Any peace officer of this state in fresh pursuit of a person who is reasonably believed by him to have committed a high misdemeanor in this state or has committed, or attempted to commit, any criminal offense in this state in the presence of such officer, or for whom such officer holds a warrant of arrest for a criminal offense, shall have the authority to arrest and hold in custody such person anywhere in this state.
N.J.S. § 2A:156-1