How about toilet paper?
Or wet wipes?
Dog tags? Class ring (if USMA graduate)? Or is that going into too much detail?
Polish phrasebook in his pocket? (or maybe some laminated cards with key phrases in Polish)?
I think you are on the right track separating hm from most of his gear. If he's only intending to be away for a few moments he's only going to have the things that absolutely must be on his person at all times (or were on his person immediately before he went into the woods).