It might be nowhere near as big a problem as the crippling bugs and framerate issues that rendered the PC version of Batman: Arkham Knight so broken that WB chose to suspend sales, but it appears that the PS4 version of the game is having some trouble of its own.
People all across the Internet are reporting that they aren’t able to connect to the leaderboards for the game, instead receiving a simple: “A connection to PlayStation Network cannot be established. Gameplay will continue without Leaderboard access until a connection is made.”