Euler--Theta Overlap Proves Section Rigidity but Not Zero Confinement
The Euler determinant chart and the global theta chart evaluate the same labelled source and agree exactly in . Any second global analytic section claiming the same source provenance must agree there and hence agree everywhere by the identity theorem.
Therefore a hostile divisor-bearing multiplier cannot be a presentation change of the same completed source: exact Euler normalization forces that multiplier to equal one on an open domain.
This closes canonical-section rigidity but not RH. It determines which section belongs to the source without constraining where that section vanishes. The remaining problem is now purely a zero-confinement theorem for the already rigid theta section.
Artifact:
research/grothendieck/euler-theta-overlap-proves-section-rigidity-but-not-zero-confinement.md