The files in partial/ don't look too damning:

root@hunt:/var/lib/apt/lists/partial# file *
ftp.debian.org_debian_dists_jessie-updates_contrib_source_Sources:          
empty
ftp.debian.org_debian_dists_wheezy-updates_contrib_source_Sources:          
empty
mirrors.kernel.org_ubuntu_dists_xenial-proposed_restricted_source_Sources:  
empty
mirrors.kernel.org_ubuntu_dists_yakkety-proposed_multiverse_source_Sources: 
empty
mirrors.kernel.org_ubuntu_dists_yakkety-proposed_restricted_source_Sources: 
empty
mirrors.kernel.org_ubuntu_dists_yakkety-security_restricted_source_Sources: 
empty
mirrors.kernel.org_ubuntu_dists_yakkety-updates_restricted_source_Sources:  
empty
mirrors.kernel.org_ubuntu_dists_zesty-proposed_restricted_source_Sources:   
empty
security.debian.org_dists_jessie_updates_contrib_source_Sources:            
ASCII text, with very long lines
root@hunt:/var/lib/apt/lists/partial# cat 
security.debian.org_dists_jessie_updates_contrib_source_Sources 
Package: virtualbox
Binary: virtualbox-qt, virtualbox, virtualbox-dbg, virtualbox-dkms, 
virtualbox-source, virtualbox-guest-dkms, virtualbox-guest-source, 
virtualbox-guest-x11, virtualbox-guest-utils
Version: 4.3.36-dfsg-1+deb8u1
Maintainer: Debian Virtualbox Team 
<pkg-virtualbox-de...@lists.alioth.debian.org>
Uploaders: Ritesh Raj Sarraf <r...@debian.org>, Gianfranco Costamagna 
<locutusofb...@debian.org>
Build-Depends: bzip2, debhelper (>= 9), default-jdk, dh-python, dkms (>= 
2.1.1.1), docbook-xml, docbook-xsl, dpkg-dev (>= 1.15.6~), g++-multilib, 
genisoimage, gsoap (>= 2.8.16), iasl, imagemagick, kbuild (>= 
1:0.1.9998svn2695), libasound2-dev, libcap-dev, libcurl4-gnutls-dev, 
libdevmapper-dev, libdrm-dev, libgl1-mesa-dev, libglu1-mesa-dev, libidl-dev, 
libpam0g-dev, libpixman-1-dev, libpng-dev, libpulse-dev, libqt4-dev (>= 4.4.0), 
libqt4-network (>= 4.4.0), libqt4-opengl-dev (>= 4.4.0), libsdl1.2-dev, 
libssl-dev, libvncserver-dev, libvpx-dev, libx11-dev, libxcomposite-dev, 
libxcursor-dev, libxdamage-dev, libxext-dev, libxi-dev, libxinerama-dev, 
libxml2-dev, libxmu-dev, libxrandr-dev, libxrender-dev, libxslt1-dev, 
libxt-dev, lsb-release, lynx-cur, makeself, module-assistant, python-dev (>= 
2.6.6-3~), texlive-fonts-extra, texlive-fonts-recommended, texlive-latex-extra, 
texlive-latex-recommended, uuid-dev, x11proto-gl-dev, x11proto-xf86dri-dev, 
xserver-xorg-dev, xsltproc, yasm (>= 0.7.0)
 , zlib1g-dev
Architecture: amd64 i386 all
Standards-Version: 3.9.6
Format: 3.0 (quilt)
Files:
 a21ddb4a21ad729519508d28b14e20b5 3696 virtualbox_4.3.36-dfsg-1+deb8u1.dsc
 1423337a5a9970dda72e60fcaa0f8d05 47713148 virtualbox_4.3.36-dfsg.orig.tar.xz
 8010c3b4e28f7910e44d9ec9ea9376ef 75292 
virtualbox_4.3.36-dfsg-1+deb8u1.debian.tar.xz
Vcs-Browser: http://anonscm.debian.org/gitweb/?p=pkg-virtualbox/virtualbox.git
Vcs-Git: git://anonscm.debian.org/pkg-virtualbox/virtualbox.git
Checksums-Sha1:
 686d044b04e48816db96db89b425f3758ba80e26 3696 
virtualbox_4.3.36-dfsg-1+deb8u1.dsc
 b458c3c7ce0f1e9081dbcde9e39325653962a449 47713148 
virtualbox_4.3.36-dfsg.orig.tar.xz
 55a72ca9a4ddcd19fa983b31f2a519273eea51b8 75292 
virtualbox_4.3.36-dfsg-1+deb8u1.debian.tar.xz
Checksums-Sha256:
 f5703f0247ad06c375f529ace969cee15627a4d670fc948f13e8c9ebef1f9710 3696 
virtualbox_4.3.36-dfsg-1+deb8u1.dsc
 09e7159d4e406ec9f0834e680bb4f3651519a5bbf535c8cc83fb635c2fd96f39 47713148 
virtualbox_4.3.36-dfsg.orig.tar.xz
 d06cd6dde60e6cdfb44ac03feede7ce10bc6e720a38781cb2c9d84b0f7099bae 75292 
virtualbox_4.3.36-dfsg-1+deb8u1.debian.tar.xz
Homepage: http://www.virtualbox.org/
Package-List: 
 virtualbox deb contrib/misc optional arch=amd64,i386
 virtualbox-dbg deb contrib/debug extra arch=amd64,i386
 virtualbox-dkms deb contrib/kernel optional arch=all
 virtualbox-guest-dkms deb contrib/kernel optional arch=all
 virtualbox-guest-source deb contrib/kernel optional arch=all
 virtualbox-guest-utils deb contrib/misc optional arch=amd64,i386
 virtualbox-guest-x11 deb contrib/x11 optional arch=amd64,i386
 virtualbox-qt deb contrib/misc optional arch=amd64,i386
 virtualbox-source deb contrib/kernel optional arch=all
Directory: pool/updates/contrib/v/virtualbox
Priority: source
Section: contrib/misc

