can you explain what you mean? what do you mean by verify? the contents integrity(a checksum)? the ability to confirm it was not modified once distributed (Public key cryptography e.g. PGP)? something else?

I don’t understand how you expect the verification of a physical book to work. You’d have to scan/OCR the entire book to verify the signature.

Alternatively you could do a hash/signature per page to make verification of a single page easier.

Many public keys chain-linked with one master key - are just for example

Have a look at Merkle trees.