Triple

T14320675
Position Surface form Disambiguated ID Type / Status
Subject Sir William Rouse Ball E355076 entity
Predicate notableWork P4 FINISHED
Object Mathematical Recreations and Essays
Mathematical Recreations and Essays is a classic book of popular mathematics that explores a wide range of mathematical puzzles, curiosities, and historical topics in an accessible style.
E1093346 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: Mathematical Recreations and Essays | Statement: [Sir William Rouse Ball, notableWork, Mathematical Recreations and Essays]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Mathematical Recreations and Essays
Context triple: [Sir William Rouse Ball, notableWork, Mathematical Recreations and Essays]
  • A. Mathematical Amusements
    "Mathematical Amusements" refers to engaging puzzles, curiosities, and recreational problems that use mathematical ideas for entertainment and exploration rather than formal study.
  • B. Wheels, Life and Other Mathematical Amusements
    Wheels, Life and Other Mathematical Amusements is a collection of Martin Gardner’s recreational mathematics essays exploring puzzles, games, and mathematical curiosities.
  • C. The Colossal Book of Mathematics
    The Colossal Book of Mathematics is a popular anthology by Martin Gardner that collects many of his most engaging recreational mathematics essays, puzzles, and explorations for a general audience.
  • D. Mathematics and the Imagination
    Mathematics and the Imagination is a popular mathematics book that explores fundamental mathematical ideas and their philosophical implications in an accessible, engaging style for general readers.
  • E. Philosophy and Fun of Algebra
    Philosophy and Fun of Algebra is an accessible, imaginative book that introduces algebraic ideas and mathematical thinking to children and lay readers through stories, puzzles, and philosophical reflections.
  • 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: Mathematical Recreations and Essays
Triple: [Sir William Rouse Ball, notableWork, Mathematical Recreations and Essays]
Generated description
Mathematical Recreations and Essays is a classic book of popular mathematics that explores a wide range of mathematical puzzles, curiosities, and historical topics in an accessible style.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Mathematical Recreations and Essays
Target entity description: Mathematical Recreations and Essays is a classic book of popular mathematics that explores a wide range of mathematical puzzles, curiosities, and historical topics in an accessible style.
  • A. Mathematical Amusements
    "Mathematical Amusements" refers to engaging puzzles, curiosities, and recreational problems that use mathematical ideas for entertainment and exploration rather than formal study.
  • B. Wheels, Life and Other Mathematical Amusements
    Wheels, Life and Other Mathematical Amusements is a collection of Martin Gardner’s recreational mathematics essays exploring puzzles, games, and mathematical curiosities.
  • C. The Colossal Book of Mathematics
    The Colossal Book of Mathematics is a popular anthology by Martin Gardner that collects many of his most engaging recreational mathematics essays, puzzles, and explorations for a general audience.
  • D. Mathematics and the Imagination
    Mathematics and the Imagination is a popular mathematics book that explores fundamental mathematical ideas and their philosophical implications in an accessible, engaging style for general readers.
  • E. Philosophy and Fun of Algebra
    Philosophy and Fun of Algebra is an accessible, imaginative book that introduces algebraic ideas and mathematical thinking to children and lay readers through stories, puzzles, and philosophical reflections.
  • 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_69d8278ed42c8190b9f882dcce611347 completed April 9, 2026, 10:26 p.m.
NER Named-entity recognition batch_69de883bf71c8190a9a092a025cf98f0 completed April 14, 2026, 6:32 p.m.
NED1 Entity disambiguation (via context triple) batch_69fd468c4a7c8190951adb28e1d71365 completed May 8, 2026, 2:12 a.m.
NEDg Description generation batch_69fd478e6644819080692fbca8ec6c80 completed May 8, 2026, 2:16 a.m.
NED2 Entity disambiguation (via description) batch_69fd4851528c81909855c0f8484c278e completed May 8, 2026, 2:20 a.m.
Created at: April 10, 2026, 1:13 a.m.