The tire () comprises a crown (), two sidewalls (A, B), two beads (A, B), an inner surface () delimiting a toroidal cavity (), and a stiffening structure () comprising a stiffening element () extending continuously into the toroidal cavity () from at least one of the sidewalls (A, B) or one of the beads (A, B) to the crown (). The stiffening element () is anchored in or around: a radially inner reinforcing structure (A, B) arranged in the sidewall (A, B) and/or the bead (A, B), the radially inner reinforcing structure (A, B) being distinct from the circumferential reinforcing element (A, B) situated on the same side of the median plane (M) of the tire () as the sidewall (A, B) and/or the bead (A, B), and a radially outer reinforcing structure (A, B) arranged in the crown ().
