On both OG and 360 discs, there is some ASP ID, as documented on XboxDevWiki:
"The following table lists known ASPnnnn numbers found on Xbox dvd disks, they are also on 360 disks but we dont list those in this wiki. The games listed are examples, its known for sure more disks can have these numbers and further research can be done, to determine the meaning. It is rumoured it might be a version string of some sorts slowly raising in xbox years old"

These numbers could be the same across various discs and thus moot to include, but it might be an idea to add to discs as a comment if nothing else like we do for EA discs?

Dumping PSP:  PSP-1000, 6.61 PRO-C ][ Can dump GCN, Wii, Wii U, DS, DSi, 3DS, Switch, PSP, PS2, PS3, Xbox, Xbox 360, CD-ROM, DVD-ROM, and GD-ROM

The ASP IDs do match across various discs, so they don't seem very useful to add to the DB. I doubt many people will see those tiny codes, but you can submit them if you wish.

Iirc we submit hashes of a file on 360 discs that match various waves - it was just a thought, I am also doubtful many people will be able to legibly read+submit them.

Dumping PSP:  PSP-1000, 6.61 PRO-C ][ Can dump GCN, Wii, Wii U, DS, DSi, 3DS, Switch, PSP, PS2, PS3, Xbox, Xbox 360, CD-ROM, DVD-ROM, and GD-ROM