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People actually do change handles and it does break things (including trust and reputation). A number of times I've wondered who the heck I was following was before realizing they may have changed their handle.
e.g.,
http://twitter.com/statuses/friends.json?page=N
There are 100 friends per page, so the thing to do would be to first get the user info:
http://twitter.com/users/show/USERNAME.json
From that extract the number of friends which gives the number of pages to fetch. The returned JSON or XML structure contains the numeric ids as well as the screen names.
The social graph expands so rapidly though that whitelisting would be necessary to go very far. I asked for whitelisting, not expecting a positive response really, and got this:
<quote>
Thanks for requesting to be on Twitter's API whitelist.
Unfortunately, we've rejected your request.
Here's why:
Apologies, but we don't have the resources to handle research projects on social graphs. Our Data Mining Feed is available if you'd like to study the content of statuses on our service.
</quote>
The data mining feed is evidently a random sample of 600 status updates each minute. Not sure what that's good for exactly, but must be something! Maybe looking for emergent memes, since that's a fair sample of the twitter daily traffic.