Triple

T12070542
Position Surface form Disambiguated ID Type / Status
Subject Weyl tensor E287410 entity
Predicate isTracelessPartOf P69124 FINISHED
Object Riemann curvature tensor E22818 NE FINISHED

How this triple was built (3 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: [Weyl tensor, isTracelessPartOf, Riemann curvature tensor]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Riemann curvature tensor
Context triple: [Weyl tensor, isTracelessPartOf, 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.
PD Predicate disambiguation gpt-5-mini-2025-08-07
Target predicate: isTracelessPartOf
Context triple: [Weyl tensor, isTracelessPartOf, Riemann curvature tensor]
  • A. isOnlyPartOf
    Indicates that an entity is a component exclusively of a specific whole and not of any other whole.
  • B. isAComponentOf chosen
    Indicates that one entity functions as a constituent part or sub-unit of another, larger entity.
  • C. isRealPartOf
    Indicates that one entity constitutes an actual, concrete component or portion of another entity, rather than a conceptual or potential part.
  • D. isNotPartOf
    Indicates that one entity does not belong to, is not contained within, and is not a component or member of another entity.
  • E. isBackboneOf
    Indicates that one entity forms the main supporting structure or central framework upon which another entity fundamentally depends.
  • F. None of above.

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_69d6ab4846e081908ee7bbd66a6d3459 completed April 8, 2026, 7:23 p.m.
NER Named-entity recognition batch_69d9100b4ca8819084845ca4c13e34ce completed April 10, 2026, 2:58 p.m.
NED1 Entity disambiguation (via context triple) batch_69f60a683a108190b8f05c40ecda5f0e completed May 2, 2026, 2:30 p.m.
PD Predicate disambiguation batch_69d902bda47c8190b94860b31df4a98c completed April 10, 2026, 2:01 p.m.
Created at: April 8, 2026, 9:48 p.m.