Please provide a little more information. At what point exactly in the restore process do you get the error? PC or Mac? iTunes version?
Try deleting the ipsw file (maybe it's a corrupt file?) and then restoring again. iTunes will automatically redownload it after you delete it and then restore to factory settings.
Here's where the file is located.
On Windows:
Documents and Settings\<User>\Application Data\Apple Computer\iTunes\iPhone Software Updates
On Mac:
~/Library/iTunes/iPhone Software Updates
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And all the science, I don't understand. It's just my job 3 nights a week.
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