Triple
T3987367
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Ulam spiral |
E86904
|
entity |
| Predicate | relatedConcept |
P37
|
FINISHED |
| Object |
Eratosthenes spiral
The Eratosthenes spiral is a geometric visualization of prime numbers generated by the sieve of Eratosthenes, arranging integers in a spiral so that primes form distinctive radial patterns.
|
E404062
|
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: Eratosthenes spiral | Statement: [Ulam spiral, relatedConcept, Eratosthenes spiral]
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Eratosthenes spiral Context triple: [Ulam spiral, relatedConcept, Eratosthenes spiral]
-
A.
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.
-
B.
Archimedes' spiral
Archimedes' spiral is a classical mathematical curve that winds outward from a fixed point at a constant rate as it revolves around that point.
-
C.
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.
-
D.
Lyapunov fractal
The Lyapunov fractal is a complex, self-similar pattern arising from iterating logistic maps with periodically varying parameters, used to visualize stability and chaos in dynamical systems.
-
