To unify time on and out of the Earth, the viewpoint of relative time changes the time metrology standard from a unique standard time to two kinds of time: proper time and coordinate time, in which coordinate time can be traced to benchmark by pulsars. For the aim to build the ephemeris of orbit parameters simply locally, it is pointed out that the relationship of space inclusions is hierarchically nested,and the viewpoints of relative unification of time are formed. It deeply demonstrates the theory of coordinate time rebuilt by pulsars, summarizes the basic characteristics of a wide area coordinate system that unifies time must have, emphasizes the particularity of the original observer, and puts forward the definition method of pulsar′s sequence number and initial epoch based on the original observer, using the view that time and space are indivisible in the relative time view. First of all, to arrange a set of pulsar pulse signal as primary standard of the coordinate time, used to rebuild the coordinate time, convention a set of pulse period of pulsars for fixed constant array, no longer measuring after convention, the constant unit is still the international system of units[ seconds], constant can be understood as the pulse number coordinate time interval and conversion coefficient between[ seconds]. Then, based on the plane electromagnetic wave model, corresponding to the time when the pulse electromagnetic wave of the pulsar passes through the origin and the pulse sequence number one by one, so the coordinate time of original observer and continuous pulse number become linear function relationship. Finally, analyzes the pulsar stability characteristics, and given pulsar set stability criterion by the arguments of a set of sequence number.