The budget splitter api requires a line_item_id but unlike the usual behaviour, it is not passed as a query parameter:
https://wiki.xandr.com/display/api/Splits+Service
It's https://api.appnexus.com/budget-splitter/LINE-ITEM-ID/splits instead of https://api.appnexus.com/budget-splitter?line_item_id=LINE-ITEM-ID