If you want to measure the unloaded voltage from the pile, the best configuration to do that is called an instrumentation op-amp. Basically, it's 3 op-amps wired as a differential op-amp.
More here: https://www.allaboutcircuits.com/textbook/semiconductors/chpt-8/the-instrumentation-amplifier/
With such a low input voltage, input offset becomes a problem. To address this, there are specialty instrumentation op-amps that have very low input offset, some using a technique called chopper stabilization. Lucky for you, it'sthey're available as a chip, like this one: https://www.analog.com/media/en/technical-documentation/data-sheets/1100fc.pdf
This ADI device has a fixed gain of 10 or 100. With a gain of 100, this should be easy enough to measure with a voltmeter, which will typically have 3 or 4 significant figures.
The AD620 is another choice. More here: https://www.analog.com/media/en/technical-documentation/data-sheets/AD620.pdf
And it looks like you can buy an AD620, mounted on a board and ready to go. Darn cheap, if you believe eBay: https://www.ebay.com/itm/DC-Microvolt-Milivolt-Voltage-Amplifier-Board-AD620-Signal-Module-Adjustable-New-/222923153913