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.