I previously had Sublime v2.0.1, which expired. I generally have no issue with betas, so decided to get the beta of version 3.
I run a Debian distro of Linux (Kali). I downloaded the tarball, uncompressed it and when trying to fire it up, simply get a ‘cannot execute binary file’ error. There’s no source for to compile or make, so I’m at a bit of a dead-end. Anybody else gotten this working on a Debian distro? Am I missing some package or something?

peter@kali42:~/Applications/sublime_text_3$ ll
total 11704
-rw-rw-r-- 1 peter peter    2937 Jun 26 21:27 changelog.txt
-rwxrwxr-x 1 peter peter  197816 Jun 26 21:27 crash_reporter
drwxrwxr-x 7 peter peter    4096 Jun 26 21:27 Icon
drwxrwxr-x 2 peter peter    4096 Jun 26 21:27 Packages
-rwxrwxr-x 1 peter peter 4302776 Jun 26 21:27 plugin_host
-rw-rw-r-- 1 peter peter 2582934 Jun 26 21:27 python3.3.zip
-rw-rw-r-- 1 peter peter   18883 Jun 26 21:27 sublime_plugin.py
-rw-rw-r-- 1 peter peter   28839 Jun 26 21:27 sublime.py
-rwxrwxr-x 1 peter peter 4825088 Jun 26 21:27 sublime_text
-rw-rw-r-- 1 peter peter     532 Jun 26 21:27 sublime_text.desktop
peter@kali42:~/Applications/sublime_text_3$ ./sublime_text 
bash: ./sublime_text: cannot execute binary file

What architecture is your system vs. the executable? (32- or 64-bit?)

both 64-bit.

n/m. Good call. Every other VM I run is 64-bit. I answered, then doubled checked and this distro is 32 bit. Downloaded the 32 bit tarball and all works perfectly. Thanks.