The pudding can be refrigerated in an airtight container up to 3 days. Chop and stir in bananas before serving. The miso caramel can be refrigerated up to 1 week. The crumb topping can be stored in an airtight container at room temperature up to 1 week.
Kokuto (Japanese brown sugar) can be purchased online at chefshop.com or substituted with dark brown sugar.