$ man -f ctime
asctime, asctime_r, ctime, ctime_r, difftime, gmtime, gmtime_r, 
localtime, localtime_r, mktime, timegm, timelocal (3) - convert 
date and time to ASCII
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This has nothing about creation time in it. Look here and stat(2) for more details about the lack of creation time. There is mtime (modified - file data change), atime (access time), and ctime (changed time - inode data modifcation).