Top: SPHERE/IRDIS relative astrometry differences (dark blue filled circles with uncertainties) of the offset positions of all point-like sources detected in the close vicinity of HD 95086 (see Fig. 2) between May 5th, 2015, and Feb. 3rd, 2015. The expected variation of offset positions, if the candidates are stationary background objects is shown (solid line with uncertainties). The variation is estimated based on the parallactic and proper motions of the primary star, as well as the initial offset position of the companion candidates from HD 95086. The planet position is indicated with a pink circle. Except for HD 95086 b, all companion candidates are clearly identified as background contaminants. Bottom: same as top panel but between May 31st, 2016, and Feb. 3rd, 2015.