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We use the tomographic density of states (TDoS), which is a measure of thedensity of states for a single slice through the band structure of a solid, tostudy the temperature evolution of the superconducting gap in the cuprates. TheTDoS provides unprecedented accuracy in determining both the superconductingpair-forming strength, $\Delta$, and the pair-breaking rate, $\Gamma$. In bothoptimally- and under-doped Bi$_2$Sr$_2$CaCu$_2$O$_{8+\delta}$, we find thenear-nodal $\Delta$ smoothly evolves through the superconducting transitiontemperature - clear evidence for the existence of pre-formed pairs.Additionally, we find the long observed `filling' of the superconducting gap inthe cuprates is due to the strongly temperature dependent $\Gamma$.

Pre-pairing and the "Filling" Gap in the Cuprates From the Tomographic Density of States