A facility for managing ownership of units of an item is described. The facility defines a commingling zone. For units of the item that are outside the commingling zone, the facility attributes ownership among a plurality of owners individually to each of the units. For units of the item that are inside the commingling zone, the facility attributes ownership among the plurality of owners to particular numbers of the units without attributing ownership individually to each of the units. The facility includes a method for reconciling ownership of units in the event of any discovered inaccuracies.