To wire up the nixie tube to an Arduino you'll need a K155ID1 nixie tube driver. And to top it up, you'll also need a high voltage (170V) DC power supply to supply the firing voltage.
To wire everything up, supply 12V to the power supply and solder a 10K resistor to the anode. Then connect the negative wire to the resistor(anode), and the positive wire to the cathode that corresponds with the number you want to fire up.
Read more detailed docs about wiring to an Arduino over at the K155ID1 nixie tube driver page!