I'll make a correction. The minimum internal pressure a vessel must withstand for being considered a pressure vessel according to ASME VIII is 10 psig.
Vessels with less than 10 psig are not considered pressure vessels by the Code and don't need to be designed by it. They should be designed according to (and I've used this expression before in this Forum) the Good Engineering Practice.
An example: if a vessel with an internal pressure of, say, 5 psig is calculated by the Code, the wall thickness will be so thin that it'll be unfeasible to build it.
Giovanni S. Crisi
Sao Paulo - Brazil