Wait, would you qualify an anthive as a hive mind? Ants have no individual indentity that anyone can find, and can't really survive alone. They would seem to fall inside your definition, but I think you said earlier that they don't.
You could say that an ant possesses only a group identity and no self identity, but I would argue that it has neither, because it lacks the requisite intelligence.
It could also be the case that ants have an intelligence that is beyond our detection and confirmation, because we don't have the means to interact with ants intelligently. Until proven otherwise, it's safer to start with the premise that ants exhibit intelligence-like behavior, rather than intelligence.
I don't think actual intelligence, in the sense humans have it, should be required. Rats are (probably) not sentient, but you could still say a rat has a mind. So, one could talk of the "mind" of an anthive, even if it's not a very smart mind.
Also, communicating with ANY hive mind, no matter how intelligent, would present serious problems. The individuals the hive mind is made of are by your definition completely mindless, and would see humans either as a food source, dangerous predators or terrain, depending on just how powerful each side was. Unless the hive mind went through the trouble of developing some kind of communication organ (planetary hive mouth?), we would have absolutely no way to talk to it, and could only tell it was intelligent if it had some extraordinary architecture or technology. And possibly not even then.
Speaking of which, what do you mean with "intelligence-like behavior"? I suppose there might be some metaphysical difference between something that is truly intelligent and something that only feigns intelligence, a "soul" of some kind that humans have and anthives and robots don't, but that is not a necessity. And until you can prove that YOU are truly intelligent, it is safer to start with the premise that all intelligence-like behaviour is intelligence.