To cloak a card, put it onto the battlefield face down. It becomes a 2/2 face-down creature card with ward {2} and no name, mana cost, or creature types. It's colorless and has a mana value of 0. Other effects that apply to the permanent can still grant it any characteristics it doesn't have or change the characteristics it does have.
Hide in Plain Sight
A permanent that turns face up or face down changes characteristics but is otherwise the same permanent. Spells and abilities that were targeting that permanent and Auras and Equipment that were attached to that permanent aren't affected unless the new characteristics of the object change the legality of those targets or attachments.
If a face-down spell leaves the stack and goes to any zone other than the battlefield (if it was countered, for example), you must reveal it. Similarly, if a face-down permanent leaves the battlefield, you must reveal it. You must also reveal all face-down spells and permanents you control if you leave the game or the game ends.
Magic: The Gathering · ™ & © Wizards of the Coast · Illus. Vincent Christiaens
Card data via Scryfall. Rarix is fan-made; not endorsed by the rights holders.
