How to get a list of all retweeters in Twitter?

The Twitter API has an endpoint that returns up to 100 retweeter IDs for a given tweet.

Note that for historical reasons, that endpoint only returns up to 100 results and the documentation about the cursor is useless. Twitter refused to fix the situation.

2013 note

That said, the first thread on the Developers site that surfaced in a quick google has @episod, a Twitter employee saying:

You can't likely get to all of them. The data is spread out. Your best bet is to use the REST API to determine many of the users who performed the retweet, but the data will still be constrained.

It's easiest to track retweets as they happen rather than try to find them from the past. Use the Streaming API for that.

It looks likes there's a couple services out there doing almost exactly this. A quick google pulls up http://onekontest.com/ and there's a few other Twitter contest services, but they all seem to be different levels of broken since they haven't kept up with changes to the API.

As far as the Twitter API itself is concerned, if you were expecting more than 100 responses, I think using GET statuses/mentions makes the most sense. That API call returns any mentions of a user, and you can pass the flag include_rts to include any retweets of your tweets. Then, if you wanted to list RTs of a specific tweet, you could check the in_reply_to_status_id field in the returned data to see if it matches the original tweet ID. This API call only returns the last 800 status, 200 at a time, so if you expect a bunch of data, you would need to poll the API repeatedly over time to get all the tweets. I imagine services like favstar are doing exactly this, just on a larger scale.

If you're actually looking for code to do something like this, I wrote a sinatra app called twitter-rss-digest which handles querying Twitter over time to track different sorts of queries. It's pretty rough, and doesn't quite handle this specifically, but it might point you in the right direction if you want to code something.