Evidence and verification declarations

consultation. The Family 069 catalogue and public introduction were consulted for date, normalization, and theorem attribution OpenAI069Catalogue,OpenAI069Introduction. The supplied long dossier gives further source excerpts and comparative manuscript labels Dossier. This is not an exhaustive scan or independent proof audit.

attribution. Cheung manuscripts are cited by their supplied identifiers and versions. Unknown publication metadata are not invented. Their citations are documentary comparisons. The locally used finite channel, access, coverage, statistical, and Ward-defect interfaces have explicit proofs in this manuscript.

-field input. The independent free representation, Wick products, and compatible domains are specified inputs. This paper constructs no new field from the full Family 282 framework and proves no new affiliation theorem for an unspecified reconstructed operator.

execution claim. No successful pdfLaTeX execution, proof-assistant checking, statistical validation run, symbolic-code execution, compiler execution, pulse optimization, calibration, or laboratory implementation is asserted.

of certified. Theorems provide exact mathematical implications and finite-data coverage under explicit contracts. An absent dataset is not replaced by a claimed numerical interval. A certificate for a complete channel is not evidence for a missing geometric bridge.