Total Incidents in Unresolved Status at a Given Time

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I am editing this, because I realized I didn't even realize what it was I needed when I asked (head: meet desk)

Essentially what I need is the ability to get a count of all incidents in a particular status at a particular time. We had previously been using a report that uses the stats table but that reports numbers keep changing and so that is not at all helpful. I basically just need to be able to say that on January 5 at 5pm X number of Incidents were unresolved or updated by customer. And I need that to be the same number whether I pull it at 5:01pm on January 5 or on July 8th even if the current status