Triple

T2683196
Position Surface form Disambiguated ID Type / Status
Subject Ricci scalar E57421 entity
Predicate isContractionOf P41477 FINISHED
Object Riemann curvature tensor E22818 NE 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: Riemann curvature tensor | Statement: [Ricci scalar, isContractionOf, Riemann curvature tensor]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07 
Target entity: Riemann curvature tensor
Context triple: [Ricci scalar, isContractionOf, Riemann curvature tensor]
  • A. Riemann curvature tensor chosen
    The Riemann curvature tensor is a fundamental geometric object in differential geometry that measures how much a Riemannian manifold deviates from being flat by encoding the intrinsic curvature of the space.
  • B. Ricci curvature tensor
    The Ricci curvature tensor is a geometric object in differential geometry that measures how volumes in a curved space-time deviate from those in flat space, playing a central role in general relativity.
  • C. Ricci calculus
    Ricci calculus is a mathematical framework for tensor analysis on manifolds that underpins much of modern differential geometry and general relativity.
  • D. Ricci-Curbastro
    Ricci-Curbastro is the surname of the Italian mathematician Gregorio Ricci-Curbastro, a pioneer of tensor calculus and differential geometry.
  • E. Einstein tensor
    The Einstein tensor is a mathematical object in general relativity that encapsulates how spacetime curvature is related to the distribution of matter and energy.
  • F. None of above.
  • G. Unsure - the case is ambiguous/there is not enough information to decide.

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_69ab4a5028388190a36f3baf1588309e completed March 6, 2026, 9:42 p.m.
NER Named-entity recognition batch_69abdd1e80dc819083e04e1427d187d0 completed March 7, 2026, 8:09 a.m.
NED1 Entity disambiguation (via context triple) batch_69afaf5b19b88190982a669501463fa9 completed March 10, 2026, 5:42 a.m.
Created at: March 6, 2026, 9:54 p.m.