Title: Towards Semi-Supervised Learning with Non-Random Missing Labels. Abstract: Semi-supervised learning (SSL) tackles the label missing problem by enabling the effective usage of unlabeled data. While existing SSL methods focus on the traditional setting, a practical and challenging scenario called label Missing Not At Random (MNAR) is usually ignored. In MNAR, the labeled and unlabeled data fall into different class distributions resulting in biased label imputation, which deteriorates the performance of SSL models. In this work, class transition tracking based Pseudo-Rectifying Guidance (PRG) is devised for MNAR. We explore the class-level guidance information obtained by the Markov random walk, which is modeled on a dynamically created graph built over the class tracking matrix. PRG unifies the history information of each class transition caused by the pseudo-rectifying procedure to activate the model's enthusiasm for neglected classes, so as the quality of pseudo-labels on both popular classes and rare classes in MNAR could be improved. We show the superior performance of PRG across a variety of the MNAR scenarios and the conventional SSL setting, outperforming the latest SSL solutions by a large margin. Checkpoints and evaluation code are available at the anonymous link https://anonymous.4open.science/r/PRG4SSL-MNAR-8DE2 while the source code will be available upon paper acceptance.