Assuming both checksum file, signature file and iso file is in the same folder - usually your ~/Downloads folder.
The official editions use SHA-256
$ ls -l manjaro-kde*
-rw-r--r-- 1 fh fh 5669099520 11 jun 14:17 manjaro-kde-26.0.4-260327-linux618.iso
-rw-r--r-- 1 fh fh 105 11 jun 14:14 manjaro-kde-26.0.4-260327-linux618.iso.sha256
-rw-r--r-- 1 fh fh 438 11 jun 14:17 manjaro-kde-26.0.4-260327-linux618.iso.sig
To verify the ISO checksum if the filename ends with iso.sha256
$ sha256sum -c manjaro-kde-26.0.4-260327-linux618.iso.sha256
manjaro-kde-26.0.4-260327-linux618.iso: OK
Or in case of a the community cinnamon edition using SHA-512
$ ls -l manjaro-cinnamon*
-rw-r--r-- 1 fh fh 3173707776 23 jun 12:57 manjaro-cinnamon-25.0.3-minimal-250609-linux612.iso
-rw-r--r-- 1 fh fh 182 23 jun 12:57 manjaro-cinnamon-25.0.3-minimal-250609-linux612.iso.sha512
-rw-r--r-- 1 fh fh 438 23 jun 12:57 manjaro-cinnamon-25.0.3-minimal-250609-linux612.iso.sig
$ sha512sum -c manjaro-cinnamon-25.0.3-minimal-250609-linux612.iso.sha512
manjaro-cinnamon-25.0.3-minimal-250609-linux612.iso: OK
See the forum guide on checksum verification at https://forum.manjaro.org/t/howto-write-a-manjaro-iso-to-an-usb-stick-with-dd/1507
You can generate a checksum manually for the ISO and then compare the result to the content of the checksum file.
To generate a SHA-256 checksum for a file
sha256sum <filename>
Example for the KDE iso mentioned above
$ sha256sum manjaro-kde-26.0.4-260327-linux618.iso
9d9e5f6b1558a8850bf19ca21af9c71cf3810c69a77ab860130281d09f6a33b9 manjaro-kde-26.0.4-260327-linux618.iso
$ cat manjaro-kde-26.0.4-260327-linux618.iso.sha256
9d9e5f6b1558a8850bf19ca21af9c71cf3810c69a77ab860130281d09f6a33b9 manjaro-kde-26.0.4-260327-linux618.iso
As you can see the two outputs are identical - as they should be - and the ISO file is assumed to be complete an undamaged.
Official releases and community editions provided on the Manjaro website will be signed using a GPG signature.
For the kde example above
$ gpg --verify manjaro-kde-26.0.4-260327-linux618.iso.sig
gpg: assuming signed data in 'manjaro-kde-26.0.4-260327-linux618.iso'
gpg: Signature made fre 27 mar 2026 23:40:20 CET
gpg: using RSA key 3B794DE6D4320FCE594F4171279E7CF5D8D56EC8
gpg: Good signature from "Manjaro Build Server <build@manjaro.org>" [unknown]
gpg: WARNING: This key is not certified with a trusted signature!
gpg: There is no indication that the signature belongs to the owner.
Primary key fingerprint: 3B79 4DE6 D432 0FCE 594F 4171 279E 7CF5 D8D5 6EC8
And the same for the cinnamon example
$ gpg --verify manjaro-cinnamon-25.0.3-minimal-250609-linux612.iso.sig
gpg: assuming signed data in 'manjaro-cinnamon-25.0.3-minimal-250609-linux612.iso'
gpg: Signature made man 09 jun 2025 08:57:15 CEST
gpg: using RSA key 3B794DE6D4320FCE594F4171279E7CF5D8D56EC8
gpg: Good signature from "Manjaro Build Server <build@manjaro.org>" [unknown]
gpg: WARNING: This key is not certified with a trusted signature!
gpg: There is no indication that the signature belongs to the owner.
Primary key fingerprint: 3B79 4DE6 D432 0FCE 594F 4171 279E 7CF5 D8D5 6EC8
See the forum mini-guide on signature verification at https://forum.manjaro.org/t/root-tip-how-to-forum-mini-guide-to-verify-iso-signature/146680