Question about Equation(4) in Full surround monodepth paper

[Hubert3123]

Dear excellent reasearchers from TRI,
I may have some questions over temporal-spatial transformation in Equation (4). I was wondering if there could be a slight typo in Equation (4)? Should it be written like this ?
Instead of p_j^t in original paper? Another question is that is there any possibility that temporal spatial photometric warpping could be spatial temporal photometric warpping, as in, implementing spatial transformation among cameras and then warpping in temporal sequences.
Thanks so much for reading this.
Sincerely.