I'd like to add a SHA, or some other kind of a hash to a Word (for Windows) document.
Is there a good program / macro that would help me with that? Or some kind of a tutorial somewhere on the net? Google didn't help.
Despite the naysayers, this is actually a reasonable and useful thing to do. In fact, as @nik points out, it is already built in to MS Word; Insert → Signature Line.
However, the MS way requires obtaining a digital certificate from a certification authority. Those things cost money. You can easily create your own hashes without a certificate.
First download a hash generator like HashCalc.
Now a problem with generating hashes of MS Word documents is that Word constantly changes the document data for things like autosave, timestamps, the undo buffer, et al. You have to checksum the readable data, not the Word file. Do this:
One problem with this method is that it only considers the text, not things like graphics or formatting. If you need to hash those you will have to use a digital certificate in Word.
I guess what you want to do is digitally sign the document.
also see, Using an Electronic Signature in Word.
Sorry, but I cannot comment on this site, yet, but I think what you are trying to do has no point, because: they can still change the document, the fact that you can put a hash in your document doesn't change that, and you cannot prove to any court that they didn't print the exact electronic copy that you sent them.
Why don't you send them the hard/paper copy for them to sign, in snailmail? While that may or may not work for you, the hashing won't help...