Triple

T23080556
Position Surface form Disambiguated ID Type / Status
Subject Eduard Study E575456 entity
Predicate notableConcept P201 FINISHED
Object Study quadric NE NERFINISHED

How this triple was built (3 steps)

Every LLM step that produced this triple, in pipeline order — named-entity classification, the disambiguation choices (the exact options shown, with the pick highlighted), and the generated description. The batch + timestamp of each is in the Provenance table below.

NER Named-entity recognition gpt-5-mini
Instruction
Given a phrase, classify it is english named entity (e.g., persons, organizations, works of art) in Latin script, or not (e.g., literals, dates, URLs, verbose phrases). For disambiguation, the statement where the phrase occurs as object is also given. Please return a JSON object with `phrase` (string, the phrase being analyzed) and `is_ne` (boolean, indicating whether the phrase is a Named Entity).
Input
Phrase: Study quadric | Statement: [Eduard Study, notableConcept, Study quadric]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Study quadric
Context triple: [Eduard Study, notableConcept, Study quadric]
  • A. Clebsch diagonal surfaces
    Clebsch diagonal surfaces are classical 19th-century algebraic surfaces in projective three-space, famous as the first explicit smooth cubic surface with all 27 lines defined over the real numbers.
  • B. Rational Quadratic Forms
    Rational Quadratic Forms is a classic monograph in number theory that systematically develops the arithmetic theory of quadratic forms over the rational numbers.
  • C. Steiner surface
    The Steiner surface is a classical quartic algebraic surface in projective three-space, notable for being a singular model of the real projective plane studied extensively in 19th-century geometry.
  • D. Ellipsoids
    "Ellipsoids" is a sculptural series by German artist Isa Genzken that explores geometric abstraction through elongated, aerodynamic forms often associated with modern architecture and industrial design.
  • E. Fermat surface
    A Fermat surface is an algebraic surface in projective space defined by a homogeneous equation where each variable appears with the same exponent, generalizing the notion of Fermat curves to higher dimensions.
  • F. None of above. chosen
  • G. Unsure - the case is ambiguous/there is not enough information to decide.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Study quadric
Target entity description: The Study quadric is a fundamental algebraic variety in line geometry that represents the space of Euclidean rigid body motions via dual quaternions.
  • A. Clebsch diagonal surfaces
    Clebsch diagonal surfaces are classical 19th-century algebraic surfaces in projective three-space, famous as the first explicit smooth cubic surface with all 27 lines defined over the real numbers.
  • B. Rational Quadratic Forms
    Rational Quadratic Forms is a classic monograph in number theory that systematically develops the arithmetic theory of quadratic forms over the rational numbers.
  • C. Steiner surface
    The Steiner surface is a classical quartic algebraic surface in projective three-space, notable for being a singular model of the real projective plane studied extensively in 19th-century geometry.
  • D. Ellipsoids
    "Ellipsoids" is a sculptural series by German artist Isa Genzken that explores geometric abstraction through elongated, aerodynamic forms often associated with modern architecture and industrial design.
  • E. Fermat surface
    A Fermat surface is an algebraic surface in projective space defined by a homogeneous equation where each variable appears with the same exponent, generalizing the notion of Fermat curves to higher dimensions.
  • F. None of above. chosen

Provenance (2 batches)

The batch behind each pipeline step, in order, with when it ran. Timestamps are batch-level — stages were processed in waves, so the object chain (NER → NED1 → NEDg → NED2) reads in order, but predicate / elicitation batches can sit in a different wave.

Step Stage Batch ID Status When
creating Elicitation batch_69e245be28d48190ad1348d5a73db37d completed April 17, 2026, 2:37 p.m.
NER Named-entity recognition batch_69f18c66a80481909ebc2ba69f1e4bd9 completed April 29, 2026, 4:43 a.m.
Created at: April 17, 2026, 3:56 p.m.