Setup automatic backups and email alerts with Duplicity and Logwatch With Ubuntu 12.04

I am using Duplicity to automate off-site backups. What I wasn't doing before - checking integrity of remote backup. Due nature of backing up to remote location, it quite possible to have issues like half uploaded files, corrupted files, missing files, etc. I wanted to have something in place to check backup right after backup procedure is finished and email me if there are any differences.