
Whoa! It's a picture of two pieces of thickish plastic, one is like healthplan credit-card detritus and the clear one you can't see is like maybe Schaller straplock vacuum-formed-packaging-type? SAVE SHIM material.... SAVE WEIRD STUFF.... And a couple of sticks of pine lath, notably "Shakti" is a stick with innertube rubber glued to it to sand things my fingertips don't want to and "Shiva" is the stick with a thin mousepad strip glued to it, to translate Baudelaire from the original French with. What a stupid picture! Let's go watch some pornog... wait! A new pix!

You slide the two pieces of plastic up the neck to the nut, then -

you slide the stick (in this case Shiva, doing double-duty) in between the thickish plastic sheets and the strings just magically pop up, off the nut, allowing you to slide the nut out to have your evil way with it.... this sort of thing gets handy when you have to, say, pop the nut out about a MILLION TIMES to get it just right. Working on a nut while it it's in the guitar is asking for trouble. I do it sometimes, but I'm special. Rephrase: Doing MAJOR construction-level work on a nut in a guitar is just dumb-ass. And I never glue my own nuts, they only slide around if you make them too narrow, polish them too smooth with your $79.95 Stew-Mackie Nut Polishing Kit #39975 or clean out the slot too good with your $135.67 Stew-Mackie Nut Slot Cleaner-Outer Kit #99753. I'll glue other people's nuts, hell pay me enough and I'd... well that's for our other forum...
The above idea probably might even work even if you gave your sticks the wrong names.