That seems to be a much lower power machine than SunnySkyguy visualizes. It has minimal arc generation and the current should be lower than about 3A to keep other components within their ratings. I would guess therefore that the capacitor specification isn't criticaly important.
Certainly do not 'stack' 10V capacitors to achieve a higher voltage rating. If you connect them in series to increase the voltage rating you will face three problems, the overall value will be decreased, the ESR will be increased and the voltage may not be shared equally betwen them.
You can connect 100V capacitors in parallel, this adds their values together and reduces their effective ESR. For that you need say 10 * 10uF/100V or 5* 20uF, some combination of equal values that makes up a total of 100. I would not expect the total capacitance needs to be very accurate, you can probably go quite a bit higher although I wouldn't go too much lower as it will reduce your arc power. Note that the original schematic is 160uF !
Brian.