The supplementary material provides (1) detailed derivations of formulae used in the main text: of the NS-subhalo encounter rate accounting for subhalo non-rigidity, and of the probabilities of observing neutron stars in certain temperature ranges, (2) brief discussion on tidal effects of neutron stars on subhalo accretion, (3) elaboration on the applicability of previous cosmic ray and paleo-detector limits to our scenario of clumped dark matter, (4) additional information on the sensitivities of and target regions for future telescopes.

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