Triple

T19132855
Position Surface form Disambiguated ID Type / Status
Subject Riemann ellipsoid E468356 entity
Predicate relatedTo P37 FINISHED
Object Dirichlet ellipsoids
Dirichlet ellipsoids are equilibrium figures of rotating, self-gravitating homogeneous fluid masses that generalize classical ellipsoidal solutions in celestial mechanics and fluid dynamics.
E468355 NE FINISHED

How this triple was built (4 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: Dirichlet ellipsoids | Statement: [Riemann ellipsoid, relatedTo, Dirichlet ellipsoids]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Dirichlet ellipsoids
Context triple: [Riemann ellipsoid, relatedTo, Dirichlet ellipsoids]
  • A. 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.
  • B. Torqued Ellipses
    Torqued Ellipses is a series of monumental, curving steel sculptures by Richard Serra that immerse viewers in disorienting, spiraling spatial experiences.
  • C. Riemann ellipsoid
    A Riemann ellipsoid is a rotating, self-gravitating fluid mass in ellipsoidal equilibrium whose internal motion and figure are analyzed in Riemann’s extension of classical ellipsoidal models in celestial mechanics.
  • D. Roche–Riemann ellipsoids
    Roche–Riemann ellipsoids are a family of rotating, self-gravitating fluid equilibrium figures in astrophysics and celestial mechanics that generalize classical ellipsoidal solutions like the Jacobi ellipsoid.
  • E. Minkowski’s theorem on convex sets
    Minkowski’s theorem on convex sets is a fundamental result in convex geometry that characterizes lattice points in convex bodies, underpinning much of the theory of convex polytopes and the geometry of numbers.
  • F. None of above. chosen
  • G. Unsure - the case is ambiguous/there is not enough information to decide.
NEDg Description generation gpt-5.1
Instruction
Generate a one-sentence description of the target entity. 
You are given a context triple in the form (subject, predicate, object), where the object is the target entity. 
# Instructions
Use the triple to infer relevant information about the entity. Describe the entity based on what is most defining, well-known. 
Avoid repeating the information from the triple, unless really essential.
# Response Format
Return only the sentence: "Description: [one-sentence description of the target entity]"
Input
Entity: Dirichlet ellipsoids
Triple: [Riemann ellipsoid, relatedTo, Dirichlet ellipsoids]
Generated description
Dirichlet ellipsoids are equilibrium figures of rotating, self-gravitating homogeneous fluid masses that generalize classical ellipsoidal solutions in celestial mechanics and fluid dynamics.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Dirichlet ellipsoids
Target entity description: Dirichlet ellipsoids are equilibrium figures of rotating, self-gravitating homogeneous fluid masses that generalize classical ellipsoidal solutions in celestial mechanics and fluid dynamics.
  • A. 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.
  • B. Torqued Ellipses
    Torqued Ellipses is a series of monumental, curving steel sculptures by Richard Serra that immerse viewers in disorienting, spiraling spatial experiences.
  • C. Riemann ellipsoid
    A Riemann ellipsoid is a rotating, self-gravitating fluid mass in ellipsoidal equilibrium whose internal motion and figure are analyzed in Riemann’s extension of classical ellipsoidal models in celestial mechanics.
  • D. Roche–Riemann ellipsoids chosen
    Roche–Riemann ellipsoids are a family of rotating, self-gravitating fluid equilibrium figures in astrophysics and celestial mechanics that generalize classical ellipsoidal solutions like the Jacobi ellipsoid.
  • E. Minkowski’s theorem on convex sets
    Minkowski’s theorem on convex sets is a fundamental result in convex geometry that characterizes lattice points in convex bodies, underpinning much of the theory of convex polytopes and the geometry of numbers.
  • F. None of above.

Provenance (5 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_69d8dd0796a48190b34ce4cd9d3f3be5 completed April 10, 2026, 11:20 a.m.
NER Named-entity recognition batch_69e5e3ea82f08190811ef35fbae744d1 completed April 20, 2026, 8:29 a.m.
NED1 Entity disambiguation (via context triple) batch_6a05e67f5ae881909d5c865b6c8ffdda completed May 14, 2026, 3:13 p.m.
NEDg Description generation batch_6a05e9406ba48190a50f4ea6b413e1f4 completed May 14, 2026, 3:24 p.m.
NED2 Entity disambiguation (via description) batch_6a05e9c0d35081909b6ce3c287af5d5f completed May 14, 2026, 3:26 p.m.
Created at: April 10, 2026, 12:05 p.m.