Put cucumbers into clean stone jar. Dissolve sat in 1 gallon boiling water; pour while very hot over cucumbers. Cover and weigh down, being sure cucumbers are covered. Let stand 8 days. On 9th day, drain and pour 1 gallon boiling water mixed with alum over.
On the 10th day, drain again and add 1 gallon boiling water. On the 11th day, combine vinegar, 6 cups sugar, celery seed and cinnamon sticks; pour boiling hot over drained pickles. For the next 3 days, drain off and reheat the vinegar mixture, add 1 cup sugar each morning. With the 3rd heating, pack into jars that have been sterilized. Pour boiling liquid over pickles and seal at once.