A tire for a vehicle wheel, comprising two sidewalls joined at their radially outer portions by a crown zone, beads, a reinforcement structure extending substantially radially from each of the beads, towards the crown zone, at least one of said beads comprising: a bead seat of inverted type; an anchoring zone for the reinforcement structure in said bead, comprising an arrangement of circumferential cords comprising at least two stacks distributed on either side of the reinforcement structure, said reinforcement structure being arranged so as to obtain a circumferential distribution of the cords on either side of at least one of said stacks. In this manner, a supplementary adjustment means is obtained which makes it possible to produce arrangements in which the aim is as far as possible towards equilibrium or uniformity of the stresses. Numerous benefits obtained in terms of durability and reliability.