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        "domain": "Combinatorics and discrete mathematics"
      },
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        {
          "citation": "Göttingen digitized Quarterly Journal volume containing Cayley paper",
          "url": "https://gdz.sub.uni-goettingen.de/id/PPN600494829_0023"
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      "statement": "# Cayley: a theorem on trees\n\nGave degree-sensitive enumeration formulas for labelled trees and extended the tree-counting framework in the short 1889 paper now associated with Cayley's formula.\n\n## Scientific scope\n\nThe record is Cayley's sole-author 1889 note. The paper cites earlier work by Borchardt and is not treated as sole origin of every form or proof of the n^(n-2) formula; Prüfer codes and later matrix-tree proofs remain separate.\n\n## Reading status\n\nThis is a source-linked WRS catalogue note. A full explanatory guide and independent scientific reconstruction have not been completed for this entry. Read the identified original work for its complete narrative and arguments.\n\n## People and systems\n\nArthur Cayley\n\nThe named authors contributed to this scoped work; individual effort shares and later applications are not assigned by the byline.\n\n\n\n## Original sources\n\n- [Göttingen digitized Quarterly Journal volume containing Cayley paper](https://gdz.sub.uni-goettingen.de/id/PPN600494829_0023)\n- [Cambridge collected-paper record for A theorem on trees](https://www.cambridge.org/core/books/abs/collected-mathematical-papers/theorem-on-trees/A85B7EF5D7C826983FBB82176DDD3525)\n",
      "summary": "Gave degree-sensitive enumeration formulas for labelled trees and extended the tree-counting framework in the short 1889 paper now associated with Cayley's formula.",
      "title": "Cayley: a theorem on trees"
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    "id": "cayley-theorem-on-trees-1889",
    "entry_id": "cayley-theorem-on-trees-1889",
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    "title": "Cayley: a theorem on trees",
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    "track": "THEORY",
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    "what_changed": "Extended labelled-tree enumeration with degree-sensitive formulas in the 1889 note.",
    "scope": "The record is Cayley's sole-author 1889 note. The paper cites earlier work by Borchardt and is not treated as sole origin of every form or proof of the n^(n-2) formula; Prüfer codes and later matrix-tree proofs remain separate.",
    "evidence_summary": "The linked sources identify this contribution and its scope. WRS has not independently reconstructed the scientific claims. The record is Cayley's sole-author 1889 note. The paper cites earlier work by Borchardt and is not treated as sole origin of every form or proof of the n^(n-2) formula; Prüfer codes and later matrix-tree proofs remain separate.",
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      {
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        "url": "https://gdz.sub.uni-goettingen.de/id/PPN600494829_0023",
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