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Take a low voltage filament lamp and break the glass bulb.
Mount it in a bell-jar, mason-jar or some such with an adjacent anode;
the three electrodes are led through the lid along with an airline.
For a modest pressure reduction provided by a salvaged compressor
from a domestic fridge (or perhaps you have access to lab vacuum?)
measure the anode current in the microamp range with the filament
glowing faint-red, the anode held at say nine volts and the
vacuum varied.
I fancy one will need to consider factors other than cosmic rays.
Ah, but I hear you say, this is 'thermionic' emission.
Might you then replace the filament with a sharp point?