How did Sai Baba demonstrate his oneness with Lord Vitthal to his devotees?

Sai Baba demonstrated his identity with Lord Vitthal through several incidents. As described in Chapter 4, he assured Das Ganu that Vitthal would appear during a Name-week if the devotee had faith. For Kakasaheb Dixit, who had a vision of Vitthal in meditation, Baba confirmed the experience by asking if "Vitthal Patil had come." This was further validated when a picture matching the vision appeared for sale. With Bhagwantrao Kshirsagar, Baba equated the neglect of the family's Vitthal idol with keeping Baba himself hungry. These leelas, mentioned in Chapter 4, consistently reinforced the idea that Baba was a manifestation of Vitthal, appearing right there in Shirdi for his devotees.