{
  "date": "2026-11-06",
  "scope": "Final exposition, internal consistency and layout review of the current 17-page manuscript.",
  "reviewer": "Constructing-assistant self-review; distinct from the earlier independent mathematical audit.",
  "pdf": "output/pdf/shifted-even-beta.pdf",
  "pdf_sha256": "9f2157cc8fd9c910fb47f65d5283f83fcc1a7ce4b012823c4ed3688122dbd1f9",
  "pages": 17,
  "source_files": {
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    "paper/sections/contradiction.tex": "6501c2baf07c9bc6e4353ab79032eaa33d27cc829b1f5838ccad47262b2215a6",
    "paper/sections/decay.tex": "f4cda7cec04dadce442144512b4c0bf1be33bf2aeac158bdc09b558bea8310f7",
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    "paper/sections/gram.tex": "05cbcefbba9d4cb086c60e89fbfe757ec8358320b28c2ae7761a9ff1b6aaa3a8",
    "paper/sections/introduction.tex": "f7a0beaedd045c7ff5f4d59179b0d1b953e51d56adf9ca21f91a895f477f8279",
    "paper/shifted-even-beta.tex": "7ef025accdd9fb8ef7395904551706bbab844ecd54428f71506742327c4977c7"
  },
  "result": "No further substantive exposition changes recommended.",
  "reading_scope": "Complete current PDF, including abstract, introduction, all proof sections, endpoint comparisons, exact-check appendix, audit note and bibliography; checked against the project exposition instructions.",
  "findings": [
    "The abstract states results without detailed argument.",
    "The comparison tables distinguish general endpoints, specific parameter choices and earlier finite bounds.",
    "The construction explains the roles of the zeros, pole spacing and multiplier before its formulas.",
    "The two-form example motivates the seed target and the Gram introduction explains the matrix columns and selection of one common multiplier.",
    "The denominator argument identifies why grouping is needed; the decay and dilation sections explain their role in the contradiction.",
    "The endpoint estimates explain the coefficients 66 and 45 and the linear choice S=m*S_0.",
    "Proof-method citations identify immediate sources and the differentiated extension.",
    "The table heading is already U(approx) in the current source and PDF; the existing edit was preserved."
  ],
  "compilation": {
    "unresolved_references": false,
    "overfull_boxes": false,
    "underfull_warnings": []
  },
  "exact_checks": "Existing checker code and recorded outputs are unchanged; no new mathematical checker run was needed for the table-heading edit.",
  "visual_review": {
    "result": "All 17 pages rendered. The shortened table heading and table layout on page 15 were visually checked. All other pages are pixel-identical to the preceding reviewed rendering.",
    "changed_pages": [
      15
    ],
    "page_15_difference_bounding_box_90dpi": [
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  },
  "manuscript_changes_by_this_review": false
}