Is it possible to get the set of tweets/status that have quoted a given tweet/status via API?
I don’t think there is an endpoint for this yet, so currently it’s not possible, except maybe somehow with the search API, but even that is not possible right now, I think.
Using the tweet permalink as a query should work ok: https://twitter.com/search?f=tweets&vertical=default&q=https%3A%2F%2Ftwitter.com%2FMissPiggy%2Fstatus%2F648990295741214721&src=typd
Indeed, thanks for noting this!
But note that with the search API you can only get very recent Tweets.