Triple

T12442791
Position Surface form Disambiguated ID Type / Status
Subject Luigi Bianchi E297317 entity
Predicate notableWork P4 FINISHED
Object Lezioni di geometria differenziale
Lezioni di geometria differenziale is a foundational textbook on differential geometry by Italian mathematician Luigi Bianchi, influential in the development of modern geometric theory.
 E984863 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: Lezioni di geometria differenziale | Statement: [Luigi Bianchi, notableWork, Lezioni di geometria differenziale]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07 
Target entity: Lezioni di geometria differenziale
Context triple: [Luigi Bianchi, notableWork, Lezioni di geometria differenziale]
  • A. Vorlesungen über Differentialgeometrie
    Vorlesungen über Differentialgeometrie is a classic multi-volume textbook on differential geometry by Wilhelm Blaschke that significantly shaped the development and teaching of the subject in the 20th century.
  • B. "Vorlesungen über Differentialgeometrie"
    "Vorlesungen über Differentialgeometrie" is a foundational textbook on differential geometry authored by the influential German mathematician Heinz Hopf.
  • C. Vorlesungen über Geometrie
    Vorlesungen über Geometrie is a foundational 19th-century textbook on geometry authored by German mathematician Alfred Clebsch.
  • D. The Geometry of Geodesics
    The Geometry of Geodesics is a foundational mathematical monograph that systematically develops the theory of geodesics and metric geometry, particularly in non-Riemannian settings.
  • E. Lezioni di calcolo differenziale assoluto
    "Lezioni di calcolo differenziale assoluto" is a foundational mathematical text by Tullio Levi-Civita that systematically develops the theory of absolute differential calculus, now known as tensor calculus, with applications to geometry and 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: Lezioni di geometria differenziale
Triple: [Luigi Bianchi, notableWork, Lezioni di geometria differenziale]
Generated description
Lezioni di geometria differenziale is a foundational textbook on differential geometry by Italian mathematician Luigi Bianchi, influential in the development of modern geometric theory.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07 
Target entity: Lezioni di geometria differenziale
Target entity description: Lezioni di geometria differenziale is a foundational textbook on differential geometry by Italian mathematician Luigi Bianchi, influential in the development of modern geometric theory.
  • A. Vorlesungen über Differentialgeometrie
    Vorlesungen über Differentialgeometrie is a classic multi-volume textbook on differential geometry by Wilhelm Blaschke that significantly shaped the development and teaching of the subject in the 20th century.
  • B. "Vorlesungen über Differentialgeometrie"
    "Vorlesungen über Differentialgeometrie" is a foundational textbook on differential geometry authored by the influential German mathematician Heinz Hopf.
  • C. Vorlesungen über Geometrie
    Vorlesungen über Geometrie is a foundational 19th-century textbook on geometry authored by German mathematician Alfred Clebsch.
  • D. The Geometry of Geodesics
    The Geometry of Geodesics is a foundational mathematical monograph that systematically develops the theory of geodesics and metric geometry, particularly in non-Riemannian settings.
  • E. Lezioni di calcolo differenziale assoluto
    "Lezioni di calcolo differenziale assoluto" is a foundational mathematical text by Tullio Levi-Civita that systematically develops the theory of absolute differential calculus, now known as tensor calculus, with applications to geometry and 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_69d6ada166c48190b902972cd2408fa3 completed April 8, 2026, 7:33 p.m.
NER Named-entity recognition batch_69d94d8fd9848190a83410353d88ea8d completed April 10, 2026, 7:20 p.m.
NED1 Entity disambiguation (via context triple) batch_69f63f10926881909ffc641f8d19f93a completed May 2, 2026, 6:14 p.m.
NEDg Description generation batch_69f640874a0481908d9203b48304d866 completed May 2, 2026, 6:20 p.m.
NED2 Entity disambiguation (via description) batch_69f641287f888190bc7000c256c362d3 completed May 2, 2026, 6:23 p.m.
Created at: April 8, 2026, 9:55 p.m.