Current REST API for query for build notifications is missing ability to query _incrementally_.

"last_notified_build_id" option is not sufficient, as when you query with e.g "last_notified_build_id=1", you get a list of builds with ids with gaps e.g. 1, 2, 5, and you don't know if builds 3 and 4 haven't yet completed, or you just have access rights to them, and you will never get notification on them.

So you don't know if next time you can query with last_notified_build_id=5 (because you will never get notifications about 3 and 4 due to permissions) or you should re-query with last_notified_build_id=1 (because the build are still running)

Instead there should last_status_date parameter, so that you could query for all notifications on builds that completed (either successfully or failed depending on your notification settings) after a specified date.