Triple

T4202400
Position Surface form Disambiguated ID Type / Status
Subject Solomon Lefschetz E86097 entity
Predicate notableWork P4 FINISHED
Object Topology
"Topology" is a foundational mathematical text by Solomon Lefschetz that systematically develops the concepts and methods of algebraic topology.
E420797 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: Topology | Statement: [Solomon Lefschetz, notableWork, Topology]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Topology
Context triple: [Solomon Lefschetz, notableWork, Topology]
  • A. Grothendieck topology
    A Grothendieck topology is an abstract framework in category theory that generalizes the notion of open covers in topology to define sheaves on arbitrary categories.
  • B. Topology from the Differentiable Viewpoint
    "Topology from the Differentiable Viewpoint" is a classic introductory monograph on differential topology that presents key concepts such as smooth manifolds, vector bundles, and characteristic classes in a concise and accessible style.
  • C. Topologie (with Heinz Hopf)
    "Topologie" is a foundational 1935 textbook on general topology co-authored by Pavel Alexandrov and Heinz Hopf that helped shape the modern development of the field.
  • D. Morse Theory
    Morse Theory is a branch of differential topology that studies the relationship between the topology of manifolds and the critical points of smooth real-valued functions defined on them.
  • E. Moscow school of topology
    The Moscow school of topology was a prominent mathematical tradition centered in Moscow that made foundational contributions to general and algebraic topology in the 20th century.
  • 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: Topology
Triple: [Solomon Lefschetz, notableWork, Topology]
Generated description
"Topology" is a foundational mathematical text by Solomon Lefschetz that systematically develops the concepts and methods of algebraic topology.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Topology
Target entity description: "Topology" is a foundational mathematical text by Solomon Lefschetz that systematically develops the concepts and methods of algebraic topology.
  • A. Grothendieck topology
    A Grothendieck topology is an abstract framework in category theory that generalizes the notion of open covers in topology to define sheaves on arbitrary categories.
  • B. Topology from the Differentiable Viewpoint
    "Topology from the Differentiable Viewpoint" is a classic introductory monograph on differential topology that presents key concepts such as smooth manifolds, vector bundles, and characteristic classes in a concise and accessible style.
  • C. Topologie (with Heinz Hopf)
    "Topologie" is a foundational 1935 textbook on general topology co-authored by Pavel Alexandrov and Heinz Hopf that helped shape the modern development of the field.
  • D. Morse Theory
    Morse Theory is a branch of differential topology that studies the relationship between the topology of manifolds and the critical points of smooth real-valued functions defined on them.
  • E. Moscow school of topology
    The Moscow school of topology was a prominent mathematical tradition centered in Moscow that made foundational contributions to general and algebraic topology in the 20th century.
  • 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_69aed93b89f48190a31f6d57c760e42f completed March 9, 2026, 2:29 p.m.
NER Named-entity recognition batch_69af037f1de4819088d6bf544317a694 completed March 9, 2026, 5:29 p.m.
NED1 Entity disambiguation (via context triple) batch_69b58a173a78819094915f63c8411602 completed March 14, 2026, 4:17 p.m.
NEDg Description generation batch_69b58e1e7bc08190b75486c74953f609 completed March 14, 2026, 4:34 p.m.
NED2 Entity disambiguation (via description) batch_69b58e7a208481909056b6fba4597bf4 completed March 14, 2026, 4:36 p.m.
Created at: March 9, 2026, 3:49 p.m.