Triple

T1382995
Position Surface form Disambiguated ID Type / Status
Subject Saunders Mac Lane E29380 entity
Predicate coAuthor P398 FINISHED
Object Samuel Eilenberg
Samuel Eilenberg was a Polish-American mathematician renowned for his foundational work in algebraic topology and category theory, including the development of Eilenberg–MacLane spaces and homological algebra.
E162580 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: Samuel Eilenberg | Statement: [Saunders Mac Lane, coAuthor, Samuel Eilenberg]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Samuel Eilenberg
Context triple: [Saunders Mac Lane, coAuthor, Samuel Eilenberg]
  • A. Saunders Mac Lane
    Saunders Mac Lane was an American mathematician best known as a co-founder of category theory and for his influential work in algebra and homological algebra.
  • B. Emil Artin
    Emil Artin was a prominent 20th-century Austrian mathematician renowned for his foundational contributions to algebra, particularly class field theory and Artin reciprocity.
  • C. Hassler Whitney
    Hassler Whitney was an influential American mathematician known for foundational contributions to differential topology and geometry, including work on manifolds, embeddings, and singularities.
  • D. Solomon Lefschetz
    Solomon Lefschetz was a prominent 20th-century mathematician best known for his foundational work in algebraic topology and geometry, including the development of Lefschetz fixed-point theory.
  • E. Claude Chevalley
    Claude Chevalley was a French mathematician renowned for his foundational contributions to algebraic geometry, number theory, and the theory of Lie groups and algebraic groups.
  • 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: Samuel Eilenberg
Triple: [Saunders Mac Lane, coAuthor, Samuel Eilenberg]
Generated description
Samuel Eilenberg was a Polish-American mathematician renowned for his foundational work in algebraic topology and category theory, including the development of Eilenberg–MacLane spaces and homological algebra.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Samuel Eilenberg
Target entity description: Samuel Eilenberg was a Polish-American mathematician renowned for his foundational work in algebraic topology and category theory, including the development of Eilenberg–MacLane spaces and homological algebra.
  • A. Saunders Mac Lane
    Saunders Mac Lane was an American mathematician best known as a co-founder of category theory and for his influential work in algebra and homological algebra.
  • B. Emil Artin
    Emil Artin was a prominent 20th-century Austrian mathematician renowned for his foundational contributions to algebra, particularly class field theory and Artin reciprocity.
  • C. Hassler Whitney
    Hassler Whitney was an influential American mathematician known for foundational contributions to differential topology and geometry, including work on manifolds, embeddings, and singularities.
  • D. Solomon Lefschetz
    Solomon Lefschetz was a prominent 20th-century mathematician best known for his foundational work in algebraic topology and geometry, including the development of Lefschetz fixed-point theory.
  • E. Claude Chevalley
    Claude Chevalley was a French mathematician renowned for his foundational contributions to algebraic geometry, number theory, and the theory of Lie groups and algebraic groups.
  • 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_69a498d883a48190bfdca525296ef7ee completed March 1, 2026, 7:51 p.m.
NER Named-entity recognition batch_69a4c3361bf08190b3f6bbf82e17685b completed March 1, 2026, 10:52 p.m.
NED1 Entity disambiguation (via context triple) batch_69ace56940408190aeba5a342ae3ab17 completed March 8, 2026, 2:56 a.m.
NEDg Description generation batch_69ace5fb515081908acadef0303b8f6e completed March 8, 2026, 2:59 a.m.
NED2 Entity disambiguation (via description) batch_69ace9ba4b3481908d03636d8f72d04c completed March 8, 2026, 3:15 a.m.
Created at: March 1, 2026, 7:59 p.m.