Yes, Bitcoin is indeed based on pure mathematics. The underlying technology that powers Bitcoin, known as blockchain, relies on complex algorithms and cryptographic functions to ensure the security and integrity of the network.

All transactions on the Bitcoin network are verified and recorded in a public ledger, which is maintained and shared by participating nodes all around the world. This ledger is constantly being updated and audited, ensuring that no one can cheat the system and that all transactions are valid.

Moreover, Bitcoin has a finite supply of coins that can ever be created, with a set inflation schedule that is determined by the code itself. This makes Bitcoin a deflationary asset, with limited supply and high demand, making it a store of value and a hedge against inflation.

In short, Bitcoin is a revolutionary system of decentralized trust that utilizes advanced mathematical principles to create a transparent, censorship-resistant, and decentralized financial ecosystem.