What are digital Signatures in bitcoin and crypto?

Digital signatures are a means for the owner of a coin on the ledger to establish their intent to use that coin in a transaction. Digital signatures work by generating a unique hash of the message and signing it using the sender’s private key. The hash generated is unique to the message, and changing any part of the message will completely change the hash thus rendering the digital signature invalid.

We use handwritten signatures on handwritten or typed messages to tie an identity to a message. Similarly, a digital signature is a technique that binds a person to digital data. This can be independently verified by the receiver. One of Bitcoin’s core innovations is that it allows for digital signatures to be validated without needing a third party who knows the identity of the transacting parties.

When the user builds a transaction, a highly flexible scripting language is used to define the conditions under which that coin can be spent. Incorporating signatures into these conditions using Elliptic Curve Digital Signature Algorithm (ECDSA), the signature type used in Bitcoin, provides a means for the user or users to provably show they control a private key. This key is linked to a script based puzzle which the user provides when they receive the coin. To spend it, the user must provide the right script incorporating the necessary proofs to correctly solve the script. It is upon the peers participating in the transaction to determine it’s content, create the signatures and submit it to the network for validation.