On the Reality of the PBR Theorem

Recently, an argument has been presented against the Pusey–Barrett–Rudolph (PBR) theorem [Found Phys 53, 64 (2023)]. This claim has sparked a debate, with some authors defending the PBR theorem [Found Phys 54, 36 (2024)], but the proponent of the claim has insisted on his argument [Found Phys 54, 69 (2024); Found Phys 54, 48 (2024)]. Moreover, the author claimed to have proved that the PBR theorem is incorrect by a generic counterexample [Found Phys 54, 48 (2024)]. In this paper, we contribute to the discussion with some new arguments. We demonstrate that the PBR theorem contains no errors and remains intact.