Note that this is not a Centrify issue but a general DNS question.
To ping by short name, you need to make sure that the AD domain suffix is added to your /etc/resolv.conf using the proper directive (domain or search). Depending on your UNIX/Linux version there are other places to specify this.
http://man7.org/linux/man-pages/man5/resolv.conf.5.html
R.P