One of the key mathematical concepts that underpin blockchain functionality is consensus algorithms. These algorithms allow network participants to reach agreement on the state of the blockchain, even if they do not trust each other. One of the most popular consensus algorithms is Proof of Work (PoW).

Proof of Work is a mathematical problem that requires significant computational effort to solve. Miners compete to solve this problem, which allows them to add a new block to the blockchain and receive a cryptocurrency reward. This process ensures the network's security, as attacking the blockchain requires enormous computational resources.