What pitcher has pitched a perfect game of only 27 pitches?

In the history of Baseball, as of the 2012 Major League Baseball (MLB) season, 21 perfect games ("27 up, 27 down") have been thrown - 19 of which have been thrown in the Modern Era. Of these 21 perfect games thrown, none has been pitched with only 27 pitches being thrown. On record, the fewest pitches thrown in a perfect game was 74 pitches thrown by Addie Joss of the Cleveland Naps against the Chicago White Sox on October 2, 1908.