US Patent 11410167 Efficient transaction reconciliation system

A system includes a first module that asynchronously communicates with a second module. The first module processes a set of digital transactions and transmits instructions for the second module to process the same set of digital transactions. The first module maintains a first aggregated hash value corresponding to the set of digital transactions that have been processed. The first aggregated has value is calculated using a commutative and associative hash function. The second module maintains a second aggregated hash value corresponding to a second set of digital transactions processed by the second module. The first and second aggregated hash values are compared to determine the second module processed the same digital transactions as the first module.