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        "unrefereed candidate"
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    {
      "id": "release:irreducible-pushforwards-quartic-transitions",
      "type": "release",
      "label": "Irreducible pushforwards and quartic transitions",
      "fullTitle": "Irreducible Pushforwards and Constrained Quartic Transitions: Two Reusable Methods from a Study of Furter's R(3) Conjecture",
      "description": "A stalled attack yields two standalone tools: one turns irreducibility into geometric separation, and the other detects exact rank collapse in a quartic transition; Furter's R(3) remains open.",
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        "deck involution",
        "divisor disjointness",
        "quartic transition",
        "twisted de Rham cohomology",
        "polynomial automorphisms",
        "computer-assisted mathematics",
        "Furter R(3)",
        "unrefereed preprint",
        "reproducible research"
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        "https://evidencepress.org/releases/irreducible-pushforwards-quartic-transitions/paper.json"
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    {
      "id": "release:random-reshuffling-baseline-policy",
      "type": "release",
      "label": "Random reshuffling as a baseline policy",
      "fullTitle": "Random Reshuffling as a Baseline Policy: Exact Value Certificates and Common-Hessian Ordering Hardness",
      "description": "In an exact quadratic model of learning, some fair choices inside ordinary data shuffling admit a same-baseline value certificate; popular ordering proxies can fail without bound, while global threshold ordering is NP-complete when the stable step is instance-encoded and approaches 2.",
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      "datePublished": "2026-08-02",
      "dateModified": "2026-08-02",
      "status": "unrefereed-candidate",
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        "random reshuffling",
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        "common-Hessian quadratics",
        "permutation optimization",
        "value-aware ordering",
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        "NP-completeness",
        "Lean 4",
        "formal verification",
        "reproducible research",
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      "id": "release:reducible-incidence-divisors",
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      "label": "Reducible incidence divisors",
      "fullTitle": "Reducible incidence divisors and the isolation of affine slices in binary-form factorisation spaces",
      "description": "A classification of exactly when a natural family of divisors breaks into pieces — and a screening theorem that isolates the single affine-space slice now understood to underlie the 2026 Jacobian counterexample, while showing why every higher-degree analogue is obstructed.",
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      "datePublished": "2026-07-28",
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        "algebraic geometry",
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        "rational normal curve",
        "tangent developable",
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        "Hodge–Deligne polynomial",
        "Jacobian conjecture",
        "affine slices",
        "computer-assisted mathematics"
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        "https://evidencepress.org/releases/reducible-incidence-divisors/paper.json"
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      "id": "release:sfs-identifiability-audit",
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      "label": "What the site-frequency spectrum can and cannot say",
      "fullTitle": "The SFS Identifiability Audit: What a Finite Site-Frequency Spectrum Can Identify About Population-Size History",
      "description": "A finite site-frequency spectrum supplies only finitely many blurred averages of population history. This unrefereed candidate proves the corresponding identification boundary and reports a separate, setting-conditional audit of the disputed 900,000-year-old human bottleneck; it does not establish a model-free verdict on the event.",
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      "datePublished": "2026-08-11",
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      "status": "unrefereed-candidate",
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        "site frequency spectrum",
        "identifiability",
        "coalescent theory",
        "partial identification",
        "resolution kernels",
        "certified bounds",
        "preregistration",
        "human bottleneck",
        "population genetics",
        "linear programming",
        "dual certificates",
        "reproducible research",
        "unrefereed candidate"
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      "id": "release:smooth-point-certificates-polydegree-containments",
      "type": "release",
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      "fullTitle": "Smooth-Point Certificates for Polydegree Containments: A Jacobian Interpretation of the Lewis-Perry-Straub Determinant",
      "description": "The Lewis-Perry-Straub auxiliary determinant is a Jacobian: an exact Euler syzygy turns its specialisation test into a smooth-point criterion and yields a smaller Hensel certificate, while the uniform e=3 affine theorem remains open.",
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      "datePublished": "2026-08-09",
      "dateModified": "2026-08-09",
      "status": "unrefereed-candidate",
      "doi": "10.5281/zenodo.21864574",
      "keywords": [
        "plane polynomial automorphisms",
        "Polydegree Conjecture",
        "Jacobian criterion",
        "multivariate Hensel lifting",
        "weighted homogeneous polynomials",
        "complete intersections",
        "computer-assisted mathematics",
        "reproducible research",
        "unrefereed candidate"
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        "https://evidencepress.org/releases/smooth-point-certificates-polydegree-containments/paper.json"
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    {
      "id": "release:stocks-are-not-flows",
      "type": "release",
      "label": "Stocks are not flows",
      "fullTitle": "Stocks Are Not Flows: An Identification Audit of Investor Pressure and Tenure Change in England",
      "description": "England's tenure shift is real; the aggregate housing data do not reveal how much, if any, was caused by rising resources at the top.",
      "statementFingerprint": "sha256:3745a5d238692b41190219c958d6549ca28e53aad6d5efb8f01aeab9d6e0d914",
