Combine all the ingredients for the sauce together in a bowl and place in the refrigerator until you are ready to use it.
Mix the butter and garlic paste together in a bowl. Spread the garlic butter over each of the rye bread slices. Place the buttered bread (butter side up) on a baking sheet.
On the same sheet, add the pieces of ham and the sauerkraut (two ΒΌ cup sized portions).
Turn on a broiler and place the sheet under there until the bread begins to crisp. Remove it and flip everything on the baking sheet.
Add the a slice of swiss cheese on top of each of the sauerkraut portions. Return to the broiler and cook until the other side of the bread crisps.
To assemble the sandwich, take a piece of bread and have the buttered side facing up. Smear a generous portion of the sauce on the bread. Top with the sauerkraut and cheese. Finally, add ham and enjoy.
