From the latest firmware's OS:

# ls /sys/bus/i2c/devices/*/eeprom
/sys/bus/i2c/devices/0-0050/eeprom
# eeprom=$(ls /sys/bus/i2c/devices/*/eeprom)
# dd if="$eeprom" bs=1 skip=8 count=2 2>/dev/null | hexdump -e '1/1 "%02x"'
ff*
# tr -d '\0' < /proc/device-tree/model ; echo
Turing Machines Turing Pi 2 BMC

(@j0ju reports that their 2.4.0 board reports

Turing Pi 2 (v2.4)

when running the above command)