      "url": "https://evidencepress.org/releases/stocks-are-not-flows/",
      "datePublished": "2026-08-01",
      "dateModified": "2026-08-01",
      "status": "unrefereed-preprint",
      "doi": "10.5281/zenodo.21740339",
      "keywords": [
        "housing tenure",
        "private renting",
        "homeownership",
        "wealth inequality",
        "housing investors",
        "structural identification",
        "partial identification",
        "English Housing Survey",
        "reproducible research",
        "public discussion preprint"
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      "id": "release:txgraffiti-c3-resolution",
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      "label": "TxGraffiti Conjecture 15/3 resolution",
      "fullTitle": "TxGraffiti Conjecture 15/3 resolution: a certificate-backed candidate counterexample",
      "description": "A connected cubic graph on 50 vertices has minimum maximal matching number 15 but independent domination number 16, giving a bounded candidate counterexample to the stated regular-graph inequality.",
      "statementFingerprint": "sha256:cc418524f2e70368d4dc8a2a332e96ce805423a8d4ec59393406816c96f3d8d4",
      "url": "https://evidencepress.org/releases/txgraffiti-c3-resolution/",
      "datePublished": "2026-08-08",
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      "keywords": [
        "graph theory",
        "cubic graphs",
        "independent domination",
        "maximal matching",
        "TxGraffiti Conjecture",
        "certificate-backed mathematics",
        "proof-tree certificate",
        "reproducible research",
        "AI-generated mathematics",
        "unrefereed candidate"
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        "https://evidencepress.org/releases/txgraffiti-c3-resolution/paper.json"
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      "type": "release",
      "label": "When a unique answer is not an identified answer",
      "fullTitle": "When a Unique Answer Is Not an Identified Answer",
      "description": "Across APC models, epidemic observation processes, sign-restricted SVARs and aerosol–climate inference, a unique fitted answer can come from a selector rather than from the observations.",
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      "url": "https://evidencepress.org/releases/unique-answer-not-identified/",
      "datePublished": "2026-08-11",
      "dateModified": "2026-08-11",
      "status": "unrefereed-candidate",
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      "keywords": [
        "identification",
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        "inverse problems",
        "partial identification",
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        "priors",
        "calibration",
        "age-period-cohort models",
        "epidemic ascertainment",
        "sign-restricted SVARs",
        "climate sensitivity",
        "unrefereed candidate"
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      "id": "release:vr2-k4-equals-20",
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      "label": "VR2(K4) = 20",
      "fullTitle": "VR2(K4) = 20: twenty vertices force two vertex-disjoint monochromatic K4s",
      "description": "Colour every edge among 20 points red or blue and you cannot avoid two completely separate single-colour foursomes — while a carefully built 19-point colouring can. A companion result to z(20) = 6.",
      "statementFingerprint": "sha256:accc3eb504617737229e63d7da18cb7fdc320b8991f5eb88c70eb9845498d3bc",
      "url": "https://evidencepress.org/releases/vr2-k4-equals-20/",
      "datePublished": "2026-07-28",
      "dateModified": "2026-07-28",
      "status": "unrefereed-candidate",
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        "Ramsey theory",
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        "SAT certificates",
        "LRAT",
        "cake_lpr",
        "computer-assisted proof",
        "AI-generated mathematics"
      ],
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        "https://evidencepress.org/releases/vr2-k4-equals-20/paper.json"
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      "id": "release:wales-20mph-casualty-attribution",
      "type": "release",
      "label": "Wales 20 mph casualty attribution",
      "fullTitle": "Wales 20 mph Casualty Attribution Audit: A Constructive Non-Identification Result",
      "description": "The first-year casualty decline is descriptively reproducible, but the frozen aggregate evidence identifies neither the point value nor the sign of the policy effect on affected roads.",
      "statementFingerprint": "sha256:17fd521120f526d22408d476bc8677cfbe3bd647c8bbaf14f1265272857e64e8",
      "url": "https://evidencepress.org/releases/wales-20mph-casualty-attribution/",
      "datePublished": "2026-08-11",
      "dateModified": "2026-08-11",
      "status": "unrefereed-candidate",
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      "keywords": [
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        "causal inference",
        "non-identification",
        "constructive counterexample",
        "treatment misclassification",
        "official statistics",
        "reproducible policy analysis"
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      "sourceRefs": [
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      "label": "z(20) = 6 (Erdős problem 758)",
      "fullTitle": "z(20) = 6: resolving the first open case of Erdős problem 758",
      "description": "Every graph on 20 vertices can be split into six parts, each a clique or an independent set — and 6 is best possible. A computer-assisted proof, released with its full certificate chain, settles the first open case of an Erdős–Gimbel problem.",
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      "datePublished": "2026-07-28",
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      "status": "unrefereed-candidate",
      "doi": "10.5281/zenodo.21647645",
      "keywords": [
        "cochromatic number",
        "Erdős problem 758",
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        "R(4,4)",
        "Paley graph",
        "SAT certificates",
        "DRUP",
        "LRAT",
        "cake_lpr",
        "computer-assisted proof",
        "AI-generated mathematics"
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      "description": "The all-degree conclusion depends jointly on the stated Jacobian smooth-point reduction, asymptotic Fourier limit, exact eventual envelope and finite Arb bridge. Producer-side replay and reuse of the earlier smooth-point package do not constitute independent theorem reconstruction, specialist review or evidence for the conjectural fixed-e programme.",
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