Triple

T2594235
Position Surface form Disambiguated ID Type / Status
Subject Christoffel symbols E58190 entity
Predicate enterEquation P12675 FINISHED
Object geodesic equation d^2x^μ/dτ^2 + Γ^μ_{νρ}(dx^ν/dτ)(dx^ρ/dτ) = 0 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: geodesic equation d^2x^μ/dτ^2 + Γ^μ_{νρ}(dx^ν/dτ)(dx^ρ/dτ) = 0 | Statement: [Christoffel symbols, enterEquation, geodesic equation d^2x^μ/dτ^2 + Γ^μ_{νρ}(dx^ν/dτ)(dx^ρ/dτ) = 0]
PD Predicate disambiguation gpt-5-mini-2025-08-07
Target predicate: enterEquation
Context triple: [Christoffel symbols, enterEquation, geodesic equation d^2x^μ/dτ^2 + Γ^μ_{νρ}(dx^ν/dτ)(dx^ρ/dτ) = 0]
  • A. mathematicallyExpressedBy chosen
    Indicates that something (such as a concept, quantity, or relationship) is represented or captured using a specific mathematical expression or formulation.
  • B. entersExpression
    Indicates that one entity moves into, penetrates, or passes through another entity or defined space.
  • C. mathematicallyFormulatedBy
    Indicates that something (such as a concept, model, or theory) is expressed or defined using mathematical formulations created by a particular agent.
  • D. formulaUsed
    Indicates that a particular formula is employed or applied in performing a calculation, derivation, or reasoning step.
  • E. algebra
    Indicates a relationship involving algebraic operations, structures, or properties between mathematical entities.
  • 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_69ab4ac14040819098b13f4a27d5c8ff completed March 6, 2026, 9:44 p.m.
NER Named-entity recognition batch_69abd427f58c8190af1c1a9724158c96 completed March 7, 2026, 7:30 a.m.
PD Predicate disambiguation batch_69abd0d344988190a18dd93b13e002e6 completed March 7, 2026, 7:16 a.m.
Created at: March 6, 2026, 9:49 p.m.