Imagine if there was a tamper-proof ledger of who owns what shares of what companies in such a way that no new shares could be issued and existing shareholders

Imagine if there was a tamper-proof ledger of who owns what shares of what companies in such a way that no new shares could be issued and existing shareholders could not be diluted in any way. Tamper-proof in this case means that even the company directors themselves could not modify it, even if all of them wanted to. Now imagine if all share buybacks (which were purchased by the company on the open market in exchange for real money and then permanently taken out of circulation) where recorded on this ledger in such a way that it could not possibly have been faked (can be independently verified using cryptography). If you see the value in this hypothetical scenario above, then you see the value of our use case.