In a saucepan over medium heat, combine the vinegar, honey, sugar and pumpkin pie spice. Heat until the sugar dissolves, 2 to 3 minutes. You do not want this to get too hot or it will cook the peaches.
Put the ginger in the bottom of a 1-quart mason jar, then fill with the peaches. Pour the liquid over the peaches. Seal with a lid and place in the refrigerator. They will be ready to eat in 1 to 2 weeks and will last in the refrigerator for up to 1 month.