Byteball is a decentralized system that allows tamper proof storage of arbitrary data, including data that represents transferrable value such as currencies, property titles, debt, shares, etc.
Storage units are linked to each other such that each storage unit includes one or more hashes of earlier storage units, which serves both to confirm earlier units and establish their partial order. The set of links among units forms a DAG (directed acyclic graph).
There is no single central entity that manages or coordinates admission of new units into the database, everyone is allowed to add a new unit provided that he signs it and pays a fee equal to the size of added data in bytes.
The fee is collected by other users who later confirm the newly added unit by including its hash within their own units. As new units are added, each earlier unit receives more and more confirmations by later units that include its hash, directly or indirectly.
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Some general (non-technical) videos in English about Byteball. There is also a wiki interviews...