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We describe the CHIME All-sky Multiday Pulsar Stacking Search (CHAMPSS)project. This novel radio pulsar survey revisits the full Northern Sky daily,offering unprecedented opportunity to detect highly intermittent pulsars, aswell as faint sources via long-term data stacking. CHAMPSS uses the CHIME/FRBdatastream, which consists of 1024 stationary beams streaming intensity data at$0.983$\,ms resolution, 16384 frequency channels across 400--800\,MHz,continuously being searched for single, dispersed bursts/pulses. In CHAMPSS,data from adjacent east-west beams are combined to form a grid of trackingbeams, allowing longer exposures at fixed positions. These tracking beams arededispersed to many trial dispersion measures (DM) to a maximum DM beyond theMilky Way's expected contribution, and Fourier transformed in time to formpower spectra. Repeated observations are searched daily to find intermittentsources, and power spectra of the same sky positions are incoherently stacked,increasing sensitivity to faint persistent sources. The $0.983$\,ms timeresolution limits our sensitivity to millisecond pulsars; we have fullsensitivity to pulsars with $P > 60\,$ms, with sensitivity gradually decreasingfrom $60$ ms to $2$\,ms as higher harmonics are beyond the Nyquist limit. In acommissioning survey, data covering $\sim 1/16$ of the CHIME sky was processedand searched in quasi-realtime over two months, leading to the discovery ofeleven new pulsars, each with $S_{600} > 0.1$\,mJy. When operating at scale,CHAMPSS will stack $>$1\,year of data along each sightline, reaching asensitivity of $\lesssim 30\, \mu$Jy for all sightlines above a declination of$10^{\circ}$, and off of the Galactic plane.

CHIME All-sky Multiday Pulsar Stacking Search (CHAMPSS): System Overview and First Discoveries