How do I upgrade OpenSSL using Ubuntu's repository?

I see the USN at http://www.ubuntu.com/usn/usn-2165-1/

and the package here https://launchpad.net/ubuntu/+source/openssl/1.0.1-4ubuntu5.12

but I can't find instructions on how to use that to upgrade my OpenSSL version.

The standard update commands don't upgrade my version of ssl:

sudo apt-get update
sudo apt-get dist-upgrade

openssl
OpenSSL> version
OpenSSL 1.0.1 14 Mar 2012

How do I get the latest version from the repository?

Edit:

dpkg --list openssl

||/ Name                      Version                   Description
+++-=========================-=========================-==================================================================
ii  openssl                   1.0.1-4ubuntu5.12         Secure Socket Layer (SSL) binary and related cryptographic tools

aptitude show libssl1.0.0

Package: libssl1.0.0              
State: installed
Automatically installed: no
Multi-Arch: same
Version: 1.0.1-4ubuntu5.12
Priority: required
Section: libs
Maintainer: Ubuntu Developers <[email protected]>
Architecture: amd64
Uncompressed Size: 2,991 k
Depends: libc6 (>= 2.14), zlib1g (>= 1:1.1.4), debconf (>= 0.5) | debconf-2.0
PreDepends: multiarch-support
Breaks: openssh-client (< 1:5.9p1-4), openssh-client (< 1:5.9p1-4), openssh-server (< 1:5.9p1-4), openssh-server (< 1:5.9p1-4),
        libssl1.0.0 (!= 1.0.1-4ubuntu5.12)
Replaces: libssl1.0.0 (< 1.0.1-4ubuntu5.12)
Description: SSL shared libraries
 libssl and libcrypto shared libraries needed by programs like apache-ssl, telnet-ssl and openssh. 

 It is part of the OpenSSL implementation of SSL.

Can you do aptitude show libssl1.0.0? You probably have the right patched version if you did apt-get dist-upgrade and rebooted, but it doesn't show up in openssh version, because ubuntu packages programs differently. Edit: typo