The definition of UNIX timestamp is time zone independent. The UNIX timestamp is the number of seconds (or milliseconds) elapsed since an absolute point in time, midnight of Jan 1 1970 in UTC time. (UTC is Greenwich Mean Time without Daylight Savings time adjustments.)
Regardless of your time zone, the UNIX timestamp represents a moment that is the same everywhere. Of course you can convert back and forth to a local time zone representation (time 1397484936 is such-and-such local time in New York, or some other local time in Djakarta) if you want.
The article at http://en.wikipedia.org/wiki/Unix_time is pretty impressive if you’d like a longer read.