-- 
You received this bug notification because you are a member of Ubuntu
Touch seeded packages, which is subscribed to apt in Ubuntu.
https://bugs.launchpad.net/bugs/1642386

Title:
  At least one invalid signature was encountered.

Status in apt package in Ubuntu:
  New

Bug description:
  Hello, a recent apt update appears to have broken apt entirely.

  A coworker reported seeing troubles: http://paste.ubuntu.com/23487135/

  To test, I upgraded my laptop then immediately re-ran apt-get update
  && apt-get -u dist-upgrade:

  sarnold@hunt:~/Downloads$ sudo apt-get update && sudo apt-get -u dist-upgrade
  Hit:1 http://mirrors.kernel.org/ubuntu xenial InRelease
  Hit:2 http://mirrors.kernel.org/ubuntu xenial-updates InRelease               
                                    
  Hit:3 http://mirrors.kernel.org/ubuntu xenial-security InRelease              
                                    
  Ign:4 http://mirrors.kernel.org/ubuntu precise InRelease                      
                                    
  Get:5 http://mirrors.kernel.org/ubuntu precise-updates InRelease [55.7 kB]    
                                    
  Get:6 http://mirrors.kernel.org/ubuntu precise-security InRelease [55.7 kB]   
                                    
  Get:7 http://mirrors.kernel.org/ubuntu precise-proposed InRelease [55.7 kB]   
                                    
  Ign:8 http://mirrors.kernel.org/ubuntu trusty InRelease                       
                                    
  Get:9 http://mirrors.kernel.org/ubuntu trusty-updates InRelease [65.9 kB]     
                                    
  Hit:10 http://mirrors.kernel.org/ubuntu trusty-security InRelease             
                                    
  Get:11 http://mirrors.kernel.org/ubuntu trusty-proposed InRelease [65.9 kB]   
                                    
