Which unique number is generated for an American Express card using a secure cryptographic process?

The unique number generated for an American Express card using a secure cryptographic process is the Card Identification Number. This number, often referred to as the CID or security code, is specifically designed to verify that the cardholder is in possession of the physical card during transactions, especially in online or card-not-present situations.

The Card Identification Number is usually a 4-digit number located on the front of the card. It plays a critical role in enhancing security, as it provides an additional layer beyond the card number itself. By utilizing a secure cryptographic process, this number can be uniquely generated for each card and helps in the prevention of fraud.

In contrast, the other options do not pertain to a unique number generated for card security. The Cardholder Master File is more comprehensive data that includes various details about the cardholder rather than being a unique identifier. The Cardholder Profile encompasses information about the cardholder's account features and spending behaviors, while Cardmember is a general term referring to the individual who holds the card rather than a specific number or identification related to security measures.