Triple

T17396909
Position Surface form Disambiguated ID Type / Status
Subject Norman Steenrod E422977 entity
Predicate notableWork P4 FINISHED
Object Foundations of Algebraic Topology
Foundations of Algebraic Topology is a classic graduate-level textbook by Norman Steenrod that systematically develops the fundamental concepts and tools of algebraic topology.
 E1266750 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: Foundations of Algebraic Topology | Statement: [Norman Steenrod, notableWork, Foundations of Algebraic Topology]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07 
Target entity: Foundations of Algebraic Topology
Context triple: [Norman Steenrod, notableWork, Foundations of Algebraic Topology]
  • A. "Algebraic Topology"
    "Algebraic Topology" is a foundational mathematical text that develops topological concepts using algebraic methods such as homology and cohomology theories.
  • B. Classifying Spaces and Fibrations
    "Classifying Spaces and Fibrations" is a mathematical work that develops the theory of classifying spaces in algebraic topology and their relationship to fiber bundles and fibrations.
  • C. Foundations of Combinatorial Topology
    Foundations of Combinatorial Topology is a seminal mathematical monograph by Lev Pontryagin that systematically develops the methods and results of early 20th-century combinatorial (algebraic) topology.
  • D. Differential Forms in Algebraic Topology
    Differential Forms in Algebraic Topology is a foundational graduate-level textbook that develops algebraic topology using the language of differential forms, bridging differential geometry and topological methods.
  • E. Alexandrov–Čech cohomology
    Alexandrov–Čech cohomology is a topological cohomology theory that computes invariants of spaces using inverse limits over open covers, closely related to and often coinciding with sheaf cohomology.
  • 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: Foundations of Algebraic Topology
Triple: [Norman Steenrod, notableWork, Foundations of Algebraic Topology]
Generated description
Foundations of Algebraic Topology is a classic graduate-level textbook by Norman Steenrod that systematically develops the fundamental concepts and tools of algebraic topology.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07 
Target entity: Foundations of Algebraic Topology
Target entity description: Foundations of Algebraic Topology is a classic graduate-level textbook by Norman Steenrod that systematically develops the fundamental concepts and tools of algebraic topology.
  • A. "Algebraic Topology"
    "Algebraic Topology" is a foundational mathematical text that develops topological concepts using algebraic methods such as homology and cohomology theories.
  • B. Classifying Spaces and Fibrations
    "Classifying Spaces and Fibrations" is a mathematical work that develops the theory of classifying spaces in algebraic topology and their relationship to fiber bundles and fibrations.
  • C. Foundations of Combinatorial Topology
    Foundations of Combinatorial Topology is a seminal mathematical monograph by Lev Pontryagin that systematically develops the methods and results of early 20th-century combinatorial (algebraic) topology.
  • D. Differential Forms in Algebraic Topology
    Differential Forms in Algebraic Topology is a foundational graduate-level textbook that develops algebraic topology using the language of differential forms, bridging differential geometry and topological methods.
  • E. Alexandrov–Čech cohomology
    Alexandrov–Čech cohomology is a topological cohomology theory that computes invariants of spaces using inverse limits over open covers, closely related to and often coinciding with sheaf cohomology.
  • 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_69d889d710288190bf0f4762801fefae completed April 10, 2026, 5:25 a.m.
NER Named-entity recognition batch_69e43abd9b748190bd55c863276d9e3a completed April 19, 2026, 2:15 a.m.
NED1 Entity disambiguation (via context triple) batch_6a01a00100c48190930c8bf9b6917aa5 completed May 11, 2026, 9:23 a.m.
NEDg Description generation batch_6a01a176d2488190951bbe07233a37e4 completed May 11, 2026, 9:29 a.m.
NED2 Entity disambiguation (via description) batch_6a01a58b12088190828078c69c4fff4b completed May 11, 2026, 9:46 a.m.
Created at: April 10, 2026, 5:45 a.m.