  Get:12 http://mirrors.kernel.org/ubuntu xenial-proposed InRelease [247 kB]    
                                    
  Err:1 http://mirrors.kernel.org/ubuntu xenial InRelease                       
                                    
    At least one invalid signature was encountered.
  Hit:13 http://security.debian.org jessie/updates InRelease                    
                                    
  Err:2 http://mirrors.kernel.org/ubuntu xenial-updates InRelease               
                                    
    At least one invalid signature was encountered.
  Get:14 http://mirrors.kernel.org/ubuntu yakkety InRelease [247 kB]            
                                    
  Err:3 http://mirrors.kernel.org/ubuntu xenial-security InRelease              
                                    
    At least one invalid signature was encountered.
  Hit:15 http://mirrors.kernel.org/ubuntu yakkety-updates InRelease             
                                    
  Get:16 http://mirrors.kernel.org/ubuntu yakkety-security InRelease [93.3 kB]  
                                    
  Hit:17 http://security.debian.org wheezy/updates InRelease                    
                                    
  Get:18 http://mirrors.kernel.org/ubuntu yakkety-proposed InRelease [95.7 kB]  
                                    
  Hit:19 http://mirrors.kernel.org/ubuntu zesty InRelease                       
                                    
  Hit:20 http://mirrors.kernel.org/ubuntu zesty-updates InRelease               
                                    
  Hit:21 http://mirrors.kernel.org/ubuntu zesty-security InRelease              
                                    
  Err:5 http://mirrors.kernel.org/ubuntu precise-updates InRelease              
                                    
    At least one invalid signature was encountered.
  Hit:22 http://mirrors.kernel.org/ubuntu zesty-proposed InRelease              
                                    
  Hit:23 http://mirrors.kernel.org/ubuntu precise Release                       
                                    
  Hit:24 http://mirrors.kernel.org/ubuntu trusty Release                        
                                    
  Ign:25 http://archive.canonical.com/ubuntu precise InRelease                  
                                    
  Hit:26 http://security.ubuntu.com/ubuntu xenial-security InRelease            
                                    
  Hit:27 
http://ppa.launchpad.net/ci-train-ppa-service/stable-phone-overlay/ubuntu vivid 
InRelease
  Hit:28 http://ftp.debian.org/debian unstable InRelease                        
                 
  Err:6 http://mirrors.kernel.org/ubuntu precise-security InRelease        
    At least one invalid signature was encountered.
  Err:7 http://mirrors.kernel.org/ubuntu precise-proposed InRelease             
                 
    At least one invalid signature was encountered.
  Err:9 http://mirrors.kernel.org/ubuntu trusty-updates InRelease               
                 
    At least one invalid signature was encountered.
  Ign:29 http://archive.canonical.com/ubuntu trusty InRelease                   
                  
  Hit:30 http://ppa.launchpad.net/snappy-dev/image/ubuntu vivid InRelease       
                  
  Hit:31 http://ftp.debian.org/debian testing InRelease                     
  Err:10 http://mirrors.kernel.org/ubuntu trusty-security InRelease         
    At least one invalid signature was encountered.
  Err:11 http://mirrors.kernel.org/ubuntu trusty-proposed InRelease             
                  
    At least one invalid signature was encountered.
  Err:13 http://security.debian.org jessie/updates InRelease                    
                  
    At least one invalid signature was encountered.
  Hit:32 http://archive.canonical.com/ubuntu xenial InRelease                   
                  
