2. Warranty information about your product
Our records indicate that your product is covered under Apple's Limited Warranty which is estimated to expire on December 14, 2009.
More like 4-6 weeks ago.
Doesn't mean that's the serial # of the unit. The only way to verify it is to start up and view it under About this Mac.
That doesn't necessarily mean it was actually purchased on December 14.
If it was bought through the online store, Apple does record the exact date it was sold in AppleCare. However, if it's shipped to a store to be sold (maybe not the Apple store, see below), Apple will record the date in AppleCare as the date they guess it'll be sold. This is a sliding scale over the lifetime of the line, with new products being a few days after shipping to the store, and older products being up to 2 months from shipping, to give the benefit of the doubt to the customer if they need to file a claim and don't have proof of purchase.
I know this because, years ago, I bought a 1.25GHz G4 Mini "new" from CompUSA for $300. The G4 Mini refresh had already happened, and the old machine had been sitting on a dusty shelf since then, so they discounted it to get rid of it. 11 months later, the motherboard failed. I brought it into an Apple Store, and they told me the warranty was expired. As it turns out, AppleCare had estimated the Mini would have been sold within 2 months, when in reality it was at CompUSA for nearly 4 months. Luckily I still had the receipt, though it took nearly a week to sort the mess out.
(Anyway, I'm wondering if the actual purchase date is updated when you buy at a brick-and-mortar Apple store, since they do scan the serial number in when you buy there. I should plug my iPhone serial in to find out.)
Edit: I just did, and the wording is a bit odd:
Warranty information about your iPhone
Your product is eligible for complimentary phone support which is estimated to expire on April 17, 2010.
That's it. It doesn't mention anything about the actual warranty, just when phone support ends. And that's on a launch-day iPhone 3G (July 11, 2008). Weird.