Origin: The song itself is not originally by Elvis Presley. It’s a cover of a song written by Nine Inch Nails frontman Trent Reznor and released in 1994.
Elvis Version: The “Essential Elvis Version” is a compilation album released in 2007. It included various Elvis recordings, some remastered or with alternate takes.
Specifics of Elvis’s Version: There seems to be some ambiguity about this particular version. While there are live recordings of Elvis performing Hurt, there is no official confirmation of a studio recording by Elvis being included in the “Essential Elvis Version” compilation.