Is Thomas Putnam related to Israel Putnam?

Israel Putnam, the Revolutionary War general and leader of the Battle of Bunker Hill famous for saying, "Don't fire until you see the whites of their eyes" because they were low on ammunition was the grandson of Thomas Putnam born in 1614 and a judge during the Salem witch trials. Thomas had a son Edward who was also a judge during the trials, and Arthur Miller's judge in The Crucible was a composite of the two Putnams.