I requested the paperback version of a book. A hardback version of the book arrived. I checked the ISBN, according to this it should be paperback. It is a library copy, so they apparently had the book hardbound.

Questions: I marked it received / no problem, because the ISBNs did match. Was that the right thing to do?

Now that I'm ready to repost it, what should I do? No hardback edition was published. If I list it without an ISBN it will likely not find a new home. I was thinking of listing it under the ISBN and then contacting whoever asks for it and letting them know the condition of the book. 

Actually, no, because the person originally listing did it incorrectly. Not only does the ISBN have to match, so does the binding. If you want to relist the book, you will need to do it without an ISBN. That doesn't mean it won't be found however, lots of people (including myself) search by title or author. I think there is also a way to tag the book that is listed which will lead to your book...but someone else will have to tell you how to do it or that I'm wrong. :-)

You cannot post a hard cover book to a PBS listing for a paperback. The binding type is one of the things that must match. If you are certain that no hardcover was ever published (often its the book clubs that produce hard covers even though a main stream HC was never published) you can send proof of that to the Team through feedback and see if they can change the listing. I would have at least 3 sources showing the book was never published as a hard cover, just checking Amazon would not be proof enough. Usually they won't if there are any copies posted or any wishers at that time.

If they cannot change the listing you will need to post it as a book without an ISBN. To help it get noticed you can add a tag to the listing for the paperback with your PBS asigned ISBN, something like "this ISBN available as a hard cover under XXXXX". Usually that helps quite a bit. 

The listing doesn't need to be changed.  It was an error on the original senders part.  Like others said you will have to repost the book without and ISBN.  You can tag the version you ordered with "posted under ISBN xxxx" and just use whatever ISBN PBS gives the book.  If it's a WL book, you could also offer it in the BB or the WL thread for it's genre. State what's wrong with it and someone might want you to post it right to them.

The listing doesn't need to be changed.

I disagree if, as the OP stated it was never issued in a Hard Cover. If a listing for a binding IS incorrect, we should get it fixed. No reason to leave incorrect things in the database especially when they make posting harder and cause more RWAPs.

Sorry to add confusion, that's what I get for reading old newsletter Questions while answering questions in the forums, I get things totally confused. Yes the book needs to be posted as a book without an ISBN.

My interpretation is that 1. the book was only published as paperback, and 2. the PBS listing says paperback. So, it does not need to be changed.

The OP says that the book sent to her is an ex-library book, that was converted by the library into a hardcover book. So, she has the only hardcover copy ever made of this book. (probably).

My library does that with certain authors who only published in paperback, but the books became classic later. They send them out to a company that removes the paper cover and binds then with a hardcover.