Hi!
I don’t have experience using APIs, but it seems that it can be done rather easily with a search request, limiting results to a specific URI. See h’s API documentation here: Hypothesis API documentation (v1)
Also…
There are some integration examples here: Tools, Plug-ins and Integrations : Hypothesis
General information for developers is here: Annotation for Developers : Hypothesis
There seem to be various communication channels there; perhaps there is a place to ask about our use-cases.
It is (of course?) open source software, so it may be self-hosted if convenient 
Hmm I’m not sure I followed that part. I’m still not familiar with the gitbuilding workflow.
How would you use that list?
Best!