Embedding so issuu miniviewer stays current as we update

So we want to embed a mini-viewer on our website for our paper's current edition each week. We had the bright idea to always title the current edition on issuu as "pgncurrentedition" as well as to upload each week's edition as its date for archive purposes.

The embed code uses the URL which would be same each week but also an "idnumber" which is specific to each upload. How do I use or set up some ebed code so that each week our issuu widget on our website always links to the "pgncurrentedition" URL and the link always remains current?

Is this the best way to approach this problem?

Thanks
Sean