The discussion centers around a dog teeth cleaning solution containing "Oxygene," which is identified as a trade name for stabilized chlorine dioxide, specifically sodium chlorite. Concerns are raised about the safety of using this product in a dog's drinking water, with one contributor sharing their background as a process chemist to emphasize caution. The product's formulation includes various ingredients like deionized water, zinc acetate, and citric acid, but the focus remains on the potential risks of chlorine dioxide. Alternatives for maintaining a dog's dental health are suggested, such as providing hard rubber chew toys and a balanced diet, which can improve dental hygiene and reduce bad breath. The conversation also touches on the relative dangers of fluoride compared to chlorine dioxide, with humor about the focus on breath rather than other odors from dogs.