I'm not sure what the full authenticated API[0] can do, maybe the sort of integration Uber did is possible. But with the open data APIs make it easy to find all bikes currently available in the system. I've used them to add JUMP to my bike finder webapp[2] and build a little service to send myself notification of where the nearest JUMP bike is in the morning[3] because they don't yet have huge coverage in DC (working on porting this from single user + pushover to a PWA using web push).

[0] https://app.socialbicycles.com/developer/

[1] https://dc.jumpmobility.com/opendata & https://sf.jumpmobility.com/opendata

[2] https://github.com/dschep/dc-bike-finder

[3] https://github.com/dschep/JUMPStart