  A Blockchain is a global shared infrastructure where cryptocurrency
transactions among addresses are recorded, validated and made publicly
available in a peer- to-peer network. To date the best known and important
cryptocurrency is the bitcoin. In this paper we focus on this cryptocurrency
and in particular on the modeling of the Bitcoin Blockchain by using the Petri
Nets formalism. The proposed model allows us to quickly collect information
about identities owning Bitcoin addresses and to recover measures and
statistics on the Bitcoin network. By exploiting algebraic formalism, we
reconstructed an Entities network associated to Blockchain transactions
gathering together Bitcoin addresses into the single entity holding permits to
manage Bitcoins held by those addresses. The model allows also to identify a
set of behaviours typical of Bitcoin owners, like that of using an address only
once, and to reconstruct chains for this behaviour together with the rate of
firing. Our model is highly flexible and can easily be adapted to include
different features of the Bitcoin crypto-currency system.
