There is no such thing as a ''gentle'' slip potting. Slip potting is just as traumatic to a tree as a full blown repotting. Therefore the key issue is TIMING. You really need to pay attention to the ideal windows of time for repotting JWP in your area.
Second - is this a grafted tree or a white pine on its own roots? In PA both Eastern white pine and Japanese white pine are fully winter hardy on their own roots. But if they are grafted onto something else, like the less winter hardy Japanese Black Pine then they will only be as hardy as the root stock. Japanese black pine is only marginally hardy in the northern counties of Pennsylvania and or at elevation in the the hills.
Also - which species of white pine? There are some 20 species of 5 needle pine that all get called ''white pine'' at some time or another.
Most repot EWP and JWP in early spring, as new growth just begins. Some more experienced growers have good success repotting just before the autumnal equinox, last week of August or first 2 weeks of September. With this just before autumn repotting, after care is important. It is not as ''goof proof'' as spring repotting.
Repotting at any other time of year is risky at best. And no matter how gentle you think you are ''slip potting'' breaks the majority of fine root hairs that the tree depends upon to move water and nutrients up into the tree. Out of season repotting can kill or severely weaken a tree.