
Samsung GALAXY Note 3 Neo LTE
The latest firmware for Samsung GALAXY Note 3 Neo LTE (SM-N7508V) is N7508VZMUAOH1 with Android 4.3 (Jelly), released on August 19, 2015 for 1 region (CSC). Every official firmware build for SM-N7508V, newest first: one row per build with all regions (CSC) that received it.
Each firmware build has its own page at https://samfirm.shop/build/{PDA}, where {PDA} is the build number from the list above. Example: https://samfirm.shop/build/N7508VZMUAOH1
All 4 builds in our database run Android 4.3 (Jelly). The newest build, N7508VZMUAOH1, was released on August 19, 2015. No new build has appeared for 136 months, so regular updates for this model have most likely ended.
Specifications of SM-N7505, a regional variant of the same device. Chipset and SIM lines are left out: they can differ by region.

SM-N7509V

SM-N950UZK

SM-N770X

SM-N960W

SM-N930V
The newest firmware for SM-N7508V runs Android 4.3 (Jelly): build N7508VZMUAOH1, released on August 19, 2015.
The latest build for SM-N7508V, N7508VZMUAOH1, was released on August 19, 2015 (11 years ago).
SM-N7508V has had no new firmware for 136 months, so regular updates have most likely ended.
Yes, all firmware files for SM-N7508V are 100% official, original, and obtained directly from Samsung servers.
To flash SM-N7508V, you need to download the appropriate firmware, put your device into Download Mode, and use the Odin tool to load the BL, AP, CP, and CSC files.
Downgrading is only possible if the bootloader version (binary bit) of the old firmware matches the current one. Always check the binary version before flashing SM-N7508V.