`A'isha told that the Prophet went out one morning wearing a striped[1] cloak of black goat's hair. Al-Hasan b. `Ali came and he took him under it, then al-Husain came and went under it along with him, then Fatima came and he took her under it, then `Ali came and he took him under it. He then said, "God only desires to remove abomination from you, members of the family, and purify you[2]."
It literally means one decorated with representations of camels' saddles.
Quran, 33:33.
Muslim transmitted it.