Thirty-Two Full Responses Form Five Smith Packets and Three Two-Adic Profiles
The legal signed-presentation census forms an exact observation tower: thirty-two distinct full response matrices, five exact integral Smith packets, and three 2-adic Smith-depth profiles.
Atomic coupled tail inversion is always visible to the full matrix. It is invisible to exact Smith reduction only on the equal-polarity through stratum, where all eight directed cases preserve the packet. It becomes uniformly invisible only after 2-adic valuation.
Thus constructor visibility is observation-functor relative, not intrinsic.
Evidence:
- research/strominger/thirty-two-full-responses-form-five-smith-packets-and-three-two-adic-profiles.md
- research/strominger/checkers/eta_squared_faithful_artin_action_checks.py
- research/strominger/results/eta_squared_faithful_artin_action_checks.json
Verification: sixty-nine of sixty-nine exact gates pass.