Triple

T379068
Position Surface form Disambiguated ID Type / Status
Subject Ricci curvature tensor E8635 entity
Predicate developedWith P12687 FINISHED
Object Tullio Levi-Civita
Tullio Levi-Civita was an Italian mathematician renowned for his foundational work in tensor calculus and differential geometry, which profoundly influenced general relativity and modern physics.
E49584 NE FINISHED

How this triple was built (5 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: Tullio Levi-Civita | Statement: [Ricci curvature tensor, developedWith, Tullio Levi-Civita]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Tullio Levi-Civita
Context triple: [Ricci curvature tensor, developedWith, Tullio Levi-Civita]
  • A. 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.
  • B. 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.
  • C. 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.
  • 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. 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.
  • 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: Tullio Levi-Civita
Triple: [Ricci curvature tensor, developedWith, Tullio Levi-Civita]
Generated description
Tullio Levi-Civita was an Italian mathematician renowned for his foundational work in tensor calculus and differential geometry, which profoundly influenced general relativity and modern physics.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Tullio Levi-Civita
Target entity description: Tullio Levi-Civita was an Italian mathematician renowned for his foundational work in tensor calculus and differential geometry, which profoundly influenced general relativity and modern physics.
  • A. 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.
  • B. 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.
  • C. 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.
  • 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. 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.
  • F. None of above. chosen
PD Predicate disambiguation gpt-5-mini-2025-08-07
Target predicate: developedWith
Context triple: [Ricci curvature tensor, developedWith, Tullio Levi-Civita]
  • A. developedAs
    Indicates that one entity was created, designed, or evolved specifically to function as or replace another entity.
  • B. developedUnder
    Indicates that something was created, produced, or brought into existence while being subject to the authority, guidance, or conditions imposed by a particular person, organization, regime, or framework.
  • C. developedAt
    Indicates the place or location where something was created, built, or developed.
  • D. coDeveloperOf
    Indicates that two or more entities jointly developed or collaborated in creating the same project, product, or work.
  • E. developedUnderAuspicesOf
    Indicates that something was developed under the sponsorship, guidance, or official authority of a particular organization or entity.
  • F. None of above. chosen

Provenance (7 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_69a405f431d48190b83e2eaa2fe0e587 completed March 1, 2026, 9:25 a.m.
NEDg Description generation batch_69a4068c6b708190b8f06efedc6ba2c6 completed March 1, 2026, 9:27 a.m.
NED2 Entity disambiguation (via description) batch_69a406d581888190a0380f362a844089 completed March 1, 2026, 9:28 a.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.