From a Seneca County, New York newspaper in October 1864:
AGAIN PROMOTED. – We are pleased to learn that Ensign John P. Arnett, son of Wm. Arnett, Esq., of this village, has been promoted to be Third Lieutenant in the U.S. Navy.
The John P. Arnett listed as an officer in The Union Navy by Arthur Wyllie (on page 504 at Google Books was discharged on October 20, 1865. He was not mentioned as a Third Lieutenant but as an Acting Ensign from March 22, 1864.