Triple

T10773057
Position Surface form Disambiguated ID Type / Status
Subject Séminaire de Géométrie Algébrique du Bois Marie E254128 entity
Predicate associatedWith P37 FINISHED
Object Grothendieck school
The Grothendieck school refers to the group of mathematicians around Alexander Grothendieck who revolutionized algebraic geometry and related fields in the mid-20th century through highly abstract, categorical methods and the development of modern schemes and cohomology theories.
E254128 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: Grothendieck school | Statement: [Séminaire de Géométrie Algébrique du Bois Marie, associatedWith, Grothendieck school]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Grothendieck school
Context triple: [Séminaire de Géométrie Algébrique du Bois Marie, associatedWith, Grothendieck school]
  • A. Bourbaki school of mathematics
    The Bourbaki school of mathematics is a collective pseudonymous group of mainly French mathematicians known for their rigorous, abstract, and axiomatic reformulation of modern mathematics through influential multi-volume treatises.
  • B. Polish School of Mathematics
    The Polish School of Mathematics was a renowned early 20th-century mathematical tradition centered in cities like Warsaw and Lwów, noted for its groundbreaking work in areas such as functional analysis, topology, and logic.
  • C. Institut des Hautes Études Scientifiques
    The Institut des Hautes Études Scientifiques is a prestigious French research institute renowned for its fundamental work in mathematics and theoretical physics.
  • D. Lwów School of Mathematics
    The Lwów School of Mathematics was a renowned early 20th-century Polish mathematical community centered in Lwów, famous for its groundbreaking work in functional analysis, set theory, and probability, and for its collaborative problem-solving culture documented in the Scottish Book.
  • E. 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.
  • 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: Grothendieck school
Triple: [Séminaire de Géométrie Algébrique du Bois Marie, associatedWith, Grothendieck school]
Generated description
The Grothendieck school refers to the group of mathematicians around Alexander Grothendieck who revolutionized algebraic geometry and related fields in the mid-20th century through highly abstract, categorical methods and the development of modern schemes and cohomology theories.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Grothendieck school
Target entity description: The Grothendieck school refers to the group of mathematicians around Alexander Grothendieck who revolutionized algebraic geometry and related fields in the mid-20th century through highly abstract, categorical methods and the development of modern schemes and cohomology theories.
  • A. Bourbaki school of mathematics
    The Bourbaki school of mathematics is a collective pseudonymous group of mainly French mathematicians known for their rigorous, abstract, and axiomatic reformulation of modern mathematics through influential multi-volume treatises.
  • B. Polish School of Mathematics
    The Polish School of Mathematics was a renowned early 20th-century mathematical tradition centered in cities like Warsaw and Lwów, noted for its groundbreaking work in areas such as functional analysis, topology, and logic.
  • C. Institut des Hautes Études Scientifiques
    The Institut des Hautes Études Scientifiques is a prestigious French research institute renowned for its fundamental work in mathematics and theoretical physics.
  • D. Lwów School of Mathematics
    The Lwów School of Mathematics was a renowned early 20th-century Polish mathematical community centered in Lwów, famous for its groundbreaking work in functional analysis, set theory, and probability, and for its collaborative problem-solving culture documented in the Scottish Book.
  • E. Séminaire de Géométrie Algébrique du Bois Marie chosen
    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.
  • F. None of above.

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_69d6aa5f54f4819082d0bbcb6f8797e6 completed April 8, 2026, 7:19 p.m.
NER Named-entity recognition batch_69d7329b27748190bd0e2569c7972fd1 completed April 9, 2026, 5:01 a.m.
NED1 Entity disambiguation (via context triple) batch_69de238559b48190abc759e744ab0f8e completed April 14, 2026, 11:22 a.m.
NEDg Description generation batch_69de271fb08c8190a44c547083226fd8 completed April 14, 2026, 11:38 a.m.
NED2 Entity disambiguation (via description) batch_69de2cecc24c8190a240366e0600426a completed April 14, 2026, 12:02 p.m.
Created at: April 8, 2026, 9:16 p.m.