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What it is:
RSA signing uses the private key to produce a signature for a specific message. What a signature guarantees (conceptually):
  • Authenticity: the signer had the private key
  • Integrity: the message has not changed since it was signed
  • Non-repudiation (in many contexts): the signer cannot plausibly deny signing (especially in a certificate-based system)
Try it (demo):
  1. Paste a message (example: “I approve this transaction: $100”)
  2. Paste the private key
  3. Generate signature
  4. Save the message + signature pair
Link: https://diveshfx.github.io/online-tools/rsa/sign/ or http://tiny.cc/rsasign