${\mathrm{CeCd}}_3{\mathrm{As}}_3$ is a rare-earth triangular-lattice antiferromagnet with large interlayer separation. Our field-dependent heat capacity measurements at dilution fridge temperatures allow us to trace the field evolution of the spin-excitation gaps throughout the antiferromagnetic and paramagnetic regions. The distinct gap evolution places strong constraints on the microscopic pseudospin model, which, in return, yields a close quantitative description of the gap behavior. This analysis provides crucial insights into the nature of the magnetic state of ${\mathrm{CeCd}}_3{\mathrm{As}}_3$, with a certainty regarding its stripe order and low-energy model parameters that sets a compelling paradigm for exploring and understanding the rapidly growing family of the rare-earth-based triangular-lattice systems.

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• Antiferromagnetism
• Frustrated magnetism
• Magnetic phase transitions
• Magnons
• Quantum criticality
• Specific heat