The A.T. according to our official maps, split with two options, one has you bypass the peak on Crawford Path and turning left on Gulfside Trail (if you are heading north). The other option is as Arthur Dent said "The A.T. northbound goes through the old corral, up between the old Yankee building and the tv towers on the Crawford path, over the summit, and down the Trinity Heights Connector to the Gulfside trail, then takes a right going under the Cog tracks toward the Great Gulf." I have heard from through hikers that both are correct and also dependent on which map or guide book you are using if any. If I were hiking it though as one of those once in a lifetime events, I think a few extra feet up the summit is worth it.
Staff Meteorologist/Night Observer, KMWN (Mt Washington Obs., NH)