Triple

T1577562
Position Surface form Disambiguated ID Type / Status
Subject Bartel Leendert van der Waerden E33687 entity
Predicate notableWork P4 FINISHED
Object Algebra I
"Algebra I" is a foundational textbook by Bartel Leendert van der Waerden that systematically presents modern abstract algebra and has profoundly influenced algebra education and research.
 E178585 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: Algebra I | Statement: [Bartel Leendert van der Waerden, notableWork, Algebra I]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07 
Target entity: Algebra I
Context triple: [Bartel Leendert van der Waerden, notableWork, Algebra I]
  • A. SLC
    SLC is a collegiate athletic conference in the NCAA Division I primarily comprising universities from the South Central United States.
  • B. SLC
    SLC is the three-letter IATA airport code for Salt Lake City International Airport, a major air travel hub serving Salt Lake City, Utah.
  • C. Inequalities
    "Inequalities" is a classic mathematical monograph by G. H. Hardy (with J. E. Littlewood and G. Pólya) that systematically develops the theory and applications of mathematical inequalities.
  • D. MA 129
    MA 129 is a state highway in Massachusetts that runs east–west through several communities north of Boston, connecting inland towns to the Atlantic coast.
  • E. Principles of Mathematics
    Principles of Mathematics is Bertrand Russell’s foundational work in mathematical logic and the philosophy of mathematics, arguing that mathematics can be derived from purely logical principles.
  • 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: Algebra I
Triple: [Bartel Leendert van der Waerden, notableWork, Algebra I]
Generated description
"Algebra I" is a foundational textbook by Bartel Leendert van der Waerden that systematically presents modern abstract algebra and has profoundly influenced algebra education and research.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07 
Target entity: Algebra I
Target entity description: "Algebra I" is a foundational textbook by Bartel Leendert van der Waerden that systematically presents modern abstract algebra and has profoundly influenced algebra education and research.
  • A. SLC
    SLC is a collegiate athletic conference in the NCAA Division I primarily comprising universities from the South Central United States.
  • B. SLC
    SLC is the three-letter IATA airport code for Salt Lake City International Airport, a major air travel hub serving Salt Lake City, Utah.
  • C. Inequalities
    "Inequalities" is a classic mathematical monograph by G. H. Hardy (with J. E. Littlewood and G. Pólya) that systematically develops the theory and applications of mathematical inequalities.
  • D. MA 129
    MA 129 is a state highway in Massachusetts that runs east–west through several communities north of Boston, connecting inland towns to the Atlantic coast.
  • E. Principles of Mathematics
    Principles of Mathematics is Bertrand Russell’s foundational work in mathematical logic and the philosophy of mathematics, arguing that mathematics can be derived from purely logical principles.
  • 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_69a885f27a4c8190a4622252cdf54c00 completed March 4, 2026, 7:20 p.m.
NER Named-entity recognition batch_69a908d571f081908acec43ff2ef112d completed March 5, 2026, 4:38 a.m.
NED1 Entity disambiguation (via context triple) batch_69ad402e1cc48190bb69628bc63d6f4c completed March 8, 2026, 9:23 a.m.
NEDg Description generation batch_69ad40e7db808190a94dd9932ea8d6c4 completed March 8, 2026, 9:27 a.m.
NED2 Entity disambiguation (via description) batch_69ad417c2ff48190af8e62a015b45c6b completed March 8, 2026, 9:29 a.m.
Created at: March 4, 2026, 7:27 p.m.