Randomized, but static, output on every page? Possible? How?

Maybe you can look how this plugin works and change it for what you need

I have no idea how I would modify that or how it works.

I thought there might be some wordpress related solution or php solution such as the one below

<?
 //Chooses a random number
 $num = Rand (1,6);
 //Based on the random number, gives a quote
 switch ($num)
 {
 case 1:
 echo "Time is money";
 break;
 case 2:
 echo "An apple a day keeps the doctor away";
 break;
 case 3:
 echo "Elmo loves dorthy";
 break;
 case 4:
 echo "Off to see the wizard";
 break;
 case 5:
 echo "Tomorrow is another day";
 break;
 case 6:
 echo "PHP is cool!";
 }
 ?>

But it always changes on refresh. I want it to NOT change on refresh. Is this possible?

I found one solution, by adding
srand(floor(time() / (60*60*24)));
before the rand it stays the same for 24 hours for example (and I guess I can set it to a super high time to avoid repeating).

HOWEVER, if put in the sidebar or header it outputs the same result for ALL pages. Is there any way I can put it in the header and have it show a different result for EACH page? I suspect I will need to use wordpress code for it (adding it into the loop).

How about generating the random string and saving it in a cookie?

The goal is that every user who sees Page A sees one quote,
And every user who sees Page B sees a different quote.

Thus randomized, but not changing (neither on refresh or per user).
Any ideas?

Here’s a simple solution based on the page URL + parameters:

<?php

// First convert the request URI to a hexadecimal number, via the md5 hash
$num = md5($_SERVER['REQUEST_URI']);

// Next, shorten it so the number isn't too big, and convert it to decimal
$num = hexdec(substr($num, 27));  // this gives us a number between 0 and 65,535

// Now, convert it to a range between 0 and 5 by taking the modulus
$num = $num % 6;

// Add one...
$num++;

// And use the same switch statement we used before to achieve our desired result...
switch ($num) {
  case 1:
    echo "Time is money";
    break;
  case 2:
    echo "An apple a day keeps the doctor away";
    break;
  case 3:
    echo "Elmo loves dorthy";
    break;
  case 4:
    echo "Off to see the wizard";
    break;
  case 5:
    echo "Tomorrow is another day";
    break;
  case 6:
    echo "PHP is cool!";
}
?>

This will be different from page to page, but stay the same on the same page.