Triple

T22328586
Position Surface form Disambiguated ID Type / Status
Subject Fubini–Study form E551964 entity
Predicate hasConstantHolomorphicSectionalCurvature P147758 FINISHED
Object yes (for associated metric) LITERAL FINISHED

How this triple was built (2 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: yes (for associated metric) | Statement: [Fubini–Study form, hasConstantHolomorphicSectionalCurvature, yes (for associated metric)]
PD Predicate disambiguation gpt-5-mini-2025-08-07
Target predicate: hasConstantHolomorphicSectionalCurvature
Context triple: [Fubini–Study form, hasConstantHolomorphicSectionalCurvature, yes (for associated metric)]
  • A. isConformallyFlat
    Indicates that a geometric space or metric can be transformed by a smooth, position-dependent scaling into a flat (Euclidean or Minkowski) metric, preserving angles but not necessarily lengths.
  • B. isGeodesicallyComplete
    Indicates that every geodesic in the given space can be extended indefinitely in both directions without leaving the space.
  • C. isHolomorphicallyContractible
    Indicates that a space can be continuously shrunk to a point through holomorphic maps, preserving complex-analytic structure throughout the contraction.
  • D. isRiemannianMetricOn
    Indicates that one object serves as a Riemannian metric defined on another object, typically a manifold, specifying an inner product on each tangent space.
  • E. hasRicciScalar
    Indicates that an entity (typically a spacetime or geometric manifold) is associated with a specific value of the Ricci scalar curvature derived from its metric.
  • F. None of above. chosen

Provenance (4 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_69e11e482f788190b78d1588fc26d606 completed April 16, 2026, 5:37 p.m.
NER Named-entity recognition batch_69f15769fdb48190b84e0c019ab63579 completed April 29, 2026, 12:57 a.m.
PD Predicate disambiguation batch_69e73004d9e88190bb862319a5aea06b completed April 21, 2026, 8:06 a.m.
PDg Predicate description generation batch_69e7342ce08c8190bc0a7085f4a952e7 completed April 21, 2026, 8:24 a.m.
Created at: April 16, 2026, 8:43 p.m.