Serial Number is a means of uniquely identifying the printer and
is regarded as a key element to tracking the management information
obtained via the Printer MIB over long periods.
RFC1759 went so far as to add optional groups to the Input and Output,
both of which contain Model and Serial Number information. The absence
of Serial Number for the overall printer appears like a glaring oversight.
Presumably, Serial Number was left out of prtGeneral, due to the fact that
it is an optional part of hrDeviceDescriptor. However, there is no standard
(or even well established convention) for parsing Serial Number from
hrDeviceDescriptor.
Harry Lewis - IBM Printing Systems