ICYDK (From the studies I have read online) Researchers from Monash were the first ones to identify low fodmaps and they continually release research studies in this area.
To answer your question about chickpeas - right now I see 2 different tested versions in the app - one is Canned chickpeas - this says quarter cup (42g) should mostly be fine but half cup (84g) contains moderate amounts of Oligos-GOS (one of the fodmpas).
Green bell peppers - 52g should be ok but 75 to 80g contains high amount of sorbitol.
The app uses a traffic system (red, blue, green lights) to indicate the quantities
[1] https://www.monashfodmap.com/ibs-central/i-have-ibs/get-the-...