Triple

T379056
Position Surface form Disambiguated ID Type / Status
Subject Ricci curvature tensor E8635 entity
Predicate coordinateExpression P12685 FINISHED
Object R_{ij} = \partial_k \Gamma^{k}_{ij} - \partial_j \Gamma^{k}_{ik} + \Gamma^{k}_{ij} \Gamma^{l}_{kl} - \Gamma^{k}_{il} \Gamma^{l}_{kj} — 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: R_{ij} = \partial_k \Gamma^{k}_{ij} - \partial_j \Gamma^{k}_{ik} + \Gamma^{k}_{ij} \Gamma^{l}_{kl} - \Gamma^{k}_{il} \Gamma^{l}_{kj} | Statement: [Ricci curvature tensor, coordinateExpression, R_{ij} = \partial_k \Gamma^{k}_{ij} - \partial_j \Gamma^{k}_{ik} + \Gamma^{k}_{ij} \Gamma^{l}_{kl} - \Gamma^{k}_{il} \Gamma^{l}_{kj}]
PD Predicate disambiguation gpt-5-mini-2025-08-07 
Target predicate: coordinateExpression
Context triple: [Ricci curvature tensor, coordinateExpression, R_{ij} = \partial_k \Gamma^{k}_{ij} - \partial_j \Gamma^{k}_{ik} + \Gamma^{k}_{ij} \Gamma^{l}_{kl} - \Gamma^{k}_{il} \Gamma^{l}_{kj}]
  • A. coordinatesWith
    Indicates that one entity works together with another in an organized or synchronized manner to achieve a shared or compatible outcome.
  • B. coordinates
    Indicates that one entity organizes, directs, or harmonizes the actions or efforts of another entity or group to achieve a unified outcome.
  • C. coordinateSystem
    Indicates that one entity defines or uses a particular spatial or reference coordinate system in relation to another entity.
  • D. coordinateLocation
    Indicates that an entity is located at, or associated with, a specific geographic coordinate or set of coordinates.
  • E. coordinateLatitude
    Indicates the north–south geographic position of an entity on the Earth’s surface, expressed as a latitude coordinate.
  • F. None of above. chosen

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_69a2e7f47dd08190a4e294ccbbe46cd4 completed Feb. 28, 2026, 1:04 p.m.
NER Named-entity recognition batch_69a2ec2974988190a1d6316cbb5159c8 completed Feb. 28, 2026, 1:22 p.m.
PD Predicate disambiguation batch_69a2e964d4b481909290e474b0341e3c completed Feb. 28, 2026, 1:11 p.m.
PDg Predicate description generation batch_69a2eae0bd7081908197bbf5c55fe647 completed Feb. 28, 2026, 1:17 p.m.
Created at: Feb. 28, 2026, 1:08 p.m.