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SLIVER
/ˈslivər/
a small, thin piece of something cut or split off a larger piece.
I found this sliver of land to hide a cache.
You'll need more than a sliver of hope to find it.
It would be helpful, if when the next time you were offered a piece of cake, you asked for just a sliver.
It brings me great joy to know I brought just a sliver of happiness (or distraught) into your world.
I'd wait till sunrise, you'll need more than a sliver of sunshine to find your way.