Do I mention that a paper in mathematics is a "Short Communication" or "Note" or "Research Article" when citing it?
No, you should NOT include this information. These designations are journal-specific and would provide little information to someone not familiar with each of the journal's classification schemes. For example, a short communication in one journal might represent a more impressive paper (because for some journals a very short paper might be, on average, more impressive than that journal's average quality paper [1]) than in another journal where the bulk of the papers might be short papers, often being &quot;announcement of results&quot; type papers. Also, many journals have no such classification, and thus the reader of your bibliography may wonder whether the paper was not classified in this way by the journal or whether you simply forgot to include the journal's classification.
[1] &quot;Shorter Notes was established to publish very short papers of unusually elegant and polished character ...&quot;