  We study the Tan's contact of a one dimensional quantum gas of N repulsive
identical bosons confined in a harmonic trap at finite temperature. This
canonical ensemble framework corresponds to the experimental conditions, the
number of particles being fixed for each experimental sequence. We show that,
in the strongly interacting regime, the contact rescaled by the contact at the
Tonks-Girardeau limit is an universal function of two parameters, the rescaled
interaction strength and temperature. This means that all pair and correlation
effects in the Tan's contact are embedded in the Tan's contact in the
Tonks-Girardeau limit.
