I am amazed that noone has recommended a diet change.
I realize stinky pits are embarassing and annoying. I used to have them too - no matter what brand of aluminum filled paste I used. When I changed my diet and focused on consuming more raw foods (fruits and veggies) and less meat and dairy...the stench went away.
Now I use Tom's natural deoderant and wash my armpits once in the shower, and occasionally again with anti-bacterial cetaphil bar soap - in any given day.
You are supposed to sweat. That is your body's 2nd fastest toxin eliminating process. When you fill your pores in your armpits with anti-perspirant you are putting more toxins into it. Think of what you are doing to your pores and lymphnodes in your arms and breasts everytime you put that paste on. You are locking bacteria and toxins inside your body. No wonder it stinks. "They" say there is no correlation, but I refuse to beleive that anti-perspirant does not contribute to breast cancer - the proxmity is just too close.
Look at what you are putting into your body - it may make sense that it's putting a stink out.
Also - your sleeves on your shirts and jackets may be part of the problem. They hold bacteria in them and unless they are thoroughly cleaned, will likely carry a stink with them between washings...compounding the issue. If your clothes smell like mildew after washing, you will stink. Your washer should be treated weekly with bleach and wet clothes should never sit in the washer after the cycle ends - promptly move them to the dryer to avoid any sort of mildew growth.
Good luck!