{
  "abstract": "The Connes-van Suijlekom truncated Weil quadratic form, indexed by a cutoff $c$ (controlling the primes $p\\leq c$ in the operator), has a ground state whose Fourier-Mellin zeros provably lie on the critical line; whether they converge to the Riemann zeros as $c\\to\\infty$ is open (Connes 2026; Connes-Consani-Moscovici 2025). We present, to our knowledge, the first public implementation of the CvS Galerkin matrix at sixteen cutoffs ($c=13$ through $67$, plus $c=100$). Across $c=13$--$67$ at $N=100$, the first-zero error $|γ_1-γ_1^{\\mathrm{Riemann}}|$ shrinks monotonically from $\\sim 2\\times 10^{-55}$ to $\\sim 1.5\\times 10^{-168}$ (113-OOM across fifteen cutoffs). The smallest-positive even-sector eigenvalue reaches $\\sim 10^{-334}$ at $c=100$, $N=250$ (275-OOM span), whose eigenvector recovers $γ_1,\\ldots,γ_{10}$ to 307-329 matching digits. Under the unitary equivalence with CCM 2025 Lemma 5.1, each $γ_k$ is (modulo a hypothesis-status caveat at $c=100$) an eigenvalue of the CCM rank-one operator $D_{\\log}^{(λ,N)}$. Aitken-$Δ^2$ on the $c=100$ $N$-sweep gives $\\log_{10}|λ_\\infty^{\\mathrm{even}}|\\approx -536.76$ and $-533.70$, approaching the Connes 2026 Section 6.4 heuristic continuum prediction ($\\approx -530.38$) monotonically in $N$. The empirical fit $|\\log_{10}λ_{\\min}|\\approx 13.24\\,c^{0.634}$ on $c\\leq 67$, $N=100$ is a finite-$N$ rate, falsified at $c=100, N=200$ by 49 OOM. At $c=100$ the raw spectrum carries a small block of negative-sign eigenvalues at the finite archimedean cutoff $T=800$; these are an artifact of that cutoff and absent once $T$ is increased, so the smallest-positive even-sector eigenvalue is the genuine smallest one (continuum positivity of $QW_λ$ is RH-equivalent and is not assumed at $λ=\\sqrt{100}$). We make no claim of proof.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": null,
  "author_total": 1,
  "authors": [
    {
      "name": "Akiva Groskin"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/f2f9yz4f88r5z.bib",
  "cited_by": 18,
  "doi": "10.48550/arxiv.2605.20224",
  "fulltext_url": null,
  "id": "f2f9yz4f88r5z",
  "issns": [
    "2331-8422"
  ],
  "landing_url": "https://arxiv.org/abs/2605.20224",
  "language": "en",
  "licence": "CC-BY",
  "licence_label": "CC BY",
  "licence_source": "journal",
  "licence_url": "https://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": null,
  "native_subjects": [
    [
      "openalex",
      "2602|Analytic Number Theory Research"
    ]
  ],
  "openalex": "W7161969020",
  "pdf_url": "https://arxiv.org/pdf/2605.20224",
  "pmcid": null,
  "pmid": null,
  "published": "2026-05-13",
  "publisher": "Cornell University",
  "ris": "https://research.draconitic.com/paper/f2f9yz4f88r5z.ris",
  "sources": [
    {
      "first_seen": "2026-11-04T13:20:59Z",
      "native_id": "W7161969020",
      "source": "openalex",
      "url": "https://arxiv.org/abs/2605.20224"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "openalex:2602|Analytic Number Theory Research",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "High-Precision Approximation of Riemann Zeros via the Truncated Weil Form",
  "title_text": "High-Precision Approximation of Riemann Zeros via the Truncated Weil Form",
  "type": "preprint",
  "updated_at": "2026-11-08T13:20:35Z",
  "url": "https://research.draconitic.com/paper/f2f9yz4f88r5z",
  "venue": "arXiv (Cornell University)",
  "versions": []
}