  Hit:33 
http://ppa.launchpad.net/ci-train-ppa-service/stable-phone-overlay/ubuntu 
xenial InRelease
  Ign:34 http://ftp.debian.org/debian jessie InRelease                     
  Err:12 http://mirrors.kernel.org/ubuntu xenial-proposed InRelease        
    At least one invalid signature was encountered.
  Err:14 http://mirrors.kernel.org/ubuntu yakkety InRelease                
    At least one invalid signature was encountered.
  Hit:35 http://archive.canonical.com/ubuntu yakkety InRelease              
  Err:15 http://mirrors.kernel.org/ubuntu yakkety-updates InRelease         
    At least one invalid signature was encountered.
  Hit:36 http://ftp.debian.org/debian jessie-updates InRelease              
  Err:16 http://mirrors.kernel.org/ubuntu yakkety-security InRelease        
    At least one invalid signature was encountered.
  Err:17 http://security.debian.org wheezy/updates InRelease                
    At least one invalid signature was encountered.
  Hit:37 http://archive.canonical.com/ubuntu zesty InRelease                
  Err:18 http://mirrors.kernel.org/ubuntu yakkety-proposed InRelease        
    At least one invalid signature was encountered.
  Ign:38 http://ftp.debian.org/debian wheezy InRelease                     
  Err:19 http://mirrors.kernel.org/ubuntu zesty InRelease                  
    At least one invalid signature was encountered.
  Err:20 http://mirrors.kernel.org/ubuntu zesty-updates InRelease           
    At least one invalid signature was encountered.
  Hit:39 http://archive.canonical.com/ubuntu precise Release                
  Err:21 http://mirrors.kernel.org/ubuntu zesty-security InRelease          
    At least one invalid signature was encountered.
  Hit:40 http://ftp.debian.org/debian wheezy-updates InRelease              
  Err:22 http://mirrors.kernel.org/ubuntu zesty-proposed InRelease          
    At least one invalid signature was encountered.
  Err:41 http://mirrors.kernel.org/ubuntu precise Release.gpg               
    At least one invalid signature was encountered.
  Hit:42 http://archive.canonical.com/ubuntu trusty Release                
  Err:43 http://mirrors.kernel.org/ubuntu trusty Release.gpg               
    At least one invalid signature was encountered.
  Hit:44 http://ftp.debian.org/debian jessie Release  
  Err:26 http://security.ubuntu.com/ubuntu xenial-security InRelease
    At least one invalid signature was encountered.
  Err:27 
http://ppa.launchpad.net/ci-train-ppa-service/stable-phone-overlay/ubuntu vivid 
InRelease
    At least one invalid signature was encountered.
  Err:28 http://ftp.debian.org/debian unstable InRelease
    At least one invalid signature was encountered.
  Hit:45 http://ftp.debian.org/debian wheezy Release  
  Err:30 http://ppa.launchpad.net/snappy-dev/image/ubuntu vivid InRelease
    At least one invalid signature was encountered.
  Err:31 http://ftp.debian.org/debian testing InRelease
    At least one invalid signature was encountered.
  Err:32 http://archive.canonical.com/ubuntu xenial InRelease
    At least one invalid signature was encountered.
  Err:33 
http://ppa.launchpad.net/ci-train-ppa-service/stable-phone-overlay/ubuntu 
xenial InRelease
    At least one invalid signature was encountered.
  Err:35 http://archive.canonical.com/ubuntu yakkety InRelease
    At least one invalid signature was encountered.
  Err:36 http://ftp.debian.org/debian jessie-updates InRelease
    At least one invalid signature was encountered.
  Err:37 http://archive.canonical.com/ubuntu zesty InRelease
    At least one invalid signature was encountered.
  Err:46 http://archive.canonical.com/ubuntu precise Release.gpg
    At least one invalid signature was encountered.
  Err:40 http://ftp.debian.org/debian wheezy-updates InRelease
    At least one invalid signature was encountered.
  Err:47 http://archive.canonical.com/ubuntu trusty Release.gpg
    At least one invalid signature was encountered.
  Err:48 http://ftp.debian.org/debian jessie Release.gpg
    At least one invalid signature was encountered.
