Not sure, but you can get creative with Lotuscript. I haven’t tested this, but you could create an agent and have it monitor a the trash folder for “new” documents. The document won’t be new, but it’ll be new in the view.
Once you find a new document, you trap the current user and date/time and then write it to a new field in the document.
I don’t know if it’ll work. but it’s worth a try.