Triple
T6910737
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Hahn series |
E159923
|
entity |
| Predicate | relatedConcept |
P37
|
FINISHED |
| Object |
Levi-Civita field
The Levi-Civita field is a non-Archimedean ordered field of formal power series with real coefficients and well-ordered rational exponents, used to rigorously model infinitesimals and infinite quantities in analysis.
|
E627727
|
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: Levi-Civita field | Statement: [Hahn series, relatedConcept, Levi-Civita field]
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Levi-Civita field Context triple: [Hahn series, relatedConcept, Levi-Civita field]
-
A.
Levine-Fricke Field
Levine-Fricke Field is the home softball stadium of the University of California, Berkeley Golden Bears, located on the university’s campus in Berkeley, California.
-
B.
Levi-Civita symbol
The Levi-Civita symbol is an antisymmetric tensor used in mathematics and physics to represent orientations, cross products, and determinants in multiple dimensions.
-
C.
Infeld–van der Waerden formalism
The Infeld–van der Waerden formalism is a mathematical framework in general relativity that reformulates the theory using spinor calculus to describe gravitational and electromagnetic fields.
-
D.
Noether field
A Noether field is a type of field extension studied in invariant theory and Galois theory, arising as the fixed field of a group action on a rational function field and central to questions about rationality in Noether’s problem.
-
E.
Ricci-Curbastro
Ricci-Curbastro is the surname of the Italian mathematician Gregorio Ricci-Curbastro, a pioneer of tensor calculus and differential geometry.
- 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: Levi-Civita field Triple: [Hahn series, relatedConcept, Levi-Civita field]
Generated description
The Levi-Civita field is a non-Archimedean ordered field of formal power series with real coefficients and well-ordered rational exponents, used to rigorously model infinitesimals and infinite quantities in analysis.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: Levi-Civita field Target entity description: The Levi-Civita field is a non-Archimedean ordered field of formal power series with real coefficients and well-ordered rational exponents, used to rigorously model infinitesimals and infinite quantities in analysis.
-
A.
Levine-Fricke Field
Levine-Fricke Field is the home softball stadium of the University of California, Berkeley Golden Bears, located on the university’s campus in Berkeley, California.
-
B.
Levi-Civita symbol
The Levi-Civita symbol is an antisymmetric tensor used in mathematics and physics to represent orientations, cross products, and determinants in multiple dimensions.
-
C.
Infeld–van der Waerden formalism
The Infeld–van der Waerden formalism is a mathematical framework in general relativity that reformulates the theory using spinor calculus to describe gravitational and electromagnetic fields.
-
D.
Noether field
A Noether field is a type of field extension studied in invariant theory and Galois theory, arising as the fixed field of a group action on a rational function field and central to questions about rationality in Noether’s problem.
-
E.
Ricci-Curbastro
Ricci-Curbastro is the surname of the Italian mathematician Gregorio Ricci-Curbastro, a pioneer of tensor calculus and differential geometry.
- 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_69c68839ccb88190b4aa5cc1aca3448f |
completed | March 27, 2026, 1:38 p.m. |
| NER | Named-entity recognition | batch_69c6d9c135b48190b332aedf1d52bdb7 |
completed | March 27, 2026, 7:25 p.m. |
| NED1 | Entity disambiguation (via context triple) | batch_69c7490c95548190a493d3fd23d1d7a5 |
completed | March 28, 2026, 3:20 a.m. |
| NEDg | Description generation | batch_69c749d4b088819095f991f976592d04 |
completed | March 28, 2026, 3:24 a.m. |
| NED2 | Entity disambiguation (via description) | batch_69c74aab12988190bd23cfcc06c55cde |
completed | March 28, 2026, 3:27 a.m. |
Created at: March 27, 2026, 2:25 p.m.