They seem to have developed their own hashing function, of the sponge family, called Curl - and are actually using the Westernelitz (oh jesus spelling, more space-efficient Lamport) signature scheme - it is a method of constructing a digital signature only from hash functions. Cool.
Not to argue semantics but its isn't a chain. It may have blocks (containing one transfer) but it is by no means linear. This lets the tangle achieve verification parallelization. Which is in contrast to blockchain’s strictly sequential, synchronous ledger.