Operation of mathematical constant PI to authenticate website and computer network users

A user-driven computer-implemented user authentication method to provide users of computerized devices with a frequently changing numeric passcode (the method is dynamic) generated via a mathematical operation of the mathematical constant Pi (π), comprising of:

• operating, by a user, a computing device connected to a computer network to log into secured networks and secured websites;
• wherein the user's computer device and the computer servers running the secured websites and the computer servers running the secured networks are also connected such that the user, the said websites and the said networks are in electronic communication with one another;
• installing, by the said user, an application software to the said user computer device, wherein the said software is capable to process the instructions and mathematical calculations to locate segments of Pi which will become the Pi Identification Values (PIVs) to be used to identify the said user;
• storing, by the user on the user-operated computing device, the user Personal Identifiable Information (PII), the mathematical constant Pi, and a set of user-created Pi User Identifiable Parameters (PUIPs) into the memory of the user's computing device;
• wherein the PUIP's are changeable by the user at any time but not by the secured network or the secure website;
• wherein the PUIPs include at least a Pi Range (PR), a Pi Segment Length (PSL), a Pi Starting Segment (PSS), a Pi Change Rate (PCR), a Decimal Repositioning Movement (DRM), and a Current Time (CT);
• uploading from the secured network computer server and/or from the secured website computer server an application software and installing the said application software on the user-operated computing device;
• wherein the application software is designed to perform a mathematical operation of the mathematical constant Pi, wherein the computing device comprises a user display for viewing a screen illustrating the results of the mathematical operation;
• storing, by the user, a user-selected array of digits comprising a segment of Pi to become the user's designated Pi Range into the memory of the user's computing device;
• registering, by the user, via the computer network connection, a set of user Personal Identifiable Information (PII) and a set of user-created Pi User Identifiable Parameters (PUIPs) into the memory of the website or network computer server;
• operating, via the application software on the user-operated computing device, in response to initiating an authentication with the network and/or website, by the user, the said application software, the mathematical operation by utilizing the mathematical constant Pi and the set of user-created PUIPs to select a new segment of Pi each time the user is performing a login process required by a network or website via the user's computing device, wherein the new segment of Pi comprises the user's passcode used to authenticate the user during the user authentication process;
• displaying, in response to operating the application software, on the user-operated computing device, a screen which illustrates the user-selected Pi range (PR), the highlighted Pi segment, and the expiration time of the Pi segment representing the user's passcode;
• transmitting, by the user's computer device to the said website or network, via the network connection, the calculated PIV;
• verifying, by the said website or network computer server, the PIV transmitted by the user's computing device;
• and
• authorizing, the user's computing device to gain access to the website or network if the compared PIVs (passcode values) match, but denying access to the user if they do not match.

A user-driven computer-implemented user authentication method to provide users of computer information systems with an encrypted Signed Token based on a frequently changing numeric passcode data generated via a mathematical operation of the mathematical constant Pi (π) during each user-initiated user authentication process, comprising of:

• uploading, into a user' computing device, into computer networks and into websites, a contactless computer programmable signed token system and a software, to be operated by users of computing devices, computer networks and websites to store and utilize the totality of prior Pi Identification Values (PIVs) historical data to authenticate the said users;
• operating, by a user, a computing device connected to a computer network to login into networks and websites;
• uploading from a network computer server and/or from a website computer server an application software and installing the said application software on the user-operated computing device;
• wherein the application software is designed to perform a mathematical operation of the mathematical constant Pi to locate segments of Pi which will become the Pi Identification Values (PIVs) to be used to identify the said user, wherein the computing device comprises a user display for viewing a screen illustrating the results of the mathematical operation, and wherein the said software is capable to process, within the user's computing device, the instructions to encrypt the Pi Signed Token (PST), record the prior PIVs data into the PST, retrieve the PIVs data from the PST, and transmit the encrypted PST to the said website and network;
• storing, by the user on the user-operated computing device, the user Personal Identifiable Information (PII), and the mathematical constant Pi, and a set of user-created Pi User Identifiable Parameters (PUIPs) into the memory of the user's computing device;
• wherein the PUIP's are changeable by the user at any time but not by the secured network or the secure website;
• wherein the PUIPs include at least a Pi Range (PR), a Pi Segment Length (PSL), a Pi Starting Segment (PSS), a Pi Change Rate (PCR), a Decimal Repositioning Movement (DRM), a Current Time (CT), and the prior Pi ID Values (PIVs) data acquired during each login process performed by the user into the PST;
• storing, a Pi Signed Token (PST) in an encrypted format into the user' computing device, website and computer network;
• registering, by the user, via the computer network connection, a set of user Personal Identifiable Information (PII) and a set of user-created Pi User Identifiable Parameters (PUIPs) into the memory of the website or network computer server;
• operating, by the user, via the user's computing device and the said application software, the mathematical operation of the mathematical constant Pi and the set of user-created PUIPs to acquire a new segment of Pi each time the user is performing a login process required by a network or website;
• transmitting, by the user's computer device to the said website or network, via the network connection, the calculated PIV and Signed Token;
• verifying, by the said website or network computer server, the PIV and Signed Token transmitted by the user's computing device;
• authorizing, the user's computing device to gain access to the website or network;
• requiring, the user' computing device, the computer networks and websites, the user to periodically revalidate the PST through the entering of his/her Personal Identifiable Number (PIN);
• updating, the PST utilizing the latest generated PIV, wherein the said latest generated PIV is added to the prior PIVs data;
• and
• utilizing, a programmed change cryptographic signing scheme for the PST where more than one encryption method is employed at different times.