Unfortunately, at this time there is no single API call that will do this for you. It would require a bit of post processing. You would need to get the list of sources (resources/json/delphix/source). Once you have the list of sources you can look at the "runtime" object, which has a property called "status".
Below is an example of retrieving a specific source with the response. I have substituted large, unrelated chunks from the response with "..." to make it more convenient to read.
You could write a script that gets all sources, parses the output and filters. A command line json processor like jq (https://stedolan.github.io/jq/) can be pretty handy, but of course this can also be done in many other ways.