A container includes a vial, cap, and one or more wireless transponders secured to the cap, the vial or a jacket to store and identify samples of biological material at cryogenic temperatures (e.g., vitrified biological samples), for instance held by cryopreservation storage devices. A specimen holder may be extend from the cap. The vial and/or cap includes ports or vents. A carrier includes a box, thermal shunt, thermal insulation to store and identify arrays of containers that hold cryopreservation storage devices with samples of biological material at cryogenic temperatures. Various apparatus include wireless transponders positioned and oriented to enhance range, and allow interrogation while retained in a carrier. Various apparatus can maintain the biological material at or close to cryogenic temperatures for prolonged period of times after being removed from a cryogenic cooler, and can allow wireless inventorying while maintaining the biological samples at suitably cold temperatures.