If you're looking for synonyms for the phrase "cold facts", you could consider the following options. "Hard data" is a term that refers to information that is based on specific evidence and reliable sources. "Unbiased information" is another option, suggesting that the facts are presented without any subjective interpretation or bias. "Empirical evidence" is often used to describe scientific data that has been collected through experimentation or observation. "Concrete data" is a term that emphasizes the tangible nature of the facts being presented. "Objective truth" is another option that suggests the information is verifiable and verifiable. Regardless of which synonym you choose, the important thing is to present information that is accurate and well-supported.