This analysis begins with exploratory SQL queries made directly to Labs DB, the live replicas of the Wikimedia databases used by developers:

https://wikitech.wikimedia.org/wiki/Help:Tool_Labs/Database

Luckily it is at least a less painful process thanks to Yuvi Panda's excellent Quarry public querying interface:

https://meta.wikimedia.org/wiki/Research:Quarry

Too bad! As you can see, there are only 1094 DOI links in iwlinks. So we'll have to use dumps rather than directly query with SQL. Luckily, Aaron Halfaker's mwcite generates these data nicely. Now to get the pageviews for the pages that have DOIs and other scholarly references...