If you ever get the message “BADSIG 40976EAF437D05B5″ or something similar, the following steps executed as adminstrator will fix the problem. These steps are rebuilding the apt lists directory in /var/lib/apt and worked for me on UBUNTU 11.04.
apt-get clean
cd /var/lib/apt
mv lists lists.old
mkdir -p lists/partial
apt-get clean
apt-get update
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