Scientific computation is emerging as absolutely central to the scientific method, but the prevalence of very relaxed practices is leading to a credibility crisis affecting many scientific fields. It is impossible to verify most of the results that computational scientists present at conferences and in papers today. Reproducible computational research, in which all details of computations — code and data — are made conveniently available to others, is necessary for a resolution of this crisis. This requires a multifaceted approach including policy solutions, computational tools for data and code dissemination, curation and archiving, and open licensing frameworks such as the Reproducible Research Standard.