The present invention relates to a prosthetic open knit fabric (10) made as a single piece, based on an arrangement consisting of several sets of yarns of a biocompatible polymer material, comprising, continuously in the direction of production of the knit, a central strip (11) and two lateral strips (12), one on each side of the central strip, characterized in that it comprises one or more set(s) of pillar stitch yarns defining a pillar stitch pattern, the said one or more set(s) of pillar stitch yarns extending across the entire width of the central strip (11) and of the lateral strips (12) and together forming a first threading across the width of the central strip and a second threading across the width of the lateral strips, the said first and second threading being different, and at least two partial weft stitching sets. The present invention also relates to a method of producing such a knit fabric and to an implant for supporting prolapses obtained from such a knit fabric.