10:47 AM - 24 Feb 2020we do use PageRank internally, among many, many other signals. It's not quite the same as the original paper, there are lots of quirks (eg, disavowed links, ignored links, etc.), and, again, we use a lot of other signals that can be much stronger.
The Google Toolbar use to show PageRank in the toolbar when you turned it on but that was removed years ago and also the feed that some sites used to display PageRank on their sites.
John also clarifies domain authority and Google's algorithms:
8:11 AM - 24 Feb 2020We don't use domain authority at all in our algorithms.
(highlighting by yours truly)