently into the wet mixture until just combined.
For the streusel, mix flour, brown sugar, cinnamon, and salt. Work in the softened butter with a fork or fingers until crumbly.
Line an 8×8 inch pan with parchment. Spread half the batter, sprinkle with half the streusel, then repeat with the remaining batter and streusel.
Bake at 375°F (190°C) for 45–55 minutes, or until a toothpick in the center comes out clean.
Whisk together confectioners’ sugar, maple syrup, cream, vanilla, and salt to make the glaze.
Cool the cake fully before drizzling with glaze. Slice and enjoy.