Triple

T379067
Position Surface form Disambiguated ID Type / Status
Subject Ricci curvature tensor E8635 entity
Predicate introducedBy P513 FINISHED
Object Gregorio Ricci-Curbastro
Gregorio Ricci-Curbastro was an Italian mathematician best known as a founder of tensor calculus, which became fundamental to differential geometry and general relativity.
E49484 NE FINISHED

How this triple was built (4 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: Gregorio Ricci-Curbastro | Statement: [Ricci curvature tensor, introducedBy, Gregorio Ricci-Curbastro]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Gregorio Ricci-Curbastro
Context triple: [Ricci curvature tensor, introducedBy, Gregorio Ricci-Curbastro]
  • A. Élie Cartan
    Élie Cartan was a pioneering French mathematician renowned for his foundational work in differential geometry, Lie groups, and the theory of symmetric spaces.
  • B. Hermann Minkowski
    Hermann Minkowski was a German mathematician and physicist best known for formulating the four-dimensional spacetime framework that underpins the theory of relativity.
  • C. Constantin Carathéodory
    Constantin Carathéodory was a prominent Greek-German mathematician known for his influential work in real analysis, the calculus of variations, and the foundations of thermodynamics.
  • D. Paul Gordan
    Paul Gordan was a 19th-century German mathematician known as the "king of invariant theory" for his foundational work in algebraic invariants.
  • E. Sophus Lie
    Sophus Lie was a Norwegian mathematician renowned for founding the theory of continuous transformation groups, now known as Lie groups, which play a central role in modern geometry and theoretical physics.
  • F. None of above. chosen
  • G. Unsure - the case is ambiguous/there is not enough information to decide.
NEDg Description generation gpt-5.1
Instruction
Generate a one-sentence description of the target entity. 
You are given a context triple in the form (subject, predicate, object), where the object is the target entity. 
# Instructions
Use the triple to infer relevant information about the entity. Describe the entity based on what is most defining, well-known. 
Avoid repeating the information from the triple, unless really essential.
# Response Format
Return only the sentence: "Description: [one-sentence description of the target entity]"
Input
Entity: Gregorio Ricci-Curbastro
Triple: [Ricci curvature tensor, introducedBy, Gregorio Ricci-Curbastro]
Generated description
Gregorio Ricci-Curbastro was an Italian mathematician best known as a founder of tensor calculus, which became fundamental to differential geometry and general relativity.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Gregorio Ricci-Curbastro
Target entity description: Gregorio Ricci-Curbastro was an Italian mathematician best known as a founder of tensor calculus, which became fundamental to differential geometry and general relativity.
  • A. Élie Cartan
    Élie Cartan was a pioneering French mathematician renowned for his foundational work in differential geometry, Lie groups, and the theory of symmetric spaces.
  • B. Hermann Minkowski
    Hermann Minkowski was a German mathematician and physicist best known for formulating the four-dimensional spacetime framework that underpins the theory of relativity.
  • C. Constantin Carathéodory
    Constantin Carathéodory was a prominent Greek-German mathematician known for his influential work in real analysis, the calculus of variations, and the foundations of thermodynamics.
  • D. Paul Gordan
    Paul Gordan was a 19th-century German mathematician known as the "king of invariant theory" for his foundational work in algebraic invariants.
  • E. Sophus Lie
    Sophus Lie was a Norwegian mathematician renowned for founding the theory of continuous transformation groups, now known as Lie groups, which play a central role in modern geometry and theoretical physics.
  • F. None of above. chosen

Provenance (5 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.
NED1 Entity disambiguation (via context triple) batch_69a4034d395c81909ca1fe0ae6589660 completed March 1, 2026, 9:13 a.m.
NEDg Description generation batch_69a404cd31b0819088390ef3a3c704d8 completed March 1, 2026, 9:20 a.m.
NED2 Entity disambiguation (via description) batch_69a4055b48fc81908a2b7fa1725bbdc4 completed March 1, 2026, 9:22 a.m.
Created at: Feb. 28, 2026, 1:08 p.m.