I am afraid other than the product code on the box, the only other identifier would be via the products serial number. As we do not suggest you post your products serial number on the community, we would suggest you reach out to your regions Bose product support team where an agent will be able to identify this for you. If you follow this link, select your region and scroll down to "Contact Us". There you will find the appropriate contact information.
If you have any further questions, please let us know.