If its within the window that twitter offers via search, you can go
back via a mixture of using the max_id, a rpp of 100, and paging.

However there is almost no way to verify that the oldest one is truely
the first. What you really need is Firehose, and then constantly log
everything to be able to find the original one. Unfortunately, it
seems few of us will ever get this type of access.

The best thing you can do, is to use the Track Streaming API to
constantly catch all tweets for things that are trending, refresh the
list of what's trending frequently, and the on any change, so a search
back for the past 10 days for all the tweets for that term. Without
Firehose, I can't think of a better way.

-dave/ @tibbon

On Jun 19, 12:41 am, Cameron Kaiser <spec...@floodgap.com> wrote:
> > I am wondering if it is possible for me to get the first ever tweet on
> > a trending topic?
>
> You could try to page back arbitrarily far but there is no specific method
> for this, and it won't work for extremely fat or popular topics.
>
> --
> ------------------------------------ personal:http://www.cameronkaiser.com/--
>   Cameron Kaiser * Floodgap Systems *www.floodgap.com* ckai...@floodgap.com
> -- Michael Jackson is [reverse] Pinocchio: more lies, less nose. -- Vanity 
> Fair

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