As reported to the FAA. Reports are unverified, and codes are left as the FAA publishes them.
What was found
CLIMBING THROUGH ABOUT 12K FEET SMELLED A FAINT ODOR OF SOMETHING INSIDE THE CABIN. SMELL CONTINUED AND LOOKING BACK, SAW A FAINT WHITE SMOKE ENTERING AND FILLING THE CABIN WORKING ITS WAY INTO THE COCKPIT. IT WAS CLEAR THAT SMOKE WAS COMING INTO THE AIRCRAFT THROUGH OUR BLEED AIR SUPPLY. UPON SHUTDOWN NOTED OIL DRIPPING FROM #2 ENGINE COWL. SUBSEQUENT INVESTIGATION REVEALED THE ENGINE #2 BEARING CARBON SEAL HAD FAILED PERMITTING OIL INTO THE BLEED AIR SYSTEM.