Triple

T6832821
Position Surface form Disambiguated ID Type / Status
Subject Gauss’s remarkable theorem E157378 entity
Predicate typeOfCurvature P4461 FINISHED
Object sectional curvature in dimension two 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: sectional curvature in dimension two | Statement: [Gauss’s remarkable theorem, typeOfCurvature, sectional curvature in dimension two]
PD Predicate disambiguation gpt-5-mini-2025-08-07
Target predicate: typeOfCurvature
Context triple: [Gauss’s remarkable theorem, typeOfCurvature, sectional curvature in dimension two]
  • A. isCurved
    Indicates that an object or path deviates smoothly from a straight line, forming a bend or arc.
  • B. hasCurvatureInvariant chosen
    Indicates that one entity possesses a specific curvature-related invariant property or value associated with its geometric or mathematical structure.
  • C. hasCurvatureDivergence
    Indicates that one entity exhibits a difference or variation in curvature relative to another entity or reference.
  • D. allowsSpatialCurvature
    Indicates that one entity permits or enables the presence or variation of spatial curvature in relation to another entity or context.
  • E. slopeType
    Indicates the classification of a slope based on its geometric or physical characteristics, such as steepness, shape, or orientation.
  • 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_69c6882c53608190b99aebef079b23bd completed March 27, 2026, 1:37 p.m.
NER Named-entity recognition batch_69c6d62b1e8c8190a81d91191a54b073 completed March 27, 2026, 7:10 p.m.
PD Predicate disambiguation batch_69c6d09d95f0819091ca7f897dc21efe completed March 27, 2026, 6:46 p.m.
Created at: March 27, 2026, 2:18 p.m.