If you have a new enough JD product with an engine ID tag, JD maybe able to tell you your Product Identification Number (PIN) Here is a phone contact number to them.
Here is the info if anyone needs to do this,
John Deere Customer Contact Center
Turf & Utility Products
Here is the email address to the Customer Care Center -- mailto:firstname.lastname@example.org
I used this to identify my JD332 missing it's Tractor ID tag.
Hope this helps..