Triple

T308281
Position Surface form Disambiguated ID Type / Status
Subject Martin Gardner E6349 entity
Predicate notableWork P4 FINISHED
Object 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.
E40478 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: Wheels, Life and Other Mathematical Amusements | Statement: [Martin Gardner, notableWork, Wheels, Life and Other Mathematical Amusements]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Wheels, Life and Other Mathematical Amusements
Context triple: [Martin Gardner, notableWork, Wheels, Life and Other Mathematical Amusements]
  • A. Mathematical Carnival
    Mathematical Carnival is a popular collection of Martin Gardner’s recreational mathematics essays, featuring puzzles, paradoxes, and mathematical curiosities originally presented in his Scientific American column.
  • B. Mathematical Circus
    Mathematical Circus is a popular collection of recreational mathematics puzzles and essays by Martin Gardner, showcasing his playful and insightful approach to mathematical curiosities.
  • C. Mathematical Games
    "Mathematical Games" is a long-running Scientific American column by Martin Gardner that popularized recreational mathematics and puzzles for a broad audience.
  • D. Winning Ways for your Mathematical Plays
    Winning Ways for your Mathematical Plays is a multi-volume book on combinatorial game theory that popularizes and systematically explores mathematical games and their underlying structures.
  • E. Mathematical Magic Show
    Mathematical Magic Show is a popular book by Martin Gardner that presents a collection of mathematically based puzzles, tricks, and recreations designed to reveal the surprising and entertaining side of mathematics.
  • 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: Wheels, Life and Other Mathematical Amusements
Triple: [Martin Gardner, notableWork, Wheels, Life and Other Mathematical Amusements]
Generated description
Wheels, Life and Other Mathematical Amusements is a collection of Martin Gardner’s recreational mathematics essays exploring puzzles, games, and mathematical curiosities.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Wheels, Life and Other Mathematical Amusements
Target entity description: Wheels, Life and Other Mathematical Amusements is a collection of Martin Gardner’s recreational mathematics essays exploring puzzles, games, and mathematical curiosities.
  • A. Mathematical Carnival
    Mathematical Carnival is a popular collection of Martin Gardner’s recreational mathematics essays, featuring puzzles, paradoxes, and mathematical curiosities originally presented in his Scientific American column.
  • B. Mathematical Circus
    Mathematical Circus is a popular collection of recreational mathematics puzzles and essays by Martin Gardner, showcasing his playful and insightful approach to mathematical curiosities.
  • C. Mathematical Games
    "Mathematical Games" is a long-running Scientific American column by Martin Gardner that popularized recreational mathematics and puzzles for a broad audience.
  • D. Winning Ways for your Mathematical Plays
    Winning Ways for your Mathematical Plays is a multi-volume book on combinatorial game theory that popularizes and systematically explores mathematical games and their underlying structures.
  • E. Mathematical Magic Show
    Mathematical Magic Show is a popular book by Martin Gardner that presents a collection of mathematically based puzzles, tricks, and recreations designed to reveal the surprising and entertaining side of mathematics.
  • 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_69a2e79230508190b912ecb555aae17e completed Feb. 28, 2026, 1:03 p.m.
NER Named-entity recognition batch_69a2ea3289608190a36c20a47761c6e4 completed Feb. 28, 2026, 1:14 p.m.
NED1 Entity disambiguation (via context triple) batch_69a3c415f83c8190b95755f23faae026 completed March 1, 2026, 4:44 a.m.
NEDg Description generation batch_69a3c4a50d0c819086ab22f9a46b953a completed March 1, 2026, 4:46 a.m.
NED2 Entity disambiguation (via description) batch_69a3c530f6a48190aeb056a38e417313 completed March 1, 2026, 4:48 a.m.
Created at: Feb. 28, 2026, 1:06 p.m.