{
  "vercy": "1.0-draft",
  "publication": {
    "status": "research-draft",
    "adjudicationStatus": "unreviewed",
    "publishableCanonical": false,
    "generatedAt": "2026-09-12T04:14:57Z",
    "providers": [
      "Claude"
    ],
    "breadth": "written by Claude from model knowledge without web access - no source was read, every claim is a lead to verify",
    "pass": 2,
    "wave": 2,
    "engine": "claude",
    "enrichment": {
      "pass": 3,
      "engine": "claude",
      "producedAt": "2026-10-05T23:50:00Z",
      "ingestedAt": "2026-10-05T20:55:44+00:00",
      "fields": [
        "agent_conduct",
        "ethics",
        "owners"
      ]
    },
    "gate": {
      "passed": true,
      "version": "1.0",
      "at": "2026-10-07T12:16:27+00:00",
      "evidence": [
        "completeness 1.00",
        "sense: WordNet gloss",
        "2 live sources",
        "review by codex: pass"
      ]
    }
  },
  "metaModel": {
    "id": "THING-FACTOR",
    "registryId": "vr.tr.factor",
    "name": "factor",
    "version": "0.2.0-wave.2",
    "entryKind": "thing",
    "family": "Thing Registry",
    "domain": [
      "XCT.QTY"
    ],
    "status": "research-draft"
  },
  "canonicalUrl": "https://ver.cy/models/thing/factor/",
  "model": {
    "registry_id": "vr.tr.factor",
    "name": "factor",
    "purpose": "Let an agent explain factors in arithmetic and algebra, support factoring numbers and expressions, describe conversion factors, proportionality constants and deflators, and separate this sense from causal and business senses of factor.",
    "definition": "Any of the numbers or symbols that form a product when multiplied together, as the factors of a number in arithmetic, the factors of a polynomial in algebra, and constants of proportionality or conversion factors that relate quantities, including deflators used to convert nominal to real values in economics; factoring decomposes expressions into simpler multiplicands and underlies number theory, algebra, unit conversion and index calculations.",
    "what_it_is_for": "Multiplicands forming a product.",
    "affordances": [
      "explain factors",
      "support factoring",
      "describe conversion factors and deflators",
      "separate other senses"
    ],
    "distinguishing_features": [
      "Multiplicative role",
      "Decomposition",
      "Proportionality constants",
      "Cross-field"
    ],
    "appearance": "Not physical; numbers and symbols in products.",
    "visual_identification": [
      "Number or symbol multiplied to form a product",
      "Arithmetic, algebra, conversion",
      "A causal factor is an influence; a factor in business is a financing agent"
    ],
    "physical_properties": [],
    "families_and_kinds": [
      "integer factors and prime factorisation",
      "polynomial factors",
      "conversion factors",
      "constants of proportionality",
      "deflators and index factors"
    ],
    "related_models": [
      {
        "relation": "is a kind of",
        "target": "mathematical object",
        "why": "category"
      },
      {
        "relation": "is related to",
        "target": "proportion",
        "why": "constants of proportionality"
      },
      {
        "relation": "is related to",
        "target": "real",
        "why": "numbers factored"
      },
      {
        "relation": "is related to",
        "target": "budget",
        "why": "deflators in financial calculations"
      }
    ],
    "identifiers": [],
    "standards_and_regulation": [
      "Mathematical conventions",
      "Statistical standards for deflators",
      "No regulation"
    ],
    "failure_modes_and_hazards": [
      "Confusing senses of factor",
      "Factoring errors",
      "Misapplied conversion factors"
    ],
    "in_scope": [],
    "out_of_scope": [],
    "characteristics": [],
    "agent_conduct": {
      "may": [
        "Find factors of numbers and polynomials and state the method used.",
        "Apply conversion factors and deflators with their source and base year.",
        "Show working so results can be checked."
      ],
      "must_not": [
        "Apply a conversion factor or deflator without stating its source and date.",
        "Present nominal values as real values or the reverse.",
        "Use the wrong unit conversion factor in a medical or engineering calculation.",
        "Claim to factor numbers in a way that breaks security without authorization."
      ],
      "requires_human": [
        "Using conversion factors in dosing, structural or financial decisions."
      ]
    },
    "ethics": {
      "considerations": [
        "Wrong conversion factors have caused medical errors and engineering failures.",
        "Deflators shape how wages and living standards are judged."