  Err:49 http://ftp.debian.org/debian wheezy Release.gpg
    At least one invalid signature was encountered.
  Fetched 981 kB in 1s (496 kB/s)
  Reading package lists... Done
  W: An error occurred during the signature verification. The repository is not 
updated and the previous index files will be used. GPG error: 
http://mirrors.kernel.org/ubuntu xenial InRelease: At least one invalid 
signature was encountered.
  W: An error occurred during the signature verification. The repository is not 
updated and the previous index files will be used. GPG error: 
http://mirrors.kernel.org/ubuntu xenial-updates InRelease: At least one invalid 
signature was encountered.
  W: An error occurred during the signature verification. The repository is not 
updated and the previous index files will be used. GPG error: 
http://mirrors.kernel.org/ubuntu xenial-security InRelease: At least one 
invalid signature was encountered.
  W: An error occurred during the signature verification. The repository is not 
updated and the previous index files will be used. GPG error: 
http://mirrors.kernel.org/ubuntu precise-updates InRelease: At least one 
invalid signature was encountered.
  W: An error occurred during the signature verification. The repository is not 
updated and the previous index files will be used. GPG error: 
http://mirrors.kernel.org/ubuntu precise-security InRelease: At least one 
invalid signature was encountered.
  W: An error occurred during the signature verification. The repository is not 
updated and the previous index files will be used. GPG error: 
http://mirrors.kernel.org/ubuntu precise-proposed InRelease: At least one 
invalid signature was encountered.
  W: An error occurred during the signature verification. The repository is not 
updated and the previous index files will be used. GPG error: 
http://mirrors.kernel.org/ubuntu trusty-updates InRelease: At least one invalid 
signature was encountered.
  W: An error occurred during the signature verification. The repository is not 
updated and the previous index files will be used. GPG error: 
http://mirrors.kernel.org/ubuntu trusty-security InRelease: At least one 
invalid signature was encountered.
  W: An error occurred during the signature verification. The repository is not 
updated and the previous index files will be used. GPG error: 
http://mirrors.kernel.org/ubuntu trusty-proposed InRelease: At least one 
invalid signature was encountered.
  W: An error occurred during the signature verification. The repository is not 
updated and the previous index files will be used. GPG error: 
http://security.debian.org jessie/updates InRelease: At least one invalid 
signature was encountered.
  W: An error occurred during the signature verification. The repository is not 
updated and the previous index files will be used. GPG error: 
http://mirrors.kernel.org/ubuntu xenial-proposed InRelease: At least one 
invalid signature was encountered.
  W: An error occurred during the signature verification. The repository is not 
updated and the previous index files will be used. GPG error: 
http://mirrors.kernel.org/ubuntu yakkety InRelease: At least one invalid 
signature was encountered.
  W: An error occurred during the signature verification. The repository is not 
updated and the previous index files will be used. GPG error: 
http://mirrors.kernel.org/ubuntu yakkety-updates InRelease: At least one 
invalid signature was encountered.
  W: An error occurred during the signature verification. The repository is not 
updated and the previous index files will be used. GPG error: 
http://mirrors.kernel.org/ubuntu yakkety-security InRelease: At least one 
invalid signature was encountered.
  W: An error occurred during the signature verification. The repository is not 
updated and the previous index files will be used. GPG error: 
http://security.debian.org wheezy/updates InRelease: At least one invalid 
signature was encountered.
  W: An error occurred during the signature verification. The repository is not 
updated and the previous index files will be used. GPG error: 
