Hi Philip,
The chemical formual for hydrogen peroxide is H2O2. When you mix it with water, H2O, the chemical reaction forms oxygen. So you get oxygenated water.
Watering cuttings with hydrogen peroxide water (either in the soil or in a jar) really does work. But, I'm not sure if watering seeds with hydrogen peroxide water would have any benefits at all.
I feel a science experiment coming on (yours, not mine
). Try watering some of your seeds with the hydrogen peroxide water and some with plain water. Keep track of what plants are watered with what and tell us the results.