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You can get the Bios serial number from a hyper-v vm the same way you would get the service tag from a pc using the following command. 


wmic bios get serialnumber

You get a number like:
0000-0000-0000-0000-0000-0000-00

This number should remain constant. how ever i do can't confirm this as i have not tested what happens when the VM is moved from hyper-v server to another or even to another vm platform like virtual box.