The traveling-time curve of the P-wave ends at an epicentral distance(Δ)of about 100°. At epicentral distances larger than 100°(Δ>100°),P-waves pass through the core-mantle boundary(CMB)and start to be diffracted around the core with speeds of~13.7km/s.The diffracted wave is termed Pdif. Due to the sharp decrease of the P-wave velocity at the core-mantle boundary from 13.7km/ s to~8.0km/s,the short period P-wave is strongly refracted into the core with speeds of~8.0 to 11.2km/s.This refracted wave is termed PKP(PKPab,PKPbc and PKPdf). The Pdif wave was first recognized on seismogram by Denmark seismologist Lehmann in 1936.The traveling-time curve of the Pdif wave was well defined at distances of 105°to 130°by seismologists Jeffres and Bullen in 1940,using the seismic data from 1930to 1940,for earthquakes with depths from 33to 794km.In 1991,the traveling-time curve of the Pdif wave was updated by Kennett[6]for distances of 100°to 144°and depths of 0,100,300,and 600km using seismic data from 1964to 1987. In the China Digital Seismograph Network(CDSN),the Pdif wave of strong earthquakes,whose distances range from about 100.2°to 179.0°,may be observed so that the Pdif phase can be analyzed perfectly.We collected and analyzed 124broad-band seismic recordings at the 11CDSN stations during aperiod of 1990to 2012,from very-far-field events with magnitudes of~6.0 to 8.8 and depths~4 to 631.3km.The kinematic characteristics of the Pdif phase are summarized as the following: (1)There is a good linear relationship between traveling-times and distances,and a systematic bias exists between our results and those of the IASPEI 1991table;for example,the difference reaches 11.2satΔ=100°,and 17.0satΔ=144°. (2)ForΔ>100°,the Pdif arrival time is about 4min and 10.7sto 29.8searlier than the PKP wave,and the time difference between the Pdif and PKP waves with distance could be formulated as:TPKP-Pdif=-2.835Δ+550.7 (h ≤100km) (100.0°to 179.0°). (3)The Pdif wave is about 4min and 5.4sto 6min and 42.0searlier than the PP wave,and the time difference between the Pdif and PP waves with distance could be formulated as:TPP-Pdif=0.014Δ2+5.562Δ-163.7 (h ≤100km) (100.0°to 179.0°). (4)For deep-focus earthquakes,the diffracted depth phases,pPdif and sPdif,may be observed.The time difference between pPdif-Pdif and sPdif-Pdif is similar to pP-P and sP-P. A time table,called the Traveling-time Table of the Pdif Wave at CDSN Stations,is proposed.The relationship between traveling-time and epicenter distance for Pdif is suggested to be:TPdif=4.573Δ+367.4 (h ≤100km ) (100.0°to 179.0°). The time table proposed in this study is a useful complement to the IASPEI1991table,and it could be used as a standard of Pdif wave analysis.It will be very useful for enhancing the earthquake analysis ability and accumulating analysis experience and for understanding physical characteristics of the mantle-core boundary.