Declarations

. The author field is intentionally empty for anonymous review. Citing N. Cheung does not assign authorship of this adaptation. Authorized submission metadata must be supplied for a signed submission.

and novelty. Cheung's X-G/X-G-ST supply the normalized free multiplet and reciprocity diagnostic. X-H-ST supplies the relative classical action and signed-lift convention through the predecessor order. X-F/X-F-ST supply the distinct three-tree comparison. The additional compact third-order vertex, its exact finite-lift residual, and the complete finite-report assembly are the scoped continuation developed here.

status. The construction is a finite-order local variational one on smooth off-shell fields. No resolution acyclicity, physical cohomology theorem, interacting carrier transport, global nonlinear existence, or quantum master operation is asserted.

status. The instruments act on finite supplied encodings. They do not prepare such encodings from unknown continuum fields or provide physical representations of ghosts and antifields. Every unmeasured finite output and untouched reference belongs to the complete comparison.

status. The source manuscripts are identified by manuscript and version. Supplied passages and inspected documentary records are not independent proof certificates. Internal publication dates, DOIs, or catalogue-wide verification are not invented.

. No successful execution, proof-assistant verification, numerical evaluation, symbolic-program execution, repository installation, hardware synthesis, experiment, independent execution, independent referee approval, or journal acceptance is asserted. The mathematical claims are the definitions and written proofs in this file.