Triple

T2594222
Position Surface form Disambiguated ID Type / Status
Subject Christoffel symbols E58190 entity
Predicate alsoCalled P39 FINISHED
Object Levi-Civita connection coefficients E58190 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: Levi-Civita connection coefficients | Statement: [Christoffel symbols, alsoCalled, Levi-Civita connection coefficients]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07 
Target entity: Levi-Civita connection coefficients
Context triple: [Christoffel symbols, alsoCalled, Levi-Civita connection coefficients]
  • A. Levi-Civita connection
    The Levi-Civita connection is the unique torsion-free affine connection on a Riemannian manifold that is compatible with its metric, enabling the definition of parallel transport and covariant differentiation.
  • B. Christoffel symbols chosen
    Christoffel symbols are mathematical objects in differential geometry that represent how coordinate bases change from point to point on a curved space or spacetime, and are used to define covariant derivatives and geodesics.
  • C. Levi-Civita symbol
    The Levi-Civita symbol is an antisymmetric tensor used in mathematics and physics to represent orientations, cross products, and determinants in multiple dimensions.
  • D. Ricci calculus
    Ricci calculus is a mathematical framework for tensor analysis on manifolds that underpins much of modern differential geometry and general relativity.
  • E. Riemann curvature tensor
    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.
  • 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_69ab4ac14040819098b13f4a27d5c8ff completed March 6, 2026, 9:44 p.m.
NER Named-entity recognition batch_69abd427f58c8190af1c1a9724158c96 completed March 7, 2026, 7:30 a.m.
NED1 Entity disambiguation (via context triple) batch_69af83bee4908190b5e446ddbf4e8889 completed March 10, 2026, 2:36 a.m.
Created at: March 6, 2026, 9:49 p.m.