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The digital signature value is a protected checksum. A protected checksum is the value of an algorithmic function that is dependent on the contents of the data object and is stored together with the data object. Its purpose is to protect the data object against active attacks that attempt to change the checksum to match changes that a malicious individual has made to the data object.

Often, a digital signature is a two key thing. One key is used to encrypt, and the other key is used to decrypt. The decryption key is the public key that everyone knows, while the encryption key is the private key that only the encrypter knows. This is a multi-level thing, where certificates are used to certify that a particular public key is valid, using private keys of higher and higher authority. Eventually, you reach root authority, and that is a list of certificates installed in your computer that you trust explicitly. The two key algorithm is so good, that it is nearly impossible to figure out the private key based on the public key and/or the document itself.

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