Triple
T1818015
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Wheels, Life and Other Mathematical Amusements |
E40478
|
entity |
| Predicate | titleContains |
P3254
|
FINISHED |
| Object |
Mathematical Amusements
"Mathematical Amusements" refers to engaging puzzles, curiosities, and recreational problems that use mathematical ideas for entertainment and exploration rather than formal study.
|
E204923
|
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 Amusements | Statement: [Wheels, Life and Other Mathematical Amusements, titleContains, Mathematical Amusements]
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Mathematical Amusements Context triple: [Wheels, Life and Other Mathematical Amusements, titleContains, 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.
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.
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.
-
D.
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.
-
E.
Mathematical Games
"Mathematical Games" is a long-running Scientific American column by Martin Gardner that popularized recreational mathematics and puzzles for a broad audience.
- 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 Amusements Triple: [Wheels, Life and Other Mathematical Amusements, titleContains, Mathematical Amusements]
Generated description
"Mathematical Amusements" refers to engaging puzzles, curiosities, and recreational problems that use mathematical ideas for entertainment and exploration rather than formal study.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: Mathematical Amusements Target entity description: "Mathematical Amusements" refers to engaging puzzles, curiosities, and recreational problems that use mathematical ideas for entertainment and exploration rather than formal study.
-
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.
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.
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.
-
D.
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.
-
E.
Mathematical Games
"Mathematical Games" is a long-running Scientific American column by Martin Gardner that popularized recreational mathematics and puzzles for a broad audience.
- 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_69a8864526c081908a3a4d74f689e2c5 |
completed | March 4, 2026, 7:21 p.m. |
| NER | Named-entity recognition | batch_69aa65f7b84081909005ce36ef1199db |
completed | March 6, 2026, 5:28 a.m. |
| NED1 | Entity disambiguation (via context triple) | batch_69adbf6019bc81909266b7f03b282f34 |
completed | March 8, 2026, 6:26 p.m. |
| NEDg | Description generation | batch_69adc3557d988190ae04df41e81bc842 |
completed | March 8, 2026, 6:43 p.m. |
| NED2 | Entity disambiguation (via description) | batch_69adc3fadd08819090f9eedb4688cd4a |
completed | March 8, 2026, 6:46 p.m. |
Created at: March 4, 2026, 7:32 p.m.