Triple
T12797618
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Philip J. Davis |
E305929
|
entity |
| Predicate | notableWork |
P4
|
FINISHED |
| Object |
Spirals: From Theodorus to Chaos
Spirals: From Theodorus to Chaos is a mathematical book by Philip J. Davis that explores the geometry, history, and applications of spiral forms from ancient constructions to modern chaos theory.
|
E1002058
|
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: Spirals: From Theodorus to Chaos | Statement: [Philip J. Davis, notableWork, Spirals: From Theodorus to Chaos]
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Spirals: From Theodorus to Chaos Context triple: [Philip J. Davis, notableWork, Spirals: From Theodorus to Chaos]
-
A.
On Spirals
On Spirals is a mathematical treatise by Archimedes in which he systematically studies the properties and applications of spiral curves, especially the Archimedean spiral.
-
B.
Nature’s Numbers
Nature’s Numbers is a popular science book by mathematician Ian Stewart that explores how mathematical patterns and principles underlie structures and phenomena in the natural world.
-
C.
Euclid's Window: The Story of Geometry from Parallel Lines to Hyperspace
Euclid's Window: The Story of Geometry from Parallel Lines to Hyperspace is a popular science book by Leonard Mlodinow that traces the historical development of geometry from ancient Greece to modern theories of spacetime and higher dimensions.
-
D.
Ulam spiral
The Ulam spiral is a graphical arrangement of the positive integers in a spiral pattern that reveals striking diagonal alignments of prime numbers, suggesting unexpected structure in their distribution.
-
E.
Mysterious Patterns: Finding Fractals in Nature
"Mysterious Patterns: Finding Fractals in Nature" is a popular science book that introduces readers, especially younger audiences, to the concept of fractals through examples and patterns found in the natural world.
- 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: Spirals: From Theodorus to Chaos Triple: [Philip J. Davis, notableWork, Spirals: From Theodorus to Chaos]
Generated description
Spirals: From Theodorus to Chaos is a mathematical book by Philip J. Davis that explores the geometry, history, and applications of spiral forms from ancient constructions to modern chaos theory.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: Spirals: From Theodorus to Chaos Target entity description: Spirals: From Theodorus to Chaos is a mathematical book by Philip J. Davis that explores the geometry, history, and applications of spiral forms from ancient constructions to modern chaos theory.
-
A.
On Spirals
On Spirals is a mathematical treatise by Archimedes in which he systematically studies the properties and applications of spiral curves, especially the Archimedean spiral.
-
B.
Nature’s Numbers
Nature’s Numbers is a popular science book by mathematician Ian Stewart that explores how mathematical patterns and principles underlie structures and phenomena in the natural world.
-
C.
Euclid's Window: The Story of Geometry from Parallel Lines to Hyperspace
Euclid's Window: The Story of Geometry from Parallel Lines to Hyperspace is a popular science book by Leonard Mlodinow that traces the historical development of geometry from ancient Greece to modern theories of spacetime and higher dimensions.
-
D.
Ulam spiral
The Ulam spiral is a graphical arrangement of the positive integers in a spiral pattern that reveals striking diagonal alignments of prime numbers, suggesting unexpected structure in their distribution.
-
E.
Mysterious Patterns: Finding Fractals in Nature
"Mysterious Patterns: Finding Fractals in Nature" is a popular science book that introduces readers, especially younger audiences, to the concept of fractals through examples and patterns found in the natural world.
- 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_69d7bdf366888190a8cccb982606889c |
completed | April 9, 2026, 2:55 p.m. |
| NER | Named-entity recognition | batch_69d96e6db68481909a2ca8da1287f3e0 |
completed | April 10, 2026, 9:41 p.m. |
| NED1 | Entity disambiguation (via context triple) | batch_69f6850d6ebc8190aaffcac09f4b15eb |
completed | May 2, 2026, 11:13 p.m. |
| NEDg | Description generation | batch_69f6863fada48190afe2ff7896a60094 |
completed | May 2, 2026, 11:18 p.m. |
| NED2 | Entity disambiguation (via description) | batch_69f686bcac94819088782273effbb06a |
completed | May 2, 2026, 11:20 p.m. |
Created at: April 9, 2026, 5:30 p.m.