I think you'd be better off using the type of DVD drive that was used in the original Xbox. Not sure what the #'s near the barcode are for, but I do remember the DVD drive being fairly important in terms of value and reliability.
iirc The Thompson drives were pretty trashy and Samsung drives were more sought after. Philips drives were average. I believe only one of these drives has a replacement belt for the tray in production as well but not sure which one. There is also a 4th and somewhat rare DVD drive from Hitachi that was used towards the end of production, looks similar to the Thompson but the opening is wider. No idea how reliable the Hitachi model is.
There were other hardware revisions(7 total) that changed other internal parts like the hard drive and video chip but I do not believe there was any specific model # that can be tied to those changes.
Might not be what you were looking for but as an Xbox collector, this is what I would use to determine different models of the base unit. Meaning I'd label them Xbox(Thompson Drive), Xbox(Phillips Drive), Xbox(Samsung Drive) or something similar.