“We have no information, absolutely none,” a woman who answered the phone at the cemetery said on Tuesday. She allowed that Dillinger fans regularly stop by the cemetery office to inquire where his grave is. Once they find it, they like to pay homage and decorate it with various items, including carnations, coins and bullet shells, then post their photos online.

Mr. Dillinger’s body is still there — for the moment, anyway. It lies beneath a simple slab of gray granite known as a pillow marker, so named for its slightly elevated, puffed appearance and gentle slope toward the ground. It is engraved with raised block letters that spell out Mr. Dillinger’s name and the dates “1903-1934.”

In an unusual twist, the grave has been fortified with a thick layer of concrete, apparently to deter robbers. According to a report in The New York Times in 1964, “A showman in Wisconsin offered Dillinger’s father $10,000 to ‘borrow’ the body for a while, and eventually the Dillinger family had to pour three feet of concrete into the grave to prevent the body from being stolen.”

Jennifer O’Malley, a spokeswoman for the Indiana Department of Health, said she did not know the exact plans for Mr. Dillinger’s body, but that a single date listed on the permit suggested that “all actions related to this event will occur the same day.”

Savanah S. Light, a funeral director whose name was listed on the permit as a witness, did not respond to a message.