http://mirrors.kernel.org/ubuntu yakkety-proposed InRelease: At least one 
invalid signature was encountered.
  W: An error occurred during the signature verification. The repository is not 
updated and the previous index files will be used. GPG error: 
http://mirrors.kernel.org/ubuntu zesty InRelease: At least one invalid 
signature was encountered.
  W: An error occurred during the signature verification. The repository is not 
updated and the previous index files will be used. GPG error: 
http://mirrors.kernel.org/ubuntu zesty-updates InRelease: At least one invalid 
signature was encountered.
  W: An error occurred during the signature verification. The repository is not 
updated and the previous index files will be used. GPG error: 
http://mirrors.kernel.org/ubuntu zesty-security InRelease: At least one invalid 
signature was encountered.
  W: An error occurred during the signature verification. The repository is not 
updated and the previous index files will be used. GPG error: 
http://mirrors.kernel.org/ubuntu zesty-proposed InRelease: At least one invalid 
signature was encountered.
  W: An error occurred during the signature verification. The repository is not 
updated and the previous index files will be used. GPG error: 
http://mirrors.kernel.org/ubuntu precise Release: At least one invalid 
signature was encountered.
  W: An error occurred during the signature verification. The repository is not 
updated and the previous index files will be used. GPG error: 
http://mirrors.kernel.org/ubuntu trusty Release: At least one invalid signature 
was encountered.
  W: An error occurred during the signature verification. The repository is not 
updated and the previous index files will be used. GPG error: 
http://security.ubuntu.com/ubuntu xenial-security InRelease: At least one 
invalid signature was encountered.
  W: An error occurred during the signature verification. The repository is not 
updated and the previous index files will be used. GPG error: 
http://ppa.launchpad.net/ci-train-ppa-service/stable-phone-overlay/ubuntu vivid 
InRelease: At least one invalid signature was encountered.
  W: An error occurred during the signature verification. The repository is not 
updated and the previous index files will be used. GPG error: 
http://ftp.debian.org/debian unstable InRelease: At least one invalid signature 
was encountered.
  W: An error occurred during the signature verification. The repository is not 
updated and the previous index files will be used. GPG error: 
http://ppa.launchpad.net/snappy-dev/image/ubuntu vivid InRelease: At least one 
invalid signature was encountered.
  W: An error occurred during the signature verification. The repository is not 
updated and the previous index files will be used. GPG error: 
http://ftp.debian.org/debian testing InRelease: At least one invalid signature 
was encountered.
  W: An error occurred during the signature verification. The repository is not 
updated and the previous index files will be used. GPG error: 
http://archive.canonical.com/ubuntu xenial InRelease: At least one invalid 
signature was encountered.
  W: An error occurred during the signature verification. The repository is not 
updated and the previous index files will be used. GPG error: 
http://ppa.launchpad.net/ci-train-ppa-service/stable-phone-overlay/ubuntu 
xenial InRelease: At least one invalid signature was encountered.
  W: An error occurred during the signature verification. The repository is not 
updated and the previous index files will be used. GPG error: 
http://archive.canonical.com/ubuntu yakkety InRelease: At least one invalid 
signature was encountered.
  W: An error occurred during the signature verification. The repository is not 
updated and the previous index files will be used. GPG error: 
http://ftp.debian.org/debian jessie-updates InRelease: At least one invalid 
signature was encountered.
  W: An error occurred during the signature verification. The repository is not 
updated and the previous index files will be used. GPG error: 
