Triple
T10512063
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Enrico Betti |
E247938
|
entity |
| Predicate | notableWork |
P4
|
FINISHED |
| Object |
Teoria delle funzioni potenziali
Teoria delle funzioni potenziali is a foundational mathematical work by Enrico Betti that develops the theory of potential functions, contributing significantly to mathematical physics and analysis.
|
E868117
|
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: Teoria delle funzioni potenziali | Statement: [Enrico Betti, notableWork, Teoria delle funzioni potenziali]
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Teoria delle funzioni potenziali Context triple: [Enrico Betti, notableWork, Teoria delle funzioni potenziali]
-
A.
Neumann boundary conditions in potential theory
Neumann boundary conditions in potential theory specify that the normal derivative of a potential function on a boundary is prescribed, modeling situations where flux across the boundary is controlled rather than the potential itself.
-
B.
Methods of Mathematical Physics
Methods of Mathematical Physics is a classic two-volume textbook by Richard Courant and David Hilbert that rigorously develops the mathematical foundations and techniques used in theoretical physics.
-
C.
Théorie des fonctions analytiques
Théorie des fonctions analytiques is a foundational mathematical treatise by Joseph-Louis Lagrange that systematically develops calculus using power series and analytic functions instead of geometric or infinitesimal arguments.
-
D.
Oblique Function theory
Oblique Function theory is an architectural concept developed by Claude Parent (often with Paul Virilio) that advocates sloping, inclined planes in buildings to disrupt traditional vertical-horizontal spatial organization and transform how people move and inhabit space.
-
E.
Cauchy–Pompeiu formula
The Cauchy–Pompeiu formula is a fundamental result in complex analysis that extends the Cauchy integral formula to functions that are not necessarily holomorphic by expressing them via both boundary and area integrals.
- 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: Teoria delle funzioni potenziali Triple: [Enrico Betti, notableWork, Teoria delle funzioni potenziali]
Generated description
Teoria delle funzioni potenziali is a foundational mathematical work by Enrico Betti that develops the theory of potential functions, contributing significantly to mathematical physics and analysis.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: Teoria delle funzioni potenziali Target entity description: Teoria delle funzioni potenziali is a foundational mathematical work by Enrico Betti that develops the theory of potential functions, contributing significantly to mathematical physics and analysis.
-
A.
Neumann boundary conditions in potential theory
Neumann boundary conditions in potential theory specify that the normal derivative of a potential function on a boundary is prescribed, modeling situations where flux across the boundary is controlled rather than the potential itself.
-
B.
Methods of Mathematical Physics
Methods of Mathematical Physics is a classic two-volume textbook by Richard Courant and David Hilbert that rigorously develops the mathematical foundations and techniques used in theoretical physics.
-
C.
Théorie des fonctions analytiques
Théorie des fonctions analytiques is a foundational mathematical treatise by Joseph-Louis Lagrange that systematically develops calculus using power series and analytic functions instead of geometric or infinitesimal arguments.
-
D.
Oblique Function theory
Oblique Function theory is an architectural concept developed by Claude Parent (often with Paul Virilio) that advocates sloping, inclined planes in buildings to disrupt traditional vertical-horizontal spatial organization and transform how people move and inhabit space.
-
E.
Cauchy–Pompeiu formula
The Cauchy–Pompeiu formula is a fundamental result in complex analysis that extends the Cauchy integral formula to functions that are not necessarily holomorphic by expressing them via both boundary and area integrals.
- 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_69d381c4aa948190942e1d803143fb0e |
completed | April 6, 2026, 9:49 a.m. |
| NER | Named-entity recognition | batch_69d509b5fcb8819087a23a2b26aecd70 |
completed | April 7, 2026, 1:42 p.m. |
| NED1 | Entity disambiguation (via context triple) | batch_69d8dcf65f808190993dbacde2df20eb |
completed | April 10, 2026, 11:20 a.m. |
| NEDg | Description generation | batch_69d8e8ca94508190a2a6beca7f01fbd8 |
completed | April 10, 2026, 12:10 p.m. |
| NED2 | Entity disambiguation (via description) | batch_69d9020bce488190b78e555cdd5caec4 |
completed | April 10, 2026, 1:58 p.m. |
Created at: April 6, 2026, 12:27 p.m.