ASAs sometimes show one serial number in the "show version" output and a completely different one in the "show inventory" output. If you are tasked with applying a license to your ASA you will probably ask "which serial number do I use?" The simple answer is; use the "show inventory" serial number.
But what if I've already lodged my license against the wrong serial number? Simply email/contact the licensing team (licensing@cisco.com) and they'll sort it out for you.