Three traits of Puritanism reflected in Hawthorne's novel might include the following:
1. The assumption that politics, government, and law should be heavily influenced by the Protestant religion.
2. The assumption that the private lives of individuals, including and perhaps especially their sexual lives, should be heavily influenced by the Protestant religion.
3. The assumption that one's fate in the hereafter was far more important than any temporal, temporary pleasures in the here and now.