Should be on the bb or a sticker on one of the tubes(mine is under the top tube) , do you still have the receipt from the bike shop as it should be there too!
Q: Where can I locate the serial number on my bike?A: Almost all of our serial numbers are located on the bottom bracket shell of the frame. Some newer models will have a non-removable sticker on the down tube near the bottom bracket. Specialized serial numbers typically start with “WUD”, “STT” or “STE”.
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Source(s):
http://www.specialized.com/us/en/bc/sbcf…