The pressure should be sufficient that when sitting on the bike the tyre sidewall deflects around 15% to 20% of it's height.
The pressure needed varies according to tyre width, tyre wall suppleness and wheel load. So with identical tyres the front will always be a good but lower pressure than the rear.
https://www.renehersecycles.com/tire...ure-take-home/
So no hard and fast rules. Except possibly just pumping up to the max pressure on the sidewalk is probably wrong.
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