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TJC-1814: cite Juang's concurrent public counterexample family - #4

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tjc-1814-juang-citation
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TJC-1814: cite Juang's concurrent public counterexample family#4
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tjc-1814-juang-citation

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Release-checklist gate 2 (literature/priority through release date) surfaced concurrent public work: H. Juang's X post (July 22, 2026, 20:02 UTC — 7.7h after Rybin's announcement, before this repo existed) gives a three-parameter integral counterexample family on the same digraph and observes that m/b ≈ √2−1 pushes the ratio toward (4√2+2)/7 — the extremal direction of our Proposition 4.1 under a = b+m. Cross-validated: his (70,29,1) example has the demands and unsplittable optimum 2ab of our Pell member (a,b) = (99,70), with a slightly different split.

This PR adds the scholarly attribution: a "Concurrent public family" paragraph in §4 relating the families and delimiting this paper's contributions (closed-form ratio, exact limit, upper bound ⇒ exact non-attained supremum), a bibliography entry, and acknowledgements/README provenance mentions. Neutral wording — no independence claims asserted in either direction. PDF regenerated on Typst 0.15.1, deterministic; fast suite 17/17.

Review the §4 wording before arXiv/tag — strengthen or soften as you see fit.

🤖 Generated with Claude Code

Priority sweep for release-checklist gate 2 found that H. Juang posted a
three-parameter integral counterexample family on the Rybin digraph in the
public discussion following Rybin's announcement (July 22, 2026, ~7.7h
after the original post), including the observation that parameters near
m/b = sqrt(2)-1 push the ratio toward (4*sqrt(2)+2)/7 - the extremal
direction of Proposition 4.1 under a = b + m. Juang's example (70, 29, 1)
has the demands and unsplittable optimum 2ab of our Pell member
(a, b) = (99, 70) with a slightly different split.

Added: a "Concurrent public family" paragraph in Section 4 relating the
two families and delimiting this paper's contributions (closed-form ratio,
exact limit, and - with Theorem A's upper bound - exactness and
non-attainment of the supremum); a reference entry; acknowledgements and
README provenance mentions. PDF regenerated on Typst 0.15.1
(double-compile deterministic); fast tests green.

Co-Authored-By: Claude Fable 5 <noreply@anthropic.com>
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arcaputo3 merged commit ad94c0e into main Jul 23, 2026
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arcaputo3 deleted the tjc-1814-juang-citation branch July 23, 2026 23:11
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