The balloon-borne stratospheric solar observatory SUNRISE III successfully completed 6.5 days of observations in 2024 July. One of its focal-plane instruments, the Sunrise Chromospheric Infrared spectroPolarimeter (SCIP), is a slit-scanning spectropolarimeter that simultaneously measures full Stokes profiles of multiple spectral lines in the 850 nm and 770 nm bands. SCIP obtained an unprecedented data set of a quiet-Sun region near the disk center, covering a 58″ × 58″ field of view. With an integration time of 10 s per slit position, the scan was completed in 107 minutes without interruption, achieving remarkably stable polarimetric precision of 0.03%--0.04% (1σ) of the continuum level. The multiwavelength SCIP observations reveal that the chromospheric line-of-sight (LOS) magnetic field exhibits thread-like elongated structures over the internetwork regions, with no obvious photospheric counterpart directly below. These threads are typically narrower than 1″ and are embedded within the canopy fields extending from the network regions. Their LOS field strengths derived from the weak-field approximation are typically 10--20 G weaker than the surrounding canopy. In particularly clear cases, the magnetic polarity of the threads is opposite to that of the adjacent canopy. These findings suggest that the canopy field is not simply an expanding structure originating from network regions, but instead has a complex three-dimensional configuration containing numerous localized substructures. These observations provide new constraints on the quiet-Sun magnetic topology from the photosphere to the chromosphere.