A blockchain environment may accumulate Merkle values calculated by individual nodal machines. Any nodal machine (such as a miner system) need only be sent Merkle child values as inputs. The nodal machine may then determine a hierarchical Merkle value based only on the Merkle child values provided as the inputs. Because the nodal machine only requires the Merkle child values, the nodal machine is relieved from downloading/storing an entire blockchain. The nodal machine need only download the piece, segment, or portion of interest, which consumes far less memory byte space and requires far less processor time/tasks/cycles/operations. Moreover, because each nodal machine only needs to download a small block/byte portion of the blockchain, network packet traffic is greatly reduced.