A process for making a stiffened and rigid paper includes preparing a pulp slurry consisting essentially of water, a cellulosic pulp, a crosslinker, and a starch, and optionally a binder; draining the liquid from the pulp slurry to form a web; and drying the web. Alternatively, a process for making a stiffened and rigid paper includes the step of adding at least one crosslinker at one or more locations, such as at the wet-end, dry-end, or at both ends of the papermaking process. Suitable crosslinkers include a glyoxal-containing crosslinker, a gluteraldehyde, a polyfunctional aziridine, a zirconium-containing crosslinker, a titanium-containing crosslinker, and an epichlorohydrin, and mixtures thereof. When a binder is employed, it can be added either in the dry or wet form. Provided is a neutral or alkaline process to produce a paper product having the improved mechanical properties of a laminated product in the Z-direction, without a lamination step.