Triple

T4756638
Position Surface form Disambiguated ID Type / Status
Subject Jacobi ellipsoid E105603 entity
Predicate isRelatedTo P37 FINISHED
Object 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.
E468356 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: Riemann ellipsoid | Statement: [Jacobi ellipsoid, isRelatedTo, Riemann ellipsoid]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Riemann ellipsoid
Context triple: [Jacobi ellipsoid, isRelatedTo, Riemann ellipsoid]
  • A. Jacobi ellipsoid
    A Jacobi ellipsoid is a rotating, self-gravitating fluid body in equilibrium that takes on a triaxial ellipsoidal shape due to its rapid spin.
  • B. Klein quartic
    The Klein quartic is a highly symmetric algebraic curve of genus 3 that plays a central role in complex geometry, group theory, and the study of Riemann surfaces.
  • C. Riemann sphere
    The Riemann sphere is the complex plane plus a point at infinity, forming a one-dimensional complex manifold topologically equivalent to a sphere and used to study meromorphic functions and complex analysis.
  • D. Weierstrass elliptic functions
    Weierstrass elliptic functions are a class of doubly periodic meromorphic functions that play a central role in the theory of elliptic curves and complex analysis.
  • E. 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.
  • 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: Riemann ellipsoid
Triple: [Jacobi ellipsoid, isRelatedTo, Riemann ellipsoid]
Generated description
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.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Riemann ellipsoid
Target entity description: 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.
  • A. Jacobi ellipsoid
    A Jacobi ellipsoid is a rotating, self-gravitating fluid body in equilibrium that takes on a triaxial ellipsoidal shape due to its rapid spin.
  • B. Klein quartic
    The Klein quartic is a highly symmetric algebraic curve of genus 3 that plays a central role in complex geometry, group theory, and the study of Riemann surfaces.
  • C. Riemann sphere
    The Riemann sphere is the complex plane plus a point at infinity, forming a one-dimensional complex manifold topologically equivalent to a sphere and used to study meromorphic functions and complex analysis.
  • D. Weierstrass elliptic functions
    Weierstrass elliptic functions are a class of doubly periodic meromorphic functions that play a central role in the theory of elliptic curves and complex analysis.
  • E. 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.
  • F. None of above. chosen

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_69bd43f14cac819081c7c69803648211 completed March 20, 2026, 12:56 p.m.
NER Named-entity recognition batch_69bd64ec16a0819089836e4388b555f6 completed March 20, 2026, 3:17 p.m.
NED1 Entity disambiguation (via context triple) batch_69be3a72ba908190ad9b423aea2a22b8 completed March 21, 2026, 6:28 a.m.
NEDg Description generation batch_69be3e760ddc8190831956fc75c9a8e9 completed March 21, 2026, 6:45 a.m.
NED2 Entity disambiguation (via description) batch_69be3edc5c008190b3a32df15abed8be completed March 21, 2026, 6:46 a.m.
Created at: March 20, 2026, 1:20 p.m.