This mystery “JST connector” has the 1 mm pitch of the JST SH, but the datasheet says it is too large to be one. As we gain experience with connectors, we’ll make better guesses based on ...

The connectors being used are JST-SH, surface-mount, with 1 mm pitch. Their JST family is SR/SH and the part number for the original JST part is SM04B-SRSS-TB, but you can find cheap third-party ...