The stone he put in its place looked almost exactly like Jon's stone, but it wasn't. Sure, it worked in every way like the original stone, but anyone who held the rock would find themselves under an unusual affliction.
For whenever they held this stone in their grasp, the bearer would find themselves very slowly gaining weight. To keep a wishing stone to yourself would be greedy, and this stone will show everyone just how greedy you are. This was Bogart's Stone.