Triple

T13765992
Position Surface form Disambiguated ID Type / Status
Subject Jean-Daniel Perrin E330742 entity
Predicate notableWork P4 FINISHED
Object Cours d’algèbre commutative
Cours d’algèbre commutative is a foundational French textbook on commutative algebra authored by mathematician Jean-Daniel Perrin.
E1058599 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: Cours d’algèbre commutative | Statement: [Jean-Daniel Perrin, notableWork, Cours d’algèbre commutative]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Cours d’algèbre commutative
Context triple: [Jean-Daniel Perrin, notableWork, Cours d’algèbre commutative]
  • A. Eisenbud’s Commutative Algebra
    Eisenbud’s *Commutative Algebra* is a widely used graduate-level textbook that develops modern commutative algebra with strong connections to algebraic geometry, featuring topics such as free resolutions, syzygies, and Castelnuovo–Mumford regularity.
  • B. Éléments de géométrie algébrique
    Éléments de géométrie algébrique is a foundational multi-volume treatise that reshaped modern algebraic geometry by developing the theory of schemes and cohomology in a highly general, abstract framework.
  • C. Séminaire de Géométrie Algébrique du Bois Marie
    Séminaire de Géométrie Algébrique du Bois Marie is a foundational multi-volume series of advanced seminars that reshaped modern algebraic geometry through the development of schemes, cohomology theories, and the Grothendieck school’s methods.
  • D. FGA (Fondements de la géométrie algébrique)
    FGA (Fondements de la géométrie algébrique) is a foundational collection of Alexander Grothendieck’s seminar expositions that systematically developed modern algebraic geometry, including major results such as the Grothendieck–Riemann–Roch theorem.
  • E. A Course in Arithmetic
    A Course in Arithmetic is a classic introductory text in number theory by Jean-Pierre Serre, renowned for its concise and elegant treatment of fundamental arithmetic and algebraic concepts.
  • 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: Cours d’algèbre commutative
Triple: [Jean-Daniel Perrin, notableWork, Cours d’algèbre commutative]
Generated description
Cours d’algèbre commutative is a foundational French textbook on commutative algebra authored by mathematician Jean-Daniel Perrin.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Cours d’algèbre commutative
Target entity description: Cours d’algèbre commutative is a foundational French textbook on commutative algebra authored by mathematician Jean-Daniel Perrin.
  • A. Eisenbud’s Commutative Algebra
    Eisenbud’s *Commutative Algebra* is a widely used graduate-level textbook that develops modern commutative algebra with strong connections to algebraic geometry, featuring topics such as free resolutions, syzygies, and Castelnuovo–Mumford regularity.
  • B. Éléments de géométrie algébrique
    Éléments de géométrie algébrique is a foundational multi-volume treatise that reshaped modern algebraic geometry by developing the theory of schemes and cohomology in a highly general, abstract framework.
  • C. Séminaire de Géométrie Algébrique du Bois Marie
    Séminaire de Géométrie Algébrique du Bois Marie is a foundational multi-volume series of advanced seminars that reshaped modern algebraic geometry through the development of schemes, cohomology theories, and the Grothendieck school’s methods.
  • D. FGA (Fondements de la géométrie algébrique)
    FGA (Fondements de la géométrie algébrique) is a foundational collection of Alexander Grothendieck’s seminar expositions that systematically developed modern algebraic geometry, including major results such as the Grothendieck–Riemann–Roch theorem.
  • E. A Course in Arithmetic
    A Course in Arithmetic is a classic introductory text in number theory by Jean-Pierre Serre, renowned for its concise and elegant treatment of fundamental arithmetic and algebraic concepts.
  • 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_69d81c583b0081909e408a17db517a21 completed April 9, 2026, 9:38 p.m.
NER Named-entity recognition batch_69de0227f2c48190983ccc9395e4e7a2 completed April 14, 2026, 9 a.m.
NED1 Entity disambiguation (via context triple) batch_69f7a864c0ac81909e5fcd134ea66414 completed May 3, 2026, 7:56 p.m.
NEDg Description generation batch_69f7a94390988190bcaedcda0b691fbb completed May 3, 2026, 8 p.m.
NED2 Entity disambiguation (via description) batch_69f7a9fe250c8190b66062e7fcea8d86 completed May 3, 2026, 8:03 p.m.
Created at: April 9, 2026, 10:10 p.m.