Electronic systems of electronic terminals and servers for securing information integrity in the distributed technological environment and methods of using thereof

A computer-implemented method, comprising:

• electronically receiving, at a first time, via a first computer network, by at least one specifically programmed computer processor of a central data management system executing software to perform the method, first terminal data wherein the first terminal data comprises at least one first alphanumerical data sequence, wherein the at least one first alphanumerical data sequence has been generated by at least one first terminal machine and is a result of at least one first one-way hashing algorithm whose at least one first input is at least one first terminal-generated number which has been generated by or has been entered into the at least one first terminal machine;
• electronically generating, by the at least one specifically programmed computer processor of the central data management system, at least one first computer-generated barcode based, at least in part, on the first terminal data;
• automatically validating, in real-time, by the at least one specifically programmed computer processor of the central data management system, the at least one first computer-generated barcode;
• and
• automatically and electronically transmitting, in real-time, by the at least one specifically programmed computer processor of the central data management system, a validation notification to the at least one second terminal machine.