How did Sai Baba demonstrate his connection to Lord Vitthal for his devotees?

Chapter 4 provides several accounts of Sai Baba demonstrating his intrinsic connection to Lord Vitthal. For instance, when he instructed Das Ganu to organize a Name-week, he promised that "the form of Vitthal will appear," linking the vision directly to the devotee's faith and his own power. In another instance, after Kakasaheb Dixit had a meditative vision of Vitthal, Baba knowingly asked him, "Vitthal Patil had come, right?" confirming the divine visitation. This was further proven when a picture seller arrived with an image identical to Dixit's vision. Finally, in the story of Bhagwantrao Kshirsagar, Baba equated Bhagwantrao's failure to offer food to the Vitthal idol with keeping Baba himself hungry, explicitly showing their non-duality.