Hi wordnwot, I don't think that the K number from your copy belongs on this entry; that was just a case of Atlantic's distribution changed from Polydor to Kinney, with Kinney buying Polydor's surplus stock and stickering it with their new number until they pressed further copies. There is a separate linked entry below for the Kinney release, so that number can be deleted from here, though these comments can remain to explain the history.
I've added the Kinney catalogue number K40034 because my copy has the Sleeve sticker on the back with this number hiding the old 588190 number beneath. But my vinyl has 588190 cat number making mine a mixture.