http://archive.canonical.com/ubuntu zesty InRelease: At least one invalid 
signature was encountered.
  W: An error occurred during the signature verification. The repository is not 
updated and the previous index files will be used. GPG error: 
http://archive.canonical.com/ubuntu precise Release: At least one invalid 
signature was encountered.
  W: An error occurred during the signature verification. The repository is not 
updated and the previous index files will be used. GPG error: 
http://ftp.debian.org/debian wheezy-updates InRelease: At least one invalid 
signature was encountered.
  W: An error occurred during the signature verification. The repository is not 
updated and the previous index files will be used. GPG error: 
http://archive.canonical.com/ubuntu trusty Release: At least one invalid 
signature was encountered.
  W: An error occurred during the signature verification. The repository is not 
updated and the previous index files will be used. GPG error: 
http://ftp.debian.org/debian jessie Release: At least one invalid signature was 
encountered.
  W: An error occurred during the signature verification. The repository is not 
updated and the previous index files will be used. GPG error: 
http://ftp.debian.org/debian wheezy Release: At least one invalid signature was 
encountered.
  W: Failed to fetch http://mirrors.kernel.org/ubuntu/dists/xenial/InRelease  
At least one invalid signature was encountered.
  W: Failed to fetch 
http://mirrors.kernel.org/ubuntu/dists/xenial-updates/InRelease  At least one 
invalid signature was encountered.
  W: Failed to fetch 
http://mirrors.kernel.org/ubuntu/dists/xenial-security/InRelease  At least one 
invalid signature was encountered.
  W: Failed to fetch 
http://security.ubuntu.com/ubuntu/dists/xenial-security/InRelease  At least one 
invalid signature was encountered.
  W: Failed to fetch 
http://ppa.launchpad.net/ci-train-ppa-service/stable-phone-overlay/ubuntu/dists/vivid/InRelease
  At least one invalid signature was encountered.
  W: Failed to fetch 
http://ppa.launchpad.net/snappy-dev/image/ubuntu/dists/vivid/InRelease  At 
least one invalid signature was encountered.
  W: Failed to fetch 
http://ppa.launchpad.net/ci-train-ppa-service/stable-phone-overlay/ubuntu/dists/xenial/InRelease
  At least one invalid signature was encountered.
  W: Failed to fetch 
http://mirrors.kernel.org/ubuntu/dists/precise-updates/InRelease  At least one 
invalid signature was encountered.
  W: Failed to fetch 
http://mirrors.kernel.org/ubuntu/dists/precise-security/InRelease  At least one 
invalid signature was encountered.
  W: Failed to fetch 
http://mirrors.kernel.org/ubuntu/dists/precise-proposed/InRelease  At least one 
invalid signature was encountered.
  W: Failed to fetch 
http://mirrors.kernel.org/ubuntu/dists/trusty-updates/InRelease  At least one 
invalid signature was encountered.
  W: Failed to fetch 
http://mirrors.kernel.org/ubuntu/dists/trusty-security/InRelease  At least one 
invalid signature was encountered.
  W: Failed to fetch 
http://mirrors.kernel.org/ubuntu/dists/trusty-proposed/InRelease  At least one 
invalid signature was encountered.
  W: Failed to fetch 
http://mirrors.kernel.org/ubuntu/dists/xenial-proposed/InRelease  At least one 
invalid signature was encountered.
  W: Failed to fetch http://archive.canonical.com/ubuntu/dists/xenial/InRelease 
 At least one invalid signature was encountered.
  W: Failed to fetch http://mirrors.kernel.org/ubuntu/dists/yakkety/InRelease  
At least one invalid signature was encountered.
  W: Failed to fetch 
http://mirrors.kernel.org/ubuntu/dists/yakkety-updates/InRelease  At least one 
invalid signature was encountered.
  W: Failed to fetch 
http://mirrors.kernel.org/ubuntu/dists/yakkety-security/InRelease  At least one 
invalid signature was encountered.
  W: Failed to fetch 
http://mirrors.kernel.org/ubuntu/dists/yakkety-proposed/InRelease  At least one 
invalid signature was encountered.
  W: Failed to fetch 
http://archive.canonical.com/ubuntu/dists/yakkety/InRelease  At least one 
