Is CORS enabled on https://api.zotero.org/ ?

I am tryingt to do a cross domain ajax request from http://www.zotero.org/ to https://api.zotero.org/. It fails.

I am new to ajax so I am not sure if my ajax request is wrong. However if I understand correctly api.zotero.org must allow CORS. Please see here:

http://www.kendoui.com/blogs/teamblog/posts/11-10-04/using_cors_with_all_modern_browsers.aspx
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