{
  "abstract": "Trapdoor claw-free functions (TCFs) underpin much of classical-quantum cryptographic interaction, yet every TCF-based protocol states its guarantees relative to an honestly generated key. We give a family-agnostic abstraction of key certification for (noisy) TCF constructions, built on two notions: a certifiable key relation, an NP relation capturing a family's honest keys with witnesses recoverable from the trapdoor; and certified key generation, which emits with each key a certificate of membership satisfying completeness, certificate soundness with extractability, and key privacy. We instantiate certifiable key relations for different constructions, each met generically by a zero-knowledge argument of knowledge for the relation. As our main application, a generic compiler turns any TCF-based proof of quantumness into a zero-knowledge one, with each security property following from its counterpart in the certification scheme. Finally, we delimit the primitive's reach: for protocols resting on injective invariance, an accepting certificate is itself a family distinguisher, leaking exactly the bit such protocols must hide.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.25819",
  "author_total": 2,
  "authors": [
    {
      "name": "Charles Lim"
    },
    {
      "name": "Yao Ma"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/3zb7dfsmpdf7m.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.25819",
  "fulltext_url": null,
  "id": "3zb7dfsmpdf7m",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.25819",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "cs.CR"
    ],
    [
      "arxiv",
      "quant-ph"
    ],
    [
      "openalex",
      "1702|Cryptography and Data Security"
    ]
  ],
  "openalex": "W7214116607",
  "pdf_url": "https://arxiv.org/pdf/2609.25819",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-22",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/3zb7dfsmpdf7m.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:23:39Z",
      "native_id": "2609.25819",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.25819"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:quant-ph",
      "subfield": "quantum"
    }
  ],
  "title": "On the Construction of Trapdoor Claw-Free Functions with Certifiable Key",
  "title_text": "On the Construction of Trapdoor Claw-Free Functions with Certifiable Key",
  "type": "preprint",
  "updated_at": "2026-10-30T12:23:39Z",
  "url": "https://research.draconitic.com/paper/3zb7dfsmpdf7m",
  "venue": "arXiv",
  "versions": []
}