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Nanostructures based on platinum, such as small clusters or STM-tips, oftenexhibit an atomistic structure that relies upon one or very few stronglyunder-coordinated platinum atoms. Here, we analyze a paradigmatic example, anapex atom on a pyramidal platinum cluster employing the density functionaltheory. We show that such a pristine platinum tip exhibits a spin polarizationof the apex atom with a remarkable robustness. Due to a depletion of theprojected density of states at the apex position, the apex-magnetization isefficiently locked to about 0.6$\mu_\text{B}$.

Spin locking at the apex of nano-scale platinum tips