3426 — Theta Has an Odd Coordinate but Not Yet an Odd Dissipation Law
The Clark source already has a genuine linear odd coordinate:
with even and odd under . The oriented Wronskian and Clark cross term are also odd, but they are quadratic diagnostics rather than automatically authorized linear defect-output rows.
The bilateral seam cell and completed tail sum are even. They leave the tail difference unresolved. Rank-one coherency can recover its magnitude while leaving a sign torsor, but raw tail sign preservation is false.
The missing theorem is therefore not existence of odd information. It is the promotion of a signed odd coordinate to a source-derived boundary loss port participating in a passive identity with a uniform odd-character observability margin.
Research packet: research/kitaev/theta-has-an-odd-coordinate-but-not-yet-an-odd-dissipation-law.md
Scope: primitive, square, and archimedean boundary characters remain unresolved, as do the completed return operator and defect identity. No build or checker was run under the operator's research-only instruction.
Durable verification: epistemic graph event ev-000000007333-30e041e4-54cc-4e57-b5a7-76da2df010e2.