It's not an easy job to purchase the Nexus 7 2013 LTE given that you can barely find it anywhere, but if you are among the few lucky owners of the 7-inch Android 4.3-powered tablet you might want to hear that there's a new software update available for your device.
The software update it's still an Android 4.3 version while the build number is labeled JLS36C. It's not uncommon for new products to come with bugs, and the LTE Nexus 7 makes no exception. therefore the JLS36C update for Nexus 7 2013 comes to address issues with the radio and the recovery by changing certain system files.
As usual, the update is rolling out gradually, thus there would be no reason to panic if you didn't receive the software update notification yet. In order to check for the JLS36C update manually, grab your Nexus 7 and head to Settings > About tablet > System Update and tap the Check for updates button.
If for some reason you don't want to wait until the OTA update hits your device, you can find the JLS36C update files on this XDA thread. You might also want to know that the .zip file is sized 15 MB, so you don't have to fear that your data plan will suffer.