This word is important. One of my favorite movie parts ever is in the Gladiator when Maximus reveals who he is... he has this identity...
“My name is Maximus Decimus Meridius, Commander of the Armies of the North, General of the Felix Legions, loyal servant to the true emperor, Marcus Aurelius. Father to a murdered son, husband to a murdered wife. And I will have my vengeance, in this life or the next.”
He knows who he is. It does help that it's a script, but that's besides the point.
Everyone has an identity like that - even your children!