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This information is not available in the officially released version of the API (2.2) and you won't find it in the documentation.
However, the Stack Exchange mobile apps have some 'special' API methods, hosted under https://mobile.stackexchange.com, which do expose this information. That's why you're able to see (and maintain) this list from the apps. They ...
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This is not the most educated answer, but through trial and error I have found a way to get the information I'm needing for my project. However, the biggest downside to this method seems to be the throttles that are in place. Websites like Codepen can easily exceed this, especially if you're using a debug window and a live/full screen view side by side for ...
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A unified call would be nice, but everything you asked for falls into one of 3 categories:
It's already in the users/{ids}/associated call.
It's trivially easy to calculate in the app or script. EG: Total reputation and total badges.
Or, it's the kind of information that changes very slowly and should be heavily cached by your app/script for at least a ...
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No, those fields are not exposed on the user object. They are not in SEDE either, according to the schema. I think those fields have been added after the API was created, and they simply didn't bother to update.
The alternative, if you keep the number of requests low, is to scrape each user's profile page. Take care that anonymous requests open user ...
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