  Lightweight thermal management is central to the design of the all-silicon
Inner Tracker of the Compressed Baryonic Matter Experiment (CBM) at the
Facility for Antiproton and Ion Research (FAIR). This experiment aims to study
strongly interacting matter at neutron star core densities through fixed-target
Au-Au collisions ($\sqrt{s_{NN}} = 2.9 - 4.9\,$GeV; up to 10$^7$ beam-target
interactions per second; polar angular acceptance of $2.5^{\circ} \leq \Theta
\leq 25^{\circ}$). Studies with thermal demonstrators for both the pixel-based
Micro Vertex Detector and the strip-based Silicon Tracking System have
validated their thermal management strategies, preparing them for series
production now and global commissioning in 2028.
