"...weigh your soap after cutting and then each week. Once it stops losing weight, it's cured...."
"...Have you weighed your soaps from start to finish at regular intervals to see?..."
Sloooowwwww down there, dogies. :razz: Yes, I have weighed a few of my soaps during cure. No, soap doesn't stop losing weight over time, but it will slow down a lot.
If you've ever shrink wrapped your soap or put a cigar band on soap, you know it continues to shrink in size (and weight) indefinitely, albeit much, much more slowly as time goes on. That is telling you that SOMETHING is leaving the soap -- and that can only be water. I'd say the "normal" soaps I've made look like the moisture content stabilizes pretty well 30-40 days after making (see first chart). Some experimental soaps take much longer (second chart shows the same two soaps from the first chart plus two "superlye" soaps made with a lot more water).
How do I know when they're cured? There's no black-and-white answer to that, but honestly the 4 week rule of thumb is pretty good for a normal type of soap. I have also noticed that cured bars of soap have a bouncy resonance when you gently tap a couple of bars together -- it's an odd vibration you can feel with your fingers. And the development of the lather is a good, if rather subjective test -- soaps that don't lather well for the first few weeks will begin to lather much better about 3-5 weeks after they were made. (But sometimes the lather development takes quite a bit longer for some soaps.)
Shrinkage, drying, and curing has nothing to do with excess lye and whether a soap zaps or not. As Carolyn (cmzaha) and others have explained, the lye in a typical soap made with a typical modern-day recipe and modern-day soapmaking method should be chemically reacted into soap within a short time after the soap is made -- hours up to a day in most cases (examples: soap that gels, hot-process soap) and certainly within a few days at most (example: soap put into the freezer to prevent gel).