Triple

T1685943
Position Surface form Disambiguated ID Type / Status
Subject Pythagoras E36440 entity
Predicate influenced P9 FINISHED
Object Western mathematics
Western mathematics is the tradition of mathematical thought and practice that developed primarily in Europe and later the Western world, encompassing fields from classical geometry and arithmetic to modern algebra, analysis, and applied mathematics.
E190159 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: Western mathematics | Statement: [Pythagoras, influenced, Western mathematics]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Western mathematics
Context triple: [Pythagoras, influenced, Western mathematics]
  • A. Western civilization
    Western civilization is a broad cultural, intellectual, and political tradition that developed primarily in Europe and later North America, drawing heavily on Greco-Roman heritage, Christianity, and the Enlightenment.
  • B. Islamic mathematics
    Islamic mathematics is the body of mathematical knowledge developed in the Islamic world between the 8th and 15th centuries, notable for major advances in algebra, arithmetic, geometry, and trigonometry that significantly influenced later European mathematics.
  • C. Western philosophy
    Western philosophy is the intellectual tradition that originated in ancient Greece and developed through European thought, encompassing major movements such as rationalism, empiricism, idealism, and existentialism and shaping modern science, politics, ethics, and metaphysics.
  • D. Western Christianity
    Western Christianity is the branch of Christianity that developed in Western Europe, encompassing traditions such as Roman Catholicism and most forms of Protestantism, and is characterized by distinct theological, liturgical, and ecclesiastical practices.
  • E. Western Approaches
    The Western Approaches is the area of the Atlantic Ocean off the western coasts of Britain and Ireland that served as a crucial maritime and naval battleground, especially during the World Wars.
  • 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: Western mathematics
Triple: [Pythagoras, influenced, Western mathematics]
Generated description
Western mathematics is the tradition of mathematical thought and practice that developed primarily in Europe and later the Western world, encompassing fields from classical geometry and arithmetic to modern algebra, analysis, and applied mathematics.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Western mathematics
Target entity description: Western mathematics is the tradition of mathematical thought and practice that developed primarily in Europe and later the Western world, encompassing fields from classical geometry and arithmetic to modern algebra, analysis, and applied mathematics.
  • A. Western civilization
    Western civilization is a broad cultural, intellectual, and political tradition that developed primarily in Europe and later North America, drawing heavily on Greco-Roman heritage, Christianity, and the Enlightenment.
  • B. Islamic mathematics
    Islamic mathematics is the body of mathematical knowledge developed in the Islamic world between the 8th and 15th centuries, notable for major advances in algebra, arithmetic, geometry, and trigonometry that significantly influenced later European mathematics.
  • C. Western philosophy
    Western philosophy is the intellectual tradition that originated in ancient Greece and developed through European thought, encompassing major movements such as rationalism, empiricism, idealism, and existentialism and shaping modern science, politics, ethics, and metaphysics.
  • D. Western Christianity
    Western Christianity is the branch of Christianity that developed in Western Europe, encompassing traditions such as Roman Catholicism and most forms of Protestantism, and is characterized by distinct theological, liturgical, and ecclesiastical practices.
  • E. Western Approaches
    The Western Approaches is the area of the Atlantic Ocean off the western coasts of Britain and Ireland that served as a crucial maritime and naval battleground, especially during the World Wars.
  • 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_69a886151508819084fa7f1ce6e05577 completed March 4, 2026, 7:20 p.m.
NER Named-entity recognition batch_69aa627da0688190bfb5316079bc589a completed March 6, 2026, 5:13 a.m.
NED1 Entity disambiguation (via context triple) batch_69ad71c1b4308190b04fed7ce752b67c completed March 8, 2026, 12:55 p.m.
NEDg Description generation batch_69ad724651e08190a77519ad21c64b23 completed March 8, 2026, 12:57 p.m.
NED2 Entity disambiguation (via description) batch_69ad72c405b081909bff8bf621e9baec completed March 8, 2026, 12:59 p.m.
Created at: March 4, 2026, 7:29 p.m.