I have both a 4155B and 4156C . There is an Agilent service manual available from Artek Media for the 4155/4156. The official way was to use a performance verification program 'PV4155' - I think it was a HP Basic program on a floppy - but that is not available from Keysight who also no longer offer calibration services for the 4155/6.
If you can get hold of the PV4155 program by twisting your local Keysight reps arm, let us know! Sadly I don't hold out much hope though.
Other than that, you can obviously manually set the 4155/6 to output voltages/currents from the SMUs and measure with a DVM like a 3458A, or measure voltages/currents from an external source. Without knowing the GPIB commands to set the ADC reference though, you can only verify the performance, not change it.