Osteogenesis Imperfecta is when your bones are weaker than some who doesn't have it. but i have 4 which is low (good in my case)
"Read AR 40-501 Standards of Medical Fitness. That is what the military goes by to determine if an applicant is medically eligible for service.
At any rate, use some common sense here. In boot camp, humping miles and miles with a 60+ pound ruck is normal. Falling is normal. You will experience more physical trauma than you've ever known. In a pugil bout, if you are struck hard and you fall, will you get injured? Can your weaker than normal bones handle that? Seems to me like you are not medically fit for service as your weak bones will be a liability. "