API breaks for archive.org book items w/ multiple books

[mekarpeles]

Background

Any image (or book) on archive.org is viewable in IIIF format if you know the archive.org identifier: https://iiif.archivelab.org/:identifier. If the item is a book (multiple pages) or the item contains multiple images, the url can be extended to https://iiif.archivelab.org/:identifier$:page or https://iiif.archivelab.org/:identifier$:filename

For instance, the item LHMTvcartoonslogo has multiple images within it, one named amrdad.jpg which can be accessed as:
https://iiif.archivelab.org/iiif/LHMTvcartoonslogo$amrdad.jpg

For a book like TheGeometry, you can open the whole book using https://iiif.archivelab.org/iiif/TheGeometry or a specific page using the page number: https://iiif.archivelab.org/iiif/TheGeometry$12.

Problem

This pattern almost certainly breaks if an item contains multiple books given in this case a third piece of information (the unique book prefix) is required for the API to differentiate between the right book and the API doesn't support this yet.