Many historians suggest that the name of the tribe probably stems from that of their legendary forefather Kriv, possibly a kniaz or a voivode. According to Max Vasmer, this sobriquet was derived from the Slavic adjective krivoy ("crooked/twisted") due to some possible birth defect. Jan Stankievi? believed it was derived from the adjective "kro?", "kryvi" ("blood"), hence, "kryvi?" would mean "blood relationship".
The Krivichs left many archaeological monuments, such as the remnants of agricultural settlements with traces of ironworks, jeweler's art, blacksmith's work and other handicrafts; long burial mounds of the 6th to 9th centuries with cremated bodies; burial mounds of rich warriors with weapons; sets of distinctive jewelry (bracelet-like temporal rings and glass beads made out of stretched wire). By the end of the first millennium, the Krivichs had already had well-developed farming and cattle-breeding. Having settled around the Trade route from the Varangians to the Greeks, the Krivichs traded with the Varangians. Their chief tribal centres were Gnezdovo, Izborsk, and Polotsk.
The Krivichs as a tribe took part in Oleg's and Igor's military campaigns against the Byzantine Empire. They are also mentioned in De Administrando Imperio as Krivitzoi ().
Modern uses of the name
Today, in Latvian, the word "Krievs" means Russian, and the word "Krievija" - Russia. Through Baltic territories, the word became known in Central Europe. For example, a German chronicler from Duisburg wrote in 1314: "Frater Henricus Marschalcus... venit ad terram Crivitae, et civitatem illam, quae parva Nogardia dicitur cepit". And in a Polish publication "Kazanie na Pogrzeb Maryanny Korsakywnej" (Lublin, 1687. ?. II, 49) the Polotsk saint Paraxedis was called "Regina Krivitae" (the queen of the Kryvians).
"Kryvich" ("") was the name of a magazine that the Belarusian historian Vaclau Lastouski published in Kaunas from 1923 to 1927.