[{"type":"thinking","thinking":"Line 231 and 584 still say \"mildly enlarged Trudgian shape\" / \"Trudgian-shape\" — these describe the FAlt majorant's shape (F + S_b form). Since the S(T) bound is Rosser's, the phrase \"Trudgian shape\" is now inconsistent. Fix both to neutral wording:\n- Line 231: \"the formal development's mildly enlarged Trudgian shape\" → \"the formal development's mildly enlarged $F + S_b$ shape\".\n- Line 584: \"a mildly enlarged Trudgian-shape function\" → \"a mildly enlarged $F{+}|S|$-shape function\". Hmm — or \"Rosser-shape\"? The shape is F(T) + |S(T)| bound — call it \"the mildly enlarged Riemann--von Mangoldt majorant shape\". Simpler: \"a mildly enlarged $F + S_b$ shape function\". Let me look at both contexts.\n\nLine 231 context (Step 2 display text): \"$F$ is the\nhonest zero-count majorant (the formal\ndevelopment's mildly enlarged Trudgian shape)\" → \"(the formal development's mildly enlarged $F + S_b$ shape)\".\n\nLine 584 (Appendix B): \"The margin\nmajorant in the development is a mildly enlarged Trudgian-shape func-\ntion (a negative-weight term dropped, at a cost of ≈0.9√n in the bound)\" → \"a mildly enlarged $F{+}S_b$-shape function (a negative-weight term dropped...)\".\n\nAlso line 517: the table row for NoLowZeros source still says \"Platt--Trudgian zero-location stage \\cite{platt2021riemann} (see below)\" — but the note below now attributes the location value to Platt 2017. The row's source cell should match: \"Platt \\cite{platt2017isolating} (see below)\". Let me fix that too.\n\nThen recompile.","signature":""},{"type":"text","text":"Two \"Trudgian shape\" phrases and the NoLowZeros table cell need alignment with the corrected provenance."},{"type":"tool_use","id":"Edit_101","name":"Edit","input":{"replace_all":false,"file_path":"D:\\Python\\Quantum\\research\\paper\\paperA.tex","old_string":"nondecreasing in the height, is evaluated at $T_n$. Further, $F$ is the\nhonest zero-count majorant (the formal\ndevelopment's mildly enlarged Trudgian shape), $Z_2(t)$ the explicit","new_string":"nondecreasing in the height, is evaluated at $T_n$. Further, $F$ is the\nhonest zero-count majorant (the formal\ndevelopment's mildly enlarged $F + S_b$ shape), $Z_2(t)$ the explicit"},"extra_content":null},{"type":"tool_use","id":"Edit_102","name":"Edit","input":{"replace_all":false,"file_path":"D:\\Python\\Quantum\\research\\paper\\paperA.tex","old_string":"margin majorant in the development is a mildly enlarged Trudgian-shape func-\ntion (a negative-weight term dropped, at a cost of $\\approx\n0.9\\sqrt n$ in the bound)","new_string":"margin majorant in the development is a mildly enlarged $F{+}S_b$-shape\nfunction (a negative-weight term dropped, at a cost of $\\approx\n0.9\\sqrt n$ in the bound)"},"extra_content":null},{"type":"tool_use","id":"Edit_103","name":"Edit","input":{"replace_all":false,"file_path":"D:\\Python\\Quantum\\research\\paper\\paperA.tex","old_string":"\\texttt{NoLowZeros} & $|\\gamma| \\ge 14$ for every nontrivial zero &\n  Platt--Trudgian zero-location stage \\cite{platt2021riemann}\n  (see below) & computational certificate \\\\","new_string":"\\texttt{NoLowZeros} & $|\\gamma| \\ge 14$ for every nontrivial zero &\n  Platt \\cite{platt2017isolating}; Gram\n  \\cite{gram1903} (see below) & computational certificate \\\\"},"extra_content":null}]