There is no rule that states that a tie goes to the runner. Well at least not in those exact words. The portion of the rule in section 6.05 that applies to this states, "A batter is out when after he hits a fair ball, he or first base is tagged before he touches first base." Since the rule states "before", it is easy to assume that a tie does in fact go to the runner. But, since this is a judgment call you won't win an argument by yelling "a tie goes to the runner".