bttt....I'd like to read any answers to that
The blockchain records relatively small transactions, not a lot of data. It records who is giving up their bitcoin, by address, and who is getting them, by address. The address of the bitcoin being given up is already on the blockchain. There can be N address inputs and M address outputs where N and M are 1 or more. There are potential complications that make it more useful like requiring multiple signatures for the seller (the buyer doesn't sign anything). In that case two or more sellers have to sign with their private keys in order for the bitcoin to be transacted.
Signatures are the heart of the blockchain. You have a private key on your person. Can be on the computer, phone or encoded on a small piece of paper. It's just 256 bits (32 bytes) so very short. But it can't be guessed or derived from the public key or from the address which is made public on the blockchain and derived from the public key.
When someone transacts some bitcoin to your address and that transaction gets placed on the blockchain, you are identified, essentially anonymously, by that address on the blockchain. Proof of your identity is the private key corresponding to that address, unless your private key has been stolen or you lost it. Security is important and backups are important, but they are relatively easy to accomplish. To prove you have the private key and you "are" the address derived from the private key, you can sign a transaction. The most obvious is to sign away some of your bitcoin that was transacted to your address. But there are more modern ways to prove your identity with new derivations of blockchain. But they all involve signing with your private key.
This simple fact and the indelible nature of the blockchain has created a slew of new opportunities for business recording, transaction recording, record keeping, etc. I'm not fully up on the latest, but it's really just getting going.