PDSAT is a research project that uses Internet-connected computers to solve hard and practically important problems (discrete functions inversion problems, discrete optimization, bioinformatics, etc) that can be effectively reduced to SAT. Currently in the project problems of inversion of some cryptographic functions used in keystream generators are being solved. All cryptographic algorithms under investigation are publicly available. Corresponding tasks are randomly generated and do not contain any confidential information. We also plan to publish obtained results. In the nearest future we are going to launch an experiment for solving Quadratic Assignment problem (hard optimization problem) within the project.