According to the whitepaper bitcoin is a digital signature

You must be reading a different one to the rest of us then.

Satoshi created a perfect system for peer to peer payments. Bitcoin is a ledger in a distributed p2p network, bitcoin is the currency of that network.

Please be specific. We agreed what money is. Based on that: 2. Was Bitcoin created and intended to be used as money according to the white paper? 3. Do You believe Bitcoin (not single parts of it) as a whole is money?