The idea of uniquely identifying an object is an amazing concept, it opens up whole avenues of creation.
It reminds me of the unidentified object game trope but on an entirely different level. Where an object is truly unidentified until it has been fully examined, its material, construction technique even the quality of the construction itself. You could guess to its type and use but unknown to you could contain some hidden use or a rare mysterious material.
you could have for example a bucket, but vast variations of that bucket be possible, its shape, size, quality, material and so on be unique to that bucket. In that sense a player could make a bucket identical to another players yet ever so slightly different.
I’m recalling stories in game lore of enchanted tools and devices, created by long dead mages and ancient civilization. That only a few of these objects had been created or survived, and their construction method lost to time.