The official spelling adopted by White Castle for their gut bombs. See www.whitecastle.com under products. At this time, "slyder" does not appear to be trademarked. Could have more subliminal impact as to what the burger does from a diuretic standpoint, seeing as how the burger is often expelled is unannounced, urgent and "sly".
"I'm hungry. Let's go get some sliders"
"My friend, we are in Ohio. We don't have Krystal here. We have White Castle."
"Je fais des excuses. Let's go get some slyders."