Making sure one copy stays in the library is probably a larger challenge then the problem it seeks to solve.
But for sure, large library systems have lots of copies of popular books. I just went over to the NYPL website and clicked on some links to get a list of popular books last year. Here's an example where they have 81 copies of the book:
You can also see that some books are far more popular in some locations than others. New York Public Library has "only" ~20 copies of "Do Androids Dream of Electric Sheep" while Chicago Public Library has 360 copies:
I haven't seen those kind of labels on library books in a really long time!
But yes, each book has a "barcode" that uniquely identifies it. The thing is, these large library systems have dozens of physical buildings all over the city (a paradox? The larger the city, the more likely it is that everyone can walk to the library) and a specific copy of the book lives in a specific library building.
If you decide that one specific copy is the "reference" copy, then nobody can check it out from their local library branch while people that live everywhere else in the city can check it out from their local library branch! So you are going to need to make the "reference" copy a dynamic thing, which is a lot of effort to solve a problem that in real life is really minor.
Big city libraries (at least in North America - I know Toronto is the same) are amazing, because libraries get better with scale. And perhaps because of their nature, they seem to attract the kind of people that are really good at managing them. I doubt you can find a big city library where the residents think it is a cesspool of corruption. They've got the resources and management to just buy extra copies of books - it's not worth doing anything else.
But for sure, large library systems have lots of copies of popular books. I just went over to the NYPL website and clicked on some links to get a list of popular books last year. Here's an example where they have 81 copies of the book:
https://browse.nypl.org/iii/encore/record/C__Rb22051849?lang...
You can also see that some books are far more popular in some locations than others. New York Public Library has "only" ~20 copies of "Do Androids Dream of Electric Sheep" while Chicago Public Library has 360 copies:
https://browse.nypl.org/iii/encore/record/C__Rb17190851__San...
https://chipublib.bibliocommons.com/v2/record/S126C676207