As reported to the FAA. Reports are unverified, and codes are left as the FAA publishes them.
What was found
CLIMBING OUT OF KIX AT FL340, THE RIGHT ENGINE COMPRESSOR STALLED 3 TIMES, PULLED BACK THE RIGHT THROTTLE JUST A LITTLE AND THE STALLS STOPPED. THE ANTI-ICE WAS OFF, A/T WERE ON. AIRCRAFT CONTINUED TO CLIMB AND THERE WERE NO POWER CHANGES. THERE WERE NO ABNORMAL ENGINE INDICATIONS. CREW PERFORMED AN AIR TURNBACK AND LANDED AT KIX WITH NO FURTHER INCIDENT. REPLACED THE RIGHT ENGINE.