The Disqus API docs at https://disqus.com/api/docs/posts/vote/ and https://disqus.com/api/docs/threads/vote/ show some examples on registering votes for Posts and Threads, respectively.
These are the only documented API calls related to voting, and from the docs the calls are to be used to:
Register a vote on a post.
and
Register a vote on a thread.
So what API call should be used to determine if a user has already voted, and what their vote was? Is it up to the application developer utilizing the API to keep track of this?