Triple

T34585583
Position Surface form Disambiguated ID Type / Status
Subject Three-manifolds with positive Ricci curvature E888034 entity
Predicate hasCurvatureCondition P161401 FINISHED
Object positive Ricci curvature 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: positive Ricci curvature | Statement: [Three-manifolds with positive Ricci curvature, hasCurvatureCondition, positive Ricci curvature]
PD Predicate disambiguation gpt-5-mini-2025-08-07
Target predicate: hasCurvatureCondition
Context triple: [Three-manifolds with positive Ricci curvature, hasCurvatureCondition, positive Ricci curvature]
  • A. curvatureCondition chosen
    Indicates that a specified geometric object or path satisfies a particular constraint or requirement on its curvature.
  • B. hasCurvatureBehavior
    Indicates how the curvature of an object or path behaves or changes under specified conditions or over a given domain.
  • C. hasCurvatureInvariant
    Indicates that one entity possesses a specific curvature-related invariant property or value associated with its geometric or mathematical structure.
  • D. hasSpatialCurvature
    Indicates that one entity possesses or exhibits a non-zero curvature in its spatial geometry relative to another frame or reference.
  • E. usesCurvature
    Indicates that one entity applies or relies on the curvature property or measure of another entity in its operation, definition, or analysis.
  • F. None of above.

Provenance (3 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_69f349d25cbc8190869998de5915886b completed April 30, 2026, 12:23 p.m.
NER Named-entity recognition batch_69fdd92396788190ae1424bc1ae55844 completed May 8, 2026, 12:37 p.m.
PD Predicate disambiguation batch_69fdd678f40481909a717a2daec83b36 completed May 8, 2026, 12:26 p.m.
Created at: May 1, 2026, 2:03 a.m.