I know that the villagers of Konoha were afraid of the Kyuubi because of its rampage on the village, and that the Fourth Hokage saved the village by sealing it inside Naruto. Based on this answer, the Third Hokage hid his identity to protect him.
Did the Third Hokage hide only Naruto's relation with the Fourth, or also him being the Kyuubi jinchuriki? If so, did the villagers find out because Naruto went out of control with the Kyuubi's chakra?
Edit: To make clear what I am exactly curious about.
Why didn't they also hide Naruto's identity as a jinchuriki so the villagers will not hate him?