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Fig. D.1

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Pairwise Mahalanobis distances between the 3D velocities of all identified disk streams. The Mahalanobis distance quantifies the separation between two streams in units of standard deviations, accounting for the covariance structure of their velocity distributions. Distances greater than 3 (highlighted in darker shades) indicate statistically significant kinematic differences. Orange squares denote stream pairs that partially overlap in 3D spatial volume. The disk streams Ratzenboeck 1 and Theia 386, despite their spatial and kinematic proximity, show evidence of being distinct structures based on their 3D morphology and orbital histories, as discussed in the text.

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