Well, there are 2 versions of the '96 remote. The newer one is RF and the older one Infra-Red (IR).
To tell the difference, look inside your Jeep between the sun visors. If there is a module, with a small, dark red dome (1/2" diameter maybe) pointing down, then you have the IR Remote. If this isn't there you have RF remote (or no remote).
The IR remote is part # 56009031.
The IR remote was used on the 1993 to 1996 Jeep Grand Cherokee, Wagoneer, Cherokee, and Country editions. They are $112 at the dealership. Best place to find ones are Ebay, where new they sell for $70 or less, and used $30 or more. You need to program your Jeep to respond to the new remote, look in your users manual for the instructions.
The RF remote is part # 56008761, 56008762.
The RF remote comes in 2 types, Remote entry #1 and #2. I'm not sure of the difference. They list for about $57 each at the dealership. These are on eBay as well.
Oh, and the part number is not on the remote, which is why this wasn't an EZ answer.........
Your welcome.