Modern Library, (1958).
Sadly, not the true first, which will set you back $10,000 or more. Can't remember if Allan ever had one of those, but I do recall a copy of a contract for a cruise that Salinger had signed, including his phone number. I wrote the number down in hommage to the passage in Catcher where Holden talks about wanting to call up authors but never called it. I had nothing to say. i'm sure he's changed the number many times by now.
The Modern Library edition, with the correct jacket noting there were 383 ML titles, is scarce in itself. There are four copies online, all between $100 and $200, all with problems (name, etc.). This one is price-clipped and has a tiny spot on the front panel of the jacket but is otherwise fine. I'm tempted to keep it, promising myself I will reread it, but am surrendering it instead. Allan was asking $250. I think it is worth a little more.
Update: Allan's former partner in Valhalla Books, Joe Marchione, wrote in the comments: "Allan used to say that certain books found certain booksellers and Salinger in general and Catcher in particular found him. More often than not, the copies were flawed in some way or another but still, true stated firsts, true first djs. He got 'em in and got 'em out fast ... nearly always wholesaling them to a higher end dealer for far less than he could have gotten with a bit of patience. Whenever the title would come up in conversation, he'd go out of his way to let whoever would listen know that he far preferred Nine Stories (and "For Esmé – with Love and Squalor" in particular) in terms of quality. I seem to recall that he felt it was a tougher find ... scarcer (though certainly not more sought after), but for this particular conversation (and I heard it many times over the years), the focus was on his opinion with regard to literary merit of the two."
Thanks, Joe. Come to think of it, I often remember Allan saying he was re-reading Nine Stories.