Courtesy of Pi as it pertains to Donth Vader v. Anderson:

A party can appeal a state supreme court ruling to the federal Supreme Court under certain limited circumstances. The federal Supreme Court has the power to review state court decisions when there’s a federal question involved, such as a claim based on the U.S. Constitution, federal law, or a treaty.

To appeal a state supreme court ruling to the federal Supreme Court, a party must file a writ of certiorari, which is a request for the court to review the case. The Supreme Court has discretion over which cases it hears, and it only accepts a small percentage of the cases filed each year.

In addition to federal questions, there are a few other circumstances in which the Supreme Court can review a state court decision, such as:

If the case involves diversity of citizenship, meaning the parties are from different states and the amount in controversy exceeds a certain threshold.

If the state court’s decision is in conflict with a decision of a federal court or another state’s supreme court.

If the case involves a significant question of federalism or interstate relations.