You could, for example, use h-resume with ActivityPub.
ActivityPub is, in some ways, just another JSON-LD name-space.
Just use h-resume as another JSON-LD name-space along with ActivityPub.
Yes, as a starting point, that's what I thought as well. Just if there already would have been sinething, I wouldn't try and reinvent the wheel.
One issue with blindly adopting #h-resume is, that in an #ActivityPub context, you usually don't just state "here is my resume", but also e.g. "I have a new job", which then is an update to your resume. A use case, that never existed for h-resume.
So there's still work to do. But it's definitively a good start.