Something from out of this worldmany would think its damaged but I call tell its not that case and have never seen one like this before,intreasted to see its name reveal.
It appears to be a copper shell - Struck onto a normal coin; The incused side was down; and the obv. side was struck thru something also. The 'shell' could be a thin rolled thin planchet
My newbie guess would be a planchet that somehow(?) got layered over an existing penny and stamped. What we're seeing on the reverse is the imprint from the stuck penny it was stamped on top of.
Just saw this thread, and don't have time to think much about it before lunch ends . . . perhaps later.
After digesting Fred's explanation, I would say there is no coin there. There is simply the thin copper shell described by Fred, said shell (very thin piece of copper) having been struck after being placed between an already struck 1963 cent and the hammer? die. Neither the original 1963 cent nor the hammer die moved or changed position prior to, or during, the second strike. The copper piece was so thin that it actually wrinkled from the force of the strike. That is my best guess and I owe that guess to the astute obversational powers and the almost magical knowledge of Fred Weinberg, that he has gathered, gleaned, and gained over the many years he has spent in this most serious of Sciences, in this most habit-inducing of Hobbies, and in this most enjoyable of Endeavors, Numismatics.
I think we are looking at a thin planchet or shell, squeezed onto the obverse of a 1963 cent with a soft jaw vise, which was then bent while being pried off, and finally flattened, or nearly so.