Flyer from LAPD Central District Station
Streetsblog can now confirm the report by Streetsblog commenter "furbat" will issue a citation to unlicensed bicycles under Los Angeles Municipal Code 26.01. While I was downtown registering both my wife's and my own road bikes I grabbed a picture of the above flyer. I was also able to confirm that not every district registers bicycles, it's at the discretion of the District Captain.
So far, we've confirmed that two LAPD stations do license bicycles. At the Central District station, bicycles can be licensed every Tuesday and Thursday from 10:00 A.M. to 8 P.M. and the DPS Station at USC will register you're bike whenever they are open. While we've heard reports that these are the only two LAPD stations that license bicycles, the only ones we've confirmed do not are Hollywood District and the station at the corner of San Vicente and Venice Blvds.