Triple
T15918653
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | George Bergman |
E386035
|
entity |
| Predicate | notableWork |
P4
|
FINISHED |
| Object |
The Joy of Factoring
The Joy of Factoring is a mathematics book by George Bergman that explores integer factorization through a wide range of problems, techniques, and insights aimed at both students and enthusiasts.
|
E1182414
|
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: The Joy of Factoring | Statement: [George Bergman, notableWork, The Joy of Factoring]
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: The Joy of Factoring Context triple: [George Bergman, notableWork, The Joy of Factoring]
-
A.
Three Pearls of Number Theory
Three Pearls of Number Theory is a classic mathematical text that presents three elegant and accessible problems in number theory, illustrating deep ideas through simple, beautifully explained examples.
-
B.
Unsolved Problems in Number Theory
*Unsolved Problems in Number Theory* is a classic reference book that surveys a wide range of open questions and conjectures in number theory, often with historical context and extensive bibliographic notes.
-
C.
The Primes
The Primes were an early Detroit vocal group that served as a precursor to The Temptations, featuring future Motown stars including Eddie Kendricks.
-
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.
Legendre’s formula for valuations of factorials
Legendre’s formula for valuations of factorials is a number-theoretic result that expresses the exponent of a prime in the prime factorization of n! as a sum of integer divisions of n by successive powers of that prime.
- 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: The Joy of Factoring Triple: [George Bergman, notableWork, The Joy of Factoring]
Generated description
The Joy of Factoring is a mathematics book by George Bergman that explores integer factorization through a wide range of problems, techniques, and insights aimed at both students and enthusiasts.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: The Joy of Factoring Target entity description: The Joy of Factoring is a mathematics book by George Bergman that explores integer factorization through a wide range of problems, techniques, and insights aimed at both students and enthusiasts.
-
A.
Three Pearls of Number Theory
Three Pearls of Number Theory is a classic mathematical text that presents three elegant and accessible problems in number theory, illustrating deep ideas through simple, beautifully explained examples.
-
B.
Unsolved Problems in Number Theory
*Unsolved Problems in Number Theory* is a classic reference book that surveys a wide range of open questions and conjectures in number theory, often with historical context and extensive bibliographic notes.
-
C.
The Primes
The Primes were an early Detroit vocal group that served as a precursor to The Temptations, featuring future Motown stars including Eddie Kendricks.
-
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.
Legendre’s formula for valuations of factorials
Legendre’s formula for valuations of factorials is a number-theoretic result that expresses the exponent of a prime in the prime factorization of n! as a sum of integer divisions of n by successive powers of that prime.
- 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_69d86da686e4819097cbf3b1fc2d881d |
completed | April 10, 2026, 3:25 a.m. |
| NER | Named-entity recognition | batch_69e1567ff9e48190b73cb101fc3f7b2b |
completed | April 16, 2026, 9:37 p.m. |
| NED1 | Entity disambiguation (via context triple) | batch_69ffb05d1fb481909b42bea774a15c70 |
completed | May 9, 2026, 10:08 p.m. |
| NEDg | Description generation | batch_69ffb0cfac808190b32bb25659603fb4 |
completed | May 9, 2026, 10:10 p.m. |
| NED2 | Entity disambiguation (via description) | batch_69ffb15b987c8190ae9c96f15fc55b27 |
completed | May 9, 2026, 10:12 p.m. |
Created at: April 10, 2026, 4:52 a.m.