I was scouring the Google API all day, I was already thinking, okay, I need to type a proxy and make a script for a check from that site, because there you can make 100 requests from 1 type.
And only now, at the last attempt, I started to google it to this service, I threw out a link from Google to the analogue from 2014, https://github.com/eudoxia0/avatar-api/blob/master/src/avatar-api.lisp . The appeal goes to the API of some picasaweb (I did not go into details). The main thing without any authorization is to enter the desired email address and obtain such data as the Name, UserId and link to the avatar: http://picasaweb.google.com/data/entry/api/user/vvputin@gmail.com?alt=json
{ "version":"1.0", "encoding":"UTF-8", "entry":{ "xmlns":"http://www.w3.org/2005/Atom", "xmlns$gphoto":"http://schemas.google.com/photos/2007", "id":{"$t":"http://picasaweb.google.com/data/entry/api/user/111689979090137919444?alt=json"}, "published":{"$t":"2016-09-09T17:20:24.602Z"}, "updated":{"$t":"2016-09-08T12:05:14.519Z"}, "category":[ { "scheme":"http://schemas.google.com/g/2005#kind", "term":"http://schemas.google.com/photos/2007#user" } ], "title":{ "$t":"111689979090137919444", "type":"text" }, "summary":{ "$t":"", "type":"text" }, "link":[ { "rel":"http://schemas.google.com/g/2005#feed", "type":"application/atom+xml", "href":"http://picasaweb.google.com/data/feed/api/user/111689979090137919444?alt=json" }, { "rel":"alternate", "type":"text/html", "href":"https://picasaweb.google.com/111689979090137919444" }, { "rel":"self", "type":"application/atom+xml", "href":"http://picasaweb.google.com/data/entry/api/user/111689979090137919444?alt=json" } ], "author":[ { "name":{"$t":"vanyo1980"}, "uri":{"$t":"https://picasaweb.google.com/111689979090137919444"} } ], "gphoto$user":{"$t":"111689979090137919444"}, "gphoto$nickname":{"$t":"vanyo1980"}, "gphoto$thumbnail":{ "$t":"https://lh3.googleusercontent.com/-t-Hdv_PGH4I/AAAAAAAAAAI/AAAAAAAAAAA/vrOJgVgMD6A/s64-c/111689979090137919444.jpg" } } }