Pygmy sperm whale significant concentration of magnetite crystals, which suggests that "K. breviceps" can navigate by magnetoreception. Studies have also shown that compared to the sperm whale, the pygmy sperm whale brain has significantly fewer neurons, which may be connected to a decreased complexity in social interaction and group-based living. Like all toothed whales, the pygmy sperm whale hunts prey by echolocation. Sound produced for echolocation by many odontocetes come in the form of high frequency clicks. The frequencies it uses are mostly ultrasonic, peaking around 125 kHz. The clicks from their echolocation has been recorded to last an average of 600 microseconds.
Cryptid whale female individual on Orkney, saying its dorsal fins was similar to a "mizzen mast", and the whale, based on Sibbald’s account, was described as "P. tursio". However, naturalist Georges Cuvier disregarded Sibbald’s claim as a bad description of the carcass, as well as dismissing the name "P. tursio". Another alleged sighting was off the Annapolis Basin, Nova Scotia, Canada on September 27, 1946, where the creature was apparently trapped there for 2 days. Its length was estimated to be between . The Alula whale, or the Alula Killer, or "Orcinus mörzer-bruynsus", was discussed and illustrated for the first time, but