Intrinsic topological superconductors have protected gapless Majorana modes, bound and/or propagating, at the natural boundaries of the sample, without requiring field, defect, or heterostructure. We establish the complete classification/construction of intrinsic topological superconductors jointly protected by point-group and time-reversal symmetries in three dimensions. This is obtained from enumerating distinct ways for stacking $n\mathrm{th}$-order irreducible building blocks, minimal anomalous surface states of $n\mathrm{th}$-order topological superconductors. Particularly, our method provides a unified description of possible surface anomalies away from high-symmetry points/lines in terms of the homotopy group of the surface mass field.

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• Domains
• Edge states
• Spin-triplet pairing
• Symmetry protected topological states
• Topological materials
• Topological phases of matter
• Topological superconductors
• Bloch wave theory
• Discrete symmetries in condensed matter
• Gauge symmetries
• Symmetries in condensed matter
• Tight-binding model
• Wannier function methods
• k dot p method