      ],
      "affected_parties": [
        "Students",
        "Patients and engineers",
        "Users of statistics"
      ]
    },
    "owners": {
      "steward": "Nobody: a mathematical idea held in common; statistical agencies publish official deflators.",
      "master_systems": []
    }
  },
  "sources": [
    {
      "id": "oewn",
      "title": "Open English WordNet 2024, synset oewn-13614422-n",
      "url": "https://en-word.net/id/oewn-13614422-n",
      "what_it_supports": "sense and gloss of the concept",
      "url_status": "live",
      "checked_by": "http 200"
    },
    {
      "id": "wiktionary-en",
      "title": "Wiktionary: factor",
      "url": "https://en.wiktionary.org/wiki/factor",
      "what_it_supports": "word senses and usage",
      "url_status": "live",
      "checked_by": "http 200"
    }
  ],
  "structure": {
    "bundles": [
      {
        "id": "understand",
        "name": "Understand",
        "description": "What factors are.",
        "rationale": "Mathematics.",
        "layers": [
          {
            "id": "concept",
            "name": "Concept",
            "description": "Concept.",
            "findings": [
              {
                "id": "concept-finding",
                "name": "Concept",
                "description": "Concept.",
                "questions": [
                  {
                    "text": "What is a factor in arithmetic and algebra, and how does factoring decompose numbers and expressions?",
                    "kind": "definition"
                  },
                  {
                    "text": "Is the mathematical sense or another sense of factor meant?",
                    "kind": "boundary"
                  }
                ]
              }
            ]
          },
          {
            "id": "primes",
            "name": "Primes",
            "description": "Prime factorisation.",
            "findings": [
              {
                "id": "primes-finding",
                "name": "Primes",
                "description": "Primes.",
                "questions": [
                  {
                    "text": "How are integers factored into primes, and why is factorisation unique?",
                    "kind": "definition"
                  },
                  {
                    "text": "Which entry fits prime numbers?",
                    "kind": "action"
                  }
                ]
              }
            ]
          }
        ]
      },
      {
        "id": "compute",
        "name": "Compute",
        "description": "Factoring.",
        "rationale": "Practice.",
        "layers": [
          {
            "id": "factor",
            "name": "Factor",
            "description": "Factoring numbers and expressions.",
            "findings": [
              {
                "id": "factor-finding",
                "name": "Factor",
                "description": "Factoring.",
                "questions": [
                  {
                    "text": "What are the factors of this number or polynomial, and which method applies?",
                    "kind": "action"
                  },
                  {
                    "text": "Which entry fits algebra?",
                    "kind": "action"
                  }
                ]
              }
            ]
          },
          {
            "id": "applications",
            "name": "Applications",
            "description": "Uses of factoring.",
            "findings": [
              {
                "id": "applications-finding",
                "name": "Applications",
                "description": "Applications.",
                "questions": [
                  {
                    "text": "How is factoring used in solving equations, simplifying fractions and cryptography?",
                    "kind": "provenance"
                  },
                  {
                    "text": "Which entry fits cryptography?",
                    "kind": "action"
                  }
                ]
              }
            ]
          }
        ]
      },
      {
        "id": "constants",
        "name": "Constants",
        "description": "Conversion and proportionality.",
        "rationale": "Applied.",
        "layers": [
          {
            "id": "conversion",
            "name": "Conversion",
            "description": "Conversion factors.",
            "findings": [
              {
                "id": "conversion-finding",
                "name": "Conversion",
                "description": "Conversion.",
                "questions": [
                  {
                    "text": "How are conversion factors and constants of proportionality used, and how are unit errors avoided?",
                    "kind": "action"
                  },
                  {
                    "text": "Which entry fits unit conversion?",
                    "kind": "action"
                  }
                ]
              }
            ]
          },
          {
            "id": "deflators",
            "name": "Deflators",
            "description": "Deflators.",
            "findings": [
              {
                "id": "deflators-finding",
                "name": "Deflators",
                "description": "Deflators.",
                "questions": [
                  {
                    "text": "What are deflators, and how do they convert nominal values to real values?",
                    "kind": "definition"
                  },
                  {
                    "text": "Which entry fits price indices?",
                    "kind": "action"
                  }
                ]
              }
            ]
          }
        ]
      },
      {
        "id": "learn",
        "name": "Learn",
        "description": "History and teaching.",
        "rationale": "Education.",
        "layers": [
          {
            "id": "history",
            "name": "History",
            "description": "History.",
            "findings": [
              {
                "id": "history-finding",
                "name": "History",
                "description": "History.",
                "questions": [
                  {
                    "text": "How did the concept of factor and factorisation develop in mathematics?",
                    "kind": "provenance"
                  },
                  {
                    "text": "Which references are standard?",
                    "kind": "provenance"
                  }
                ]
              }
            ]
          },
          {
            "id": "teach",
            "name": "Teach",
            "description": "Teaching.",
            "findings": [
              {
                "id": "teach-finding",
                "name": "Teach",
                "description": "Teaching.",
                "questions": [
                  {
                    "text": "How can factoring be taught in school mathematics?",
                    "kind": "action"
                  },
                  {
                    "text": "Which misconceptions arise?",
                    "kind": "provenance"
                  }
                ]
              }
            ]
          }
        ]
      }
    ]
  },
  "openQuestions": [
    "Should prime factorisation be a separate entry?",
    "How should conversion tables be linked?",
    "How should statistical deflators be linked?"
  ],
  "statistics": {
    "bundles": 4,
    "layers": 8,
    "findings": 8,
    "questions": 16
  }
}