I can't speak specifically to development/programming, but in a more general technical sense I have noticed that I take pride in my own work and knowledge. When that is criticized, I take it personally regardless of how innocuous the comment might be.
Anything negative or critical about it is (to varying degrees) offensive to me. I realize it's stupid and irrational, but it is the gut response I have. My temperance comes from identifying this character flaw within myself.
I think the core problem therein is specifically the word "pride". That is to say, a lack of humility. It is a raising of my own abilities above some set standard. It is to find some "special" value in my own actions and ability. It is a desire to be recognized for my work.
Humility then, is what I need. Humiliation is the means in which I learn humility - to be frustrated and upset with the response from others, but to not respond with those feelings and instead absorb the information as best I can.
To put it clearly: You don't stop being offended by criticism, but learn to process it more productive ways.
You learn to deal with people pointing out your shortcomings by examining the shortcomings that they point out. It then is a matter of realizing that those are shortcomings. After realization, with time, comes acceptance. After acceptance, (hopefully) a motivation to do better. This is a process that in my own experience takes years to accomplish. This isn't to say that, even if you were to do this you would somehow become the most humble person ever, but simply a slightly less prideful one. To work as hard as before, but a slightly softer head.
You will still have many areas you might be extremely touchy about - maybe even retreading old areas you thought you had overcome. (Been there!) I don't think that there is some "magic cure" to this kind of sensation. I simply think that you start to identify the process of dealing with it in a more constructive manner over time. Part of that requires learning more about yourself, and identifying patterns of behavior others bring up.
Arrogance (pride) is an absolutely huge part of my own life. Trying to tame that requires feeling a sense of humiliation on a routine basis. I don't think I'll ever become "numb" to it, but simply be able to process the repercussions more quickly than I had previously.