Wash a small seed tray in soapy water. Rinse it in a mixture of 1 part bleach and 9 parts water. Air dry the tray. Fill the tray with equal parts of peat moss and vermiculite. Plant the seed 1/2 to 1 inch deep to begin the stratification process.
Mist the soil with room temperature water in a spray bottle. Place the tray in a cool, dry area with steady temperatures around 40 degrees Fahrenheit. Keep the seeds cool for at least 45 days. Remove the tray from storage once spring arrives.
Locate the tray in a warm area with indirect light. Do not place in direct sunlight yet, since this will dry the soil out too quickly.
Sprinkle the soil with room-temperature water whenever the soil begins to dry out. Bone-dry soil stops the germination process. Check the moisture content every day. Touch the soil with your fingertips and if the soil sticks, it has enough moisture.
Transplant the seedling into a 2-inch plant pot filled with equal parts peat moss and potting soil once it produces two sets of leaves. When the roots of the new Red Push pistache tree starts creeping out the bottom of the small container, transplant the seedling into a 1-gallon container.