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Statistically speaking it would be flawed to use this to compare and prioritize a list of urls in order to rank them by interestingness/attention/etc.

The reason is that pages that have Facebook like buttons embedded on them are statistically speaking going to have a higher chance of getting shared than those that don't (such as Hacker News - which doesn't have such buttons).

I guess it depends what you might use this for, but to me it seems to only have limited value.

We've been doing that on Maemo News (http://maemo.org/news/) for a few years now. Works well, especially if you couple it with local, HN-style voting and assign a separate weight for each relevancy source
Is there a way to get sum of the share count for all pages in a domain?

This one only reflects share count of the specific page--or only the homepage if you pass a domain.

We're working on this: http://www.jaxified.com/. Right now we're focused on blogs since it's easy to see new content, but we're working on adding support for static sites as well.
Add the domain to facebook.com/insights and then you can download an excel spreadsheet with the daily totals, just sum these to get the total shares/likes for a domain
And if you want to parse the Insights data into pretty pictures and graphs that are easier to analyse than raw data, sign up for our private beta at PageLever.com.
Twitter: http://urls.api.twitter.com/1/urls/count.json?url=http://new...

LinkedIn: http://www.linkedin.com/cws/share-count?url=http://news.ycom...

These APIs are marked private (as opposed to Facebook's) so use at your own risk.

I packaged a few of the private ones with this weekend project: http://sharedcount.com Unfortunately, only Facebook does URL normalization for you, so dumb things like trailing slashes have a big effect on the count.
> Unfortunately, only Facebook does URL normalization for you, so dumb things like trailing slashes have a big effect on the count.

Is that true?

http://urls.api.twitter.com/1/urls/count.json?url=http://new...

http://urls.api.twitter.com/1/urls/count.json?url=http://new...

http://urls.api.twitter.com/1/urls/count.json?url=http://new...

I stand corrected. Twitter used to suck at URL normalization, but it looks like they must have fixed it. But, Delicious and Digg both are a pain.
Is there an API for complete URL normalization, including unshortening URLs?

Facebook and Twitter, do basic normalization, but do not unshorten shortened links.

edit: This has already been discussed on HN: http://news.ycombinator.com/item?id=577457

edit 2: graphs.facebook.com will aggressively and unfortunately normalize any YouTube link to youtube.com. See, for example, http://graph.facebook.com/http://www.youtube.com/watch?v=ZB8... This give the number of shares for youtube.com, not this individual video. I am not sure how to get facebook share stats for a particular YouTube video.

Very nice, thanks for sharing. Bit of constructive feedback, the fact that the text box deletes itself as soon as you click in it is hella annoying,
Noted, and fixed. I was using HTML5 placeholder. I'll just put it in the value instead.
Seeing the comment counts makes me wonder what the comments were. Is there any way to see those?
Perhaps you'd like to also display the Google Page Rank, or something to that effect, like the shares of the domain.
Thanks for sharing these - tremendously helpful!
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I use that on my HN mashup... http://hnfluence.com/

Also my nyt mashup... http://influentialtimes.com/

What API/URL do you use to get the bit.ly counts?
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Nice find. Facebook should have a morning paper about all of the changes & additions they make. They never seem to stick to any one way of doing anything and drive developers nuts!
Does anyone know at what point your IP would get throttled? If so, any usage guidelines if you plan on analyzing a large url set?
Does this only count public posts that "everyone" can see?
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