| CPC H04L 9/085 (2013.01) [H04L 9/0852 (2013.01); H04L 9/3218 (2013.01); H04L 9/50 (2022.05)] | 20 Claims |

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1. A method for decentralized confirmation of entries in a directed acyclic graph (DAG) for rapidly confirming as authentic ledger entries without centralized arbitration of authenticity, the method comprising:
providing access to at least one user account by applying Shamir Secret Sharing (SSS) to the at least one account, wherein the user account is accessible to a single user and to combined efforts of multiple authorized third-party users appointed by the single user;
cryptographically obfuscating an identity of at least one user account using post-quantum cryptography and transmitting a DAG communication having a quantity of data from the at least one user account to the DAG;
weighting DAG communications via proof-of-work hashing conducted on randomly-selected third-party DAG users;
recording and reconciling DAG communications at nodes that compete to achieve consensus using Secure Asynchronous Byzantine-Resilient Paxos (SABRPaxos) protocol, thereby confirming entries in the DAG; and
incentivizing nodes for quickly recording and reconciling DAG communications by rewarding tokens that are variably determined by calculating the number of communications in a fixed time period and a total number of communications.
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