Epididōmi combines epi (upon/to) + didōmi (to give). It means to give something to someone — to hand over, deliver, or extend. The epi prefix intensifies the directness of the giving. It appears 9 times in the NT, in contexts of physical handing over of food, letters, and documents.
Jesus uses epididōmi in the Sermon on the Mount's Q&A: "Which of you, if his son asks for bread, will give [epidōsei] him a stone?" (Matthew 7:9). The argument moves from lesser to greater: if earthly fathers give good gifts, how much more will the heavenly Father give the Holy Spirit to those who ask. Every act of giving in Scripture points upward to the great Giver. God epididōmi His Son (John 3:16), the Spirit (Acts 8:18), grace (James 4:6), and every good thing. The character of God is fundamentally generous — He is the original Giver.