Potentiometers are pretty basic things. About the only thing I can think of that would be specified electrically is value (10k), wattage rating (but I doubt much current is sent through these in this application), linear/logarithmic taper, tolerance (often 5%, or 10%) and maybe the type of contact/track or something (probably doesn’t matter).
Those numbers could be manufactured date or lot codes or similar.
How does the thumb “wheel” attach? Or is it built in? I can’t tell from the single pic.
Other things to consider are the pin spacing and physical dimensions.