Answer:
I have one, you have one. If you remove the first letter, a bit remains. If you remove the second, bit still remains. If you remove the third, it still remains.
Reaching stiffly for the sky, I bare my fingers when its cold. In warmth I wear an emerald glove and in between I dress in gold.
A box without hinges, lock or key, yet golden treasure lies within.
What can be swallowed, but can swallow you?
What travels from house to house and is sometimes narrow and sometimes wide but always stays outside?
They are many and one, they wave and they drum, Used to cover a state, they go with you everywhere.