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hey everyone welcome back to my Python videos this is the last video on the series on encryption and it deals with hashing and file signatures so even if you don't use these libraries and code in your code you should know how encryption works and this is a good way to to learn all the codes oh my github sides you can leave a comment there if you have any questions you can leave a comment here if you have any questions so I look forward to hearing from you so in our video on asymmetric encryption we were able to use Alice and Bob as examples and how they shared keys and how Alice was able to send Bob a file with his public key knowing only he could decrypt it and that's great but the problem is that Bob would never know that Alice actually sent the email Bob's public key could conceivably be on key servers or be out in the wild and anyone could send them that file so the way to put this problem to rest would be for Alice to in addition to using Bob's public key but signing the document creating a hash to ensure that it hasn't changed and signing it with her private key so now Bob would know that that it definitely came from house so this is this is the point of hashing and digital signatures to illustrate how hashing and signing works with the RSA library in Python I've created three files first file is simply create the public and private key we did that before with asymmetric encryption in asymmetric encryption video and secondly we're going to hash sign and grid a hash and sign it with our private key and the last file decrypt this and verifies what we've done is appropriate so first of all let's create the public and private keys and same as before private key is here and the public key we've saved them how to files so the second file we'll use is to create the hash so we'll import the RSA library where I created a function to open the files before I did this line by line but that's not very efficient so the first variable I ran through it was for the private key so we created the private key here that's what we're going to use the sign and I have a message that we created so that we can test them so the message is simple text here and what we're going to do is we're going to create a hash on that message meaning that we're going to create a digital stamp of that file to show that it hasn't been changed and then we'll I'll create a hash separately and we chart 512 this is optional in the RSA library if we run this down here it creates the hash and it signs it all in the one line sometimes you may need...