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Your web page has a message board with a single introductory message, which includes the phrase:

Offered by popular demand from the shareholders and users.

What is the business end of this? What makes the shareholders think their investment will make money?

The mathematics behind these is pretty solid. If others want more information on this, see for example Ronald Rivest. RFC 1321: The MD5 Message-Digest Algorithm. RSA Data Security Inc., April 1992, or Cryptographic hash functions.

That you post with a bit of F.U.D. (scare tactics in the choice of the words "the Multimillion-Dollar ... Gamble", for instance) and with no history or background of yourself or organization, no business model (though there apparently is one), no references and little to go on except an apparent enticement for something "free" that will be scanning my entire computer raises my guard. I'd recommend others be a bit on guard here, until more is known.

Finally, if other readers of this are interested in backup over the internet, I can recommend SystemSafe, by NetMass. I won't leave a link here - you can find it on Google.com if you search. There are likely other good choices in this product category as well.

Why not just install a mirroring controller ($85) and a second hard drive ($125) and then have 100% backup locally? Ok, if your house burns down, you're SOL. If your tv antenna gets hit by a bolt of lightning, you might be SOL. If you mung up your registry, you'd have to recover the data files once you re-installed the operating system. I just don't see the gain involved in flying my files across the internet when for $200 I have a real-time, identical backup on-site. You can get somebody to do this for you for less than $100 labor and know that even if one of your drives dies, life goes on - go to CompUSA and buy another drive. Off-site backup makes sense for businesses but ask your "friendly" EMC rep how much he wants to do it for you...

I'm not an expert, but it seems there are quite a few good hashing algorithms out there. Cosets of many different nonsystematic error correction codes could be used, for example. It's not even necessary to understand the geometry of finite fields and elliptical curves to design a good hash, as far as I know.