mathematical scheme for demonstrating the authenticity of a digital message or document (Wikipedia). A cryptographic toolkit is often used along with a public-private key pair to digitally sign a message and to verify a message.

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A digital signature is a mathematical scheme that demonstrates the authenticity of a message or document. A valid digital signature gives the recipient reason to believe that the message was created by a known sender, such that the sender cannot deny having sent the message (authentication and non-repudiation) and that the message was not altered in transit (integrity).