In their paper "Uniformity of rational points", Caporaso, Harris, and Mazur asserted the following:

"The Geometric Lang conjecture has been proved for all surfaces with $c_1^2 > c_2$ ([B]), and has recently been announced for all surfaces ([LM])."

The referece [LM] in that paper (link here: http://www.ams.org/journals/jams/1997-10-01/S0894-0347-97-00195-1/S0894-0347-97-00195-1.pdf) is a preprint by S. Lu and M. Miyaoka, with no title. Their paper was published in 1997, so surely this preprint should be published by now, but I am unable to find it. Does anyone know the actual title of the paper, and perhaps what journal it is published in?

Bounding curves in algebraic surfaces by genus and Chern numbers. Math. Res. Lett. 2 (1995), no. 6, 663-676 (the Caporaso-Harris-Mazur paper was accepted in revised form early 1995). However, Lu and Miyaoka prove only a weak form of the geometric Lang conjecture, namely that there are only finitely manysmoothrational or elliptic curves on a surface of general type. $\endgroup$