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.