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Perhaps "a native of the Arabah." Klostermann suggests "a native of Beth-arabah." The Arbathite is Abi-albon (2 Samuel 23:31), also named Abiel (1 Chronicles 11:32), one of David's heroes.
Orr, James, M.A., D.D. General Editor. "Entry for 'ARBATHITE'". "International Standard Bible Encyclopedia". 1915.