pedantic (thefreedictionary.com): characterized by a narrow,often ostentatious concern for book learning and formal rules, “a pedantic attention to details”
adjective: hairsplitting,particular,formal,precise,fussy,picky(informal),nit-picking(informal)punctilious,priggish,pedagogic.
pedantic: marked by a narrow focus on or display of learning especially in its trivial aspects.