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Your homepage implies in its examples that "SHA-512 (256 bit)" is the truncated version of SHA-512, and that's pretty clear in the 0x1320 header, but since there are a few instances (e.g. BouncyCastle's "SHA-512/256" cipher, also BSD tool/sbin/sha512t256) that use a similar name for FIPS 180-4 implementation of SHA-512/t, I would suggest adding a note regarding that (and, maybe, even add that cipher to the multihash cipher table with his own number?).
“Simply truncated” SHA-512 hash, as in your current documentation: 52eb4dd19f1ec522859e12d89706156570f8fbab1824870bc6f8c7d235eef5f4
FIPS 180-4 implementation of SHA-512/t: 006fff7ca0bd5b4a5b01706525ca739e63bf9dbdced6da91911d71b42667ba7f