Triple

T2306395
Position Surface form Disambiguated ID Type / Status
Subject Jean-Pierre Serre E51848 entity
Predicate notableWork P4 FINISHED
Object GAGA (Géométrie Algébrique et Géométrie Analytique)
GAGA (Géométrie Algébrique et Géométrie Analytique) is Jean-Pierre Serre’s foundational 1956 paper establishing deep equivalences between algebraic geometry and complex analytic geometry, particularly for projective varieties.
E253117 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: GAGA (Géométrie Algébrique et Géométrie Analytique) | Statement: [Jean-Pierre Serre, notableWork, GAGA (Géométrie Algébrique et Géométrie Analytique)]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: GAGA (Géométrie Algébrique et Géométrie Analytique)
Context triple: [Jean-Pierre Serre, notableWork, GAGA (Géométrie Algébrique et Géométrie Analytique)]
  • A. Sur les courbes algébriques et les variétés qui s’en déduisent
    Sur les courbes algébriques et les variétés qui s’en déduisent is a foundational 1948 monograph by André Weil that helped establish modern algebraic geometry and introduced key ideas leading to the Weil conjectures.
  • B. Erlangen Program
    The Erlangen Program is Felix Klein’s influential 1872 framework that classifies and studies geometries based on their underlying symmetry groups and transformation properties.
  • C. Méthodes de calcul différentiel absolu et leurs applications
    Méthodes de calcul différentiel absolu et leurs applications is a foundational mathematical work that systematically develops the theory of tensor calculus and its applications, laying groundwork later used in general relativity.
  • D. Séminaire de Paris
    Séminaire de Paris is the principal Roman Catholic seminary responsible for the formation and training of future priests for the Archdiocese of Paris.
  • E. Hilbert’s Nullstellensatz
    Hilbert’s Nullstellensatz is a foundational theorem in algebraic geometry that establishes a deep correspondence between ideals in polynomial rings and algebraic sets, linking algebra and 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: GAGA (Géométrie Algébrique et Géométrie Analytique)
Triple: [Jean-Pierre Serre, notableWork, GAGA (Géométrie Algébrique et Géométrie Analytique)]
Generated description
GAGA (Géométrie Algébrique et Géométrie Analytique) is Jean-Pierre Serre’s foundational 1956 paper establishing deep equivalences between algebraic geometry and complex analytic geometry, particularly for projective varieties.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: GAGA (Géométrie Algébrique et Géométrie Analytique)
Target entity description: GAGA (Géométrie Algébrique et Géométrie Analytique) is Jean-Pierre Serre’s foundational 1956 paper establishing deep equivalences between algebraic geometry and complex analytic geometry, particularly for projective varieties.
  • A. Sur les courbes algébriques et les variétés qui s’en déduisent
    Sur les courbes algébriques et les variétés qui s’en déduisent is a foundational 1948 monograph by André Weil that helped establish modern algebraic geometry and introduced key ideas leading to the Weil conjectures.
  • B. Erlangen Program
    The Erlangen Program is Felix Klein’s influential 1872 framework that classifies and studies geometries based on their underlying symmetry groups and transformation properties.
  • C. Méthodes de calcul différentiel absolu et leurs applications
    Méthodes de calcul différentiel absolu et leurs applications is a foundational mathematical work that systematically develops the theory of tensor calculus and its applications, laying groundwork later used in general relativity.
  • D. Séminaire de Paris
    Séminaire de Paris is the principal Roman Catholic seminary responsible for the formation and training of future priests for the Archdiocese of Paris.
  • E. Hilbert’s Nullstellensatz
    Hilbert’s Nullstellensatz is a foundational theorem in algebraic geometry that establishes a deep correspondence between ideals in polynomial rings and algebraic sets, linking algebra and 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_69a88b0bb30c81908ded03b006d29387 completed March 4, 2026, 7:42 p.m.
NER Named-entity recognition batch_69abc60489c881908b0ba76d2075bc89 completed March 7, 2026, 6:30 a.m.
NED1 Entity disambiguation (via context triple) batch_69ae7f379bbc8190b085b82e2e16401e completed March 9, 2026, 8:05 a.m.
NEDg Description generation batch_69ae8004fb6c81908f9fb1678f608419 completed March 9, 2026, 8:08 a.m.
NED2 Entity disambiguation (via description) batch_69ae809ebfdc8190ae404d5711a58b59 completed March 9, 2026, 8:11 a.m.
Created at: March 4, 2026, 7:49 p.m.