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a 10 us wide pulse looks like a 115200 baud (8.6 us) start bit to the
serial port. So each pulse becomes one more byte of data to be read
by the program. The downside is that there is effectively 9 bit
frames of dead time (78 us) per pulse but the GM tube has dead time
too so maybe this isn't a problem. This pretend-its-a-start-bit
technique can easily handle continuous or erratic pulse rates of many
thousands per second.
I realize serial ports are out of fashion
but I find them quite simple and versatile. I use them by the
hundreds in my lab.