LoZ: Beggar Question

So, I had an argument with a friend today about the character 'Beggar' from the Legend of Zelda series.

Is he wearing a hat, or is this his hair?
http://images.wikia.com/zelda/images/f/fa/Beggar.png

That looks like his hair

Or something.

It's actually clear in game from what I remember.

And still going by that, it's his hair, he does not wear a hat.

Kinda looks like a rather poor design of a headcrab from Half-Life but it's still hair nonetheless.

Just seems very oddly shaped for hair is all.
From some angles it almost looks like a black cap he is wearing, the ends pointed.

I can see the blend into his natural hair but I have also seen drawings of the character with him wearing a black hat.

I'm not entirely sure why I care so much about this.