Testing the cosmic distance duality relation using model-independent approach

Abstract: In this work, we test the cosmic distance duality relation (CDDR) using the arbitrary redshift pivot Pad\'e-(2,1) expansion methodology developed in arXiv:2509.16196. This approach allows us to constrain cosmographic parameters and test CDDR at a particular redshift. Further, it does not rely on data reconstructions or extrapolations of the cosmographic parameters to higher redshifts. We employ observational data from the Dark Energy Spectroscopic Instrument Baryon Acoustic Oscillation dataset, cosmic chronometers, and Type Ia supernovae from the Pantheon Plus and Dark Energy Survey Year 5 compilations. We find no significant deviations from the standard CDDR relation, with constraints reaching sub-percent precision across most redshifts in the range $0\lesssim z \lesssim 1$.