{
  "vercy": "1.0-draft",
  "publication": {
    "status": "research-draft",
    "adjudicationStatus": "unreviewed",
    "publishableCanonical": false,
    "generatedAt": "2026-09-14T03:25:52Z",
    "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": 4,
    "engine": "claude",
    "enrichment": {
      "pass": 3,
      "engine": "claude",
      "producedAt": "2026-10-06T12:00:00Z",
      "ingestedAt": "2026-10-06T07:46:11+00:00",
      "fields": [
        "agent_conduct",
        "ethics",
        "owners"
      ]
    },
    "gate": {
      "passed": true,
      "version": "1.0",
      "at": "2026-10-06T19:52:00+00:00",
      "evidence": [
        "completeness 1.00",
        "sense: Wikidata description",
        "2 live sources",
        "review by codex: pass"
      ]
    }
  },
  "metaModel": {
    "id": "THING-Q48297",
    "registryId": "vr.tr.parabola",
    "name": "parabola",
    "version": "0.2.0-wave.4",
    "entryKind": "thing",
    "family": "Thing Registry",
    "domain": [
      "XCT.QLT"
    ],
    "status": "research-draft"
  },
  "canonicalUrl": "https://ver.cy/models/thing/q48297/",
  "model": {
    "registry_id": "vr.tr.parabola",
    "name": "parabola",
    "purpose": "Let an agent explain the parabola, relay its definition, properties and applications from mathematics sources, and distinguish it from the other conic sections and from general plane curves.",
    "definition": "A plane curve that is symmetric and U-shaped, defined as the set of points equidistant from a fixed point called the focus and a fixed line called the directrix; it is one of the conic sections, obtained by slicing a cone parallel to its side. The parabola appears in mathematics as the graph of a quadratic function and in physics as the path of a projectile under gravity and the shape of reflector dishes. The registry aliases name special constructions such as the Kiepert and Artzt parabolas from triangle geometry.",
    "what_it_is_for": "Describing a specific symmetric plane curve.",
    "affordances": [
      "explain its definition",
      "relay its properties",
      "relay its applications",
      "distinguish it from other conics"
    ],
    "distinguishing_features": [
      "Single open symmetric curve",
      "Focus and directrix definition",
      "Graph of a quadratic",
      "Reflective property"
    ],
    "appearance": "A smooth symmetric open curve shaped like an arch or the letter U, extending to infinity on both arms.",
    "visual_identification": [
      "U-shaped symmetric open curve",
      "Kiepert parabola, Artzt parabola in triangle geometry",
      "An ellipse is closed; a hyperbola has two branches; a circle is closed and round"
    ],
    "physical_properties": [
      {
        "quantity": "type",
        "typical_range": "conic section",
        "unit": "note",
        "note": ""
      },
      {
        "quantity": "defined by",
        "typical_range": "focus and directrix",
        "unit": "note",
        "note": ""
      },
      {
        "quantity": "registry parents",
        "typical_range": "plane curve, conic section",
        "unit": "note",
        "note": ""
      }
    ],
    "families_and_kinds": [
      "graph of a quadratic",
      "Kiepert parabola",
      "Artzt parabola"
    ],
    "related_models": [
      {
        "relation": "is a kind of",
        "target": "conic section",
        "why": "in registry terms"
      },
      {
        "relation": "is contrasted with",
        "target": "ellipse",
        "why": ""
      },
      {
        "relation": "is contrasted with",
        "target": "hyperbola",
        "why": ""
      },
      {
        "relation": "is a kind of",
        "target": "plane curve",
        "why": ""
      }
    ],
    "identifiers": [],
    "standards_and_regulation": [
      "Mathematical definition"
    ],
    "failure_modes_and_hazards": [
      "Confusing with other conics",
      "Confusing the curve with its equation",
      "Overstating physical idealisation"
    ],
    "in_scope": [],
    "out_of_scope": [],
    "characteristics": [],
    "agent_conduct": {
      "may": [
        "Explain the parabola, its focus and directrix and its equations.",
        "Use parabolic models where they fit, such as projectile paths or reflectors.",
        "Distinguish a parabola from other conic sections."
      ],
      "must_not": [
        "Confuse a parabola with a catenary or other U-shaped curves in engineering.",
        "Present a parabolic model as exact when air resistance or other factors matter.",
        "Confuse the curve with one particular equation for it.",
        "Use a parabolic fit to extrapolate trends in health or economics without stating its limits."
      ],
      "requires_human": [
        "Relying on a parabolic design in a structure or device where failure endangers people."
      ]
    },
    "ethics": {
      "considerations": [
        "Simple curve fits can mislead public decisions when extrapolated.",
        "Students deserve clear, correct explanations."
