The problem :
W: GPG error: http://archive.canonical.com
 jaunty Release: The following signatures were invalid: BADSIG 
40976EAF437D05B5 Ubuntu Archive Automatic Signing Key 
<ftpmaster@ubuntu.com>
W: GPG error: http://security.ubuntu.com
 jaunty-security Release: The following signatures were invalid: BADSIG 
40976EAF437D05B5 Ubuntu Archive Automatic Signing Key 
<ftpmaster@ubuntu.com>
W: GPG error: http://us.archive.ubuntu.com
 jaunty Release: The following signatures were invalid: BADSIG 
40976EAF437D05B5 Ubuntu Archive Automatic Signing Key 
<ftpmaster@ubuntu.com>
W: GPG error: http://us.archive.ubuntu.com
 jaunty-updates Release: The following signatures were invalid: BADSIG 
40976EAF437D05B5 Ubuntu Archive Automatic Signing Key 
<ftpmaster@ubuntu.com>How to fix :
apt-get clean cd /var/lib/apt mv lists lists.old mkdir -p lists/partial apt-get clean apt-get update