And finally was able to submit requests via the API, but the documentation completely omits how to add/edit/remove assets (servers, workstations, etc.) via the API, and that is a crucial task that's been assigned for me to figure out.
Is it even possible to add/edit/remove assets with the Service Desk Plus On Demand APIs?
If not, the customer we're implementing this for, who specifically wanted this product for asset management, is going to be very sorely disappointed.