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.