      ],
      "affected_parties": [
        "Students",
        "Engineers",
        "People affected by modelled decisions"
      ]
    },
    "owners": {
      "steward": "Nobody: a mathematical object held in common.",
      "master_systems": []
    }
  },
  "sources": [
    {
      "id": "wikidata",
      "title": "Wikidata item Q48297: parabola",
      "url": "https://www.wikidata.org/wiki/Q48297",
      "url_status": "live",
      "what_it_supports": "identity and sense of the item",
      "checked_by": "wikidata-api"
    },
    {
      "id": "wikipedia-en",
      "title": "Wikipedia: Parabola",
      "url": "https://en.wikipedia.org/wiki/Parabola",
      "url_status": "live",
      "what_it_supports": "general description of the item",
      "checked_by": "wikidata-api sitelink"
    }
  ],
  "structure": {
    "bundles": [
      {
        "id": "understand",
        "name": "Understand",
        "description": "What a parabola is.",
        "rationale": "Definition.",
        "layers": [
          {
            "id": "definition",
            "name": "Definition",
            "description": "Definition.",
            "findings": [
              {
                "id": "definition-finding",
                "name": "Definition",
                "description": "Definition.",
                "questions": [
                  {
                    "text": "What is a parabola, and how does it differ from an ellipse, hyperbola and circle?",
                    "kind": "definition"
                  },
                  {
                    "text": "Is the question about a special construction such as the Kiepert parabola?",
                    "kind": "boundary"
                  }
                ]
              }
            ]
          },
          {
            "id": "focus",
            "name": "Focus",
            "description": "Focus and directrix.",
            "findings": [
              {
                "id": "focus-finding",
                "name": "Focus",
                "description": "Focus.",
                "questions": [
                  {
                    "text": "How do the focus and directrix define a parabola?",
                    "kind": "definition"
                  },
                  {
                    "text": "How is a parabola measured or parameterised?",
                    "kind": "measurement"
                  }
                ]
              }
            ]
          }
        ]
      },
      {
        "id": "properties",
        "name": "Properties",
        "description": "Properties.",
        "rationale": "Sources.",
        "layers": [
          {
            "id": "equation",
            "name": "Equation",
            "description": "Equation.",
            "findings": [
              {
                "id": "equation-finding",
                "name": "Equation",
                "description": "Equation.",
                "questions": [
                  {
                    "text": "How is a parabola written as the graph of a quadratic?",
                    "kind": "provenance"
                  },
                  {
                    "text": "Which references are standard?",
                    "kind": "provenance"
                  }
                ]
              }
            ]
          },
          {
            "id": "reflection",
            "name": "Reflection",
            "description": "Reflective property.",
            "findings": [
              {
                "id": "reflection-finding",
                "name": "Reflection",
                "description": "Reflection.",
                "questions": [
                  {
                    "text": "What is the reflective property of a parabola?",
                    "kind": "provenance"
                  },
                  {
                    "text": "Which sources are cited?",
                    "kind": "provenance"
                  }
                ]
              }
            ]
          }
        ]
      },
      {
        "id": "applications",
        "name": "Applications",
        "description": "Applications.",
        "rationale": "Sources.",
        "layers": [
          {
            "id": "physics",
            "name": "Physics",
            "description": "Projectiles.",
            "findings": [
              {
                "id": "physics-finding",
                "name": "Physics",
                "description": "Physics.",
                "questions": [
                  {
                    "text": "Why does a projectile follow a parabola under gravity?",
                    "kind": "provenance"
                  },
                  {
                    "text": "Is the model idealised?",
                    "kind": "boundary"
                  }
                ]
              }
            ]
          },
          {
            "id": "engineering",
            "name": "Engineering",
            "description": "Reflectors.",
            "findings": [
              {
                "id": "engineering-finding",
                "name": "Engineering",
                "description": "Engineering.",
                "questions": [
                  {
                    "text": "How are parabolic shapes used in dishes and reflectors?",
                    "kind": "provenance"
                  },
                  {
                    "text": "Which sources are cited?",
                    "kind": "provenance"
                  }
                ]
              }
            ]
          }
        ]
      },
      {
        "id": "context",
        "name": "Context",
        "description": "Context.",
        "rationale": "Context.",
        "layers": [
          {
            "id": "conics",
            "name": "Conics",
            "description": "Conic family.",
            "findings": [
              {
                "id": "conics-finding",
                "name": "Conics",
                "description": "Conics.",
                "questions": [
                  {
                    "text": "How does the parabola fit among the conic sections?",
                    "kind": "provenance"
                  },
                  {
                    "text": "Which entry fits conic section?",
                    "kind": "action"
                  }
                ]
              }
            ]
          },
          {
            "id": "geometry",
            "name": "Geometry",
            "description": "Triangle geometry.",
            "findings": [
              {
                "id": "geometry-finding",
                "name": "Geometry",
                "description": "Geometry.",
                "questions": [
                  {
                    "text": "What are the Kiepert and Artzt parabolas?",
                    "kind": "provenance"
                  },
                  {
                    "text": "Which sources are cited?",
                    "kind": "provenance"
                  }
                ]
              }
            ]
          }
        ]
      }
    ]
  },
  "openQuestions": [
    "Should special parabolas be separate entries?",
    "How should the conic-section family be linked?",
    "How should applications be scoped?"
  ],
  "statistics": {
    "bundles": 4,
    "layers": 8,
    "findings": 8,
    "questions": 16
  }
}