The National Institute of Standards and Technology explains derived credentials:

“Smart card-based PIV Cards cannot be readily used with most mobile devices, such as smartphones and tablets, but Derived PIV Credentials (DPCs) can be used instead to PIV-enable these devices and provide multi-factor authentication for mobile device users.”

NIST SP 800-157 specifies the use of cryptographic tokens on mobile devices in which DPCs and their corresponding private keys may be used.