invalid signature was encountered.
  W: Failed to fetch http://mirrors.kernel.org/ubuntu/dists/zesty/InRelease  At 
least one invalid signature was encountered.
  W: Failed to fetch 
http://mirrors.kernel.org/ubuntu/dists/zesty-updates/InRelease  At least one 
invalid signature was encountered.
  W: Failed to fetch 
http://mirrors.kernel.org/ubuntu/dists/zesty-security/InRelease  At least one 
invalid signature was encountered.
  W: Failed to fetch 
http://mirrors.kernel.org/ubuntu/dists/zesty-proposed/InRelease  At least one 
invalid signature was encountered.
  W: Failed to fetch http://archive.canonical.com/ubuntu/dists/zesty/InRelease  
At least one invalid signature was encountered.
  W: Failed to fetch http://ftp.debian.org/debian/dists/unstable/InRelease  At 
least one invalid signature was encountered.
  W: Failed to fetch http://ftp.debian.org/debian/dists/testing/InRelease  At 
least one invalid signature was encountered.
  W: Failed to fetch 
http://ftp.debian.org/debian/dists/jessie-updates/InRelease  At least one 
invalid signature was encountered.
  W: Failed to fetch http://security.debian.org/dists/jessie/updates/InRelease  
At least one invalid signature was encountered.
  W: Failed to fetch 
http://ftp.debian.org/debian/dists/wheezy-updates/InRelease  At least one 
invalid signature was encountered.
  W: Failed to fetch http://security.debian.org/dists/wheezy/updates/InRelease  
At least one invalid signature was encountered.
  W: Failed to fetch http://mirrors.kernel.org/ubuntu/dists/precise/Release.gpg 
 At least one invalid signature was encountered.
  W: Failed to fetch http://mirrors.kernel.org/ubuntu/dists/trusty/Release.gpg  
At least one invalid signature was encountered.
  W: Failed to fetch 
http://archive.canonical.com/ubuntu/dists/precise/Release.gpg  At least one 
invalid signature was encountered.
  W: Failed to fetch 
http://archive.canonical.com/ubuntu/dists/trusty/Release.gpg  At least one 
invalid signature was encountered.
  W: Failed to fetch http://ftp.debian.org/debian/dists/jessie/Release.gpg  At 
least one invalid signature was encountered.
  W: Failed to fetch http://ftp.debian.org/debian/dists/wheezy/Release.gpg  At 
least one invalid signature was encountered.
  W: Some index files failed to download. They have been ignored, or old ones 
used instead.
  Reading package lists... Done
  Building dependency tree       
  Reading state information... Done
  Calculating upgrade... Done
  The following packages were automatically installed and are no longer 
required:
    linux-headers-4.4.0-21 linux-headers-4.4.0-21-generic 
linux-headers-4.4.0-22 linux-headers-4.4.0-22-generic
    linux-headers-4.4.0-24 linux-headers-4.4.0-24-generic 
linux-headers-4.4.0-28 linux-headers-4.4.0-28-generic
    linux-headers-4.4.0-31 linux-headers-4.4.0-31-generic 
linux-headers-4.4.0-34 linux-headers-4.4.0-34-generic
    linux-headers-4.4.0-36 linux-headers-4.4.0-36-generic 
linux-headers-4.4.0-38 linux-headers-4.4.0-38-generic
    linux-image-4.4.0-21-generic linux-image-4.4.0-22-generic 
linux-image-4.4.0-24-generic
    linux-image-4.4.0-28-generic linux-image-4.4.0-31-generic 
linux-image-4.4.0-34-generic
    linux-image-4.4.0-36-generic linux-image-4.4.0-38-generic
  Use 'sudo apt autoremove' to remove them.
  0 upgraded, 0 newly installed, 0 to remove and 0 not upgraded.


  I'll attach the full terminal log soon.

  Thanks

  ProblemType: Bug
  DistroRelease: Ubuntu 16.04
  Package: apt 1.2.15
  ProcVersionSignature: Ubuntu 4.4.0-45.66-generic 4.4.21
  Uname: Linux 4.4.0-45-generic x86_64
  NonfreeKernelModules: zfs zunicode zcommon znvpair zavl
  ApportVersion: 2.20.1-0ubuntu2.1
  Architecture: amd64
  CurrentDesktop: Unity
  Date: Wed Nov 16 12:29:54 2016
  InstallationDate: Installed on 2012-10-18 (1490 days ago)
  InstallationMedia: Ubuntu 12.04.1 LTS "Precise Pangolin" - Release amd64 
(20120823.1)
  SourcePackage: apt
  UpgradeStatus: Upgraded to xenial on 2016-04-30 (200 days ago)

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