Preheat the oven at 350 F (180 C).
Cut the pita bread in small triangles. Mix 3 tablespoons of olive oil with the minced garlic. Put the pita bread in a large bowl, pour over the garlic and toss so that all pita triangles are covered with the olive oil.
Place the pita bread in one layer on a large pan that is lined with aluminum foil. Sprinkle with salt and pepper. Bake for about 10 minutes- check at 6 minutes.
Remove and let them cool.
Prepare all the vegetables.
In a large platter, drizzle a bit of olive oil and place the pita chips.
Add large spoonfuls of tirofteri starting in the middle moving outwards.
Sprinkle on top the tomatoes, then the onions, then the capers and olives. Sprinkle with oregano. Top with the hot peppers.
Drizzle with olive oil just before serving.