{
  "abstract": "构造数学认证标准:公理化构造的评价框架。本文公开一套针对\"构造数学\"的认证标准:对满足\"从观察归纳公理集、对象宇宙自构造生长、标准数学可作为其特例导出\"三要素的数学构造,给出可公开审查的成员判据(C1 观察起源/C2 公理化独立性预检/C3 对象自构造分水岭/C4 特例化王冠/C5 自足性分层/C6 机器可检验性硬判据[形式化+零 sorry,kernel 唯一关口,证明作者身份不设限]/C7 溯源对照)与认证流程(三档结论+五情形分流+纠错机制)。含已认证成员目录快照:四层构造数学成员(数/关系/动/几何)与单列表示数学序列,全部经逐条审查且 C6 达硬判据。同时公开构造难度的成分分解(四道串联滤网与 12:0 实测淘汰率——拒绝难度数字的伪精确标定)与抛题三维分级规范(预期投入 D/观察依赖 O/判定方式 J)。本文显式区分本框架的构造数学与 Bishop 传统的 constructive mathematics(1967):两者正交互补——后者约束证明的逻辑方法,本框架评价数学对象的构造方式。修订经 Zenodo 版本链进行。中文主版。 The certification standard of constructive mathematics: an evaluation framework for axiomatic constructions. This document publishes a certification standard for mathematical constructions satisfying three criteria — an axiom set induced from observation, an object universe grown by self-construction, and standard mathematics recoverable as a special case — with publicly reviewable membership criteria (C1 observational origin / C2 axiomatic independence pre-check / C3 self-construction watershed / C4 specialization crown / C5 layered self-containedness / C6 machine checkability as a hard criterion [formalization + zero sorry, kernel as the sole gate, author identity out of scope] / C7 provenance comparison) and the certification process (three-valued conclusions, five-case triage, correction mechanisms). Includes the certified-membership catalog snapshot: four constructive-mathematics members (number / relation / motion / geometry layers) plus a separately listed representation-mathematics series, all reviewed item by item with C6 at the hard-criterion level. Also publishes a component decomposition of construction difficulty (four serial filters, 12:0 measured elimination — refusing pseudo-precise difficulty numbers) and a three-dimensional grading specification for posed problems (D expected investment / O observational dependence / J verification mode). The document states explicitly how this framework's constructive mathematics relates to the constructive mathematics of the Bishop tradition (1967): orthogonally complementary — the latter constrains the logical methods of proof, this framework evaluates how mathematical objects are constructed. Revisions proceed through the Zenodo version chain. English edition. v1.3 (2026-09-21): §4.1.1 non-derivation self-check added — new-member applications must carry negative evidence for E1–E6 (completion/derivation rerouted, no new register row). Form: application-template v0.2.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": null,
  "author_total": 1,
  "authors": [
    {
      "name": "Chao Qin",
      "orcid": "0009-0006-2000-5644"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/axw3rb2k9v5hb.bib",
  "cited_by": 9,
  "doi": "10.5281/zenodo.22790074",
  "fulltext_url": null,
  "id": "axw3rb2k9v5hb",
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  "landing_url": "https://doi.org/10.5281/zenodo.22790074",
  "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",
      "2614|History and Theory of Mathematics"
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  "openalex": "W7213392138",
  "pdf_url": null,
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-16",
  "publisher": "European Organization for Nuclear Research",
  "ris": "https://research.draconitic.com/paper/axw3rb2k9v5hb.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:17:17Z",
      "native_id": "W7213392138",
      "source": "openalex",
      "url": "https://doi.org/10.5281/zenodo.22790074"
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  "subjects": [],
  "title": "构造数学认证标准:公理化构造的评价框架 / Constructive Mathematics: A Certification Standard for Axiomatic Constructions",
  "title_text": "构造数学认证标准:公理化构造的评价框架 / Constructive Mathematics: A Certification Standard for Axiomatic Constructions",
  "type": "peer-reviewed",
  "updated_at": "2026-11-06T13:20:21Z",
  "url": "https://research.draconitic.com/paper/axw3rb2k9v5hb",
  "venue": "Zenodo (CERN European Organization for Nuclear Research)",
  "versions": []
}