Keep div hidden on different page

[Dave Strider]

I currently have this code:

$(document).ready(function(){
    $("#hide").click(function(){
        $("#menu").hide(500);
    });
    $("#show").click(function(){
        $("#menu").show(500);
    });
});

What I would like to do is for it to remember the users selection. Essentially if the user is on the home page and chooses to hide the menu, it will stay hidden while they are on a different page.