Book at: hawaiianair.com
Flights Begin July 9, 2013
HA 807 Honolulu - Taipei Departs at 1:55a.m. and Arrives at 6:15 a.m. Sunday / Tuesday / Thursday
HA 808 Taipei - Honolulu Departs at 8:55 p.m. and Arrives at 1:10 p.m. Monday / Wednesday / Friday
On a similar note it also looks like China Airlines will be bringing back their Honolulu to Taipei service beginning June 2.
CI 001 Honolulu - Taipei Departs at 1:20 a.m. and Arrives at 6:00
CI 002 Taipei - Honolulu Departs at 11:55 p.m. and Arrives at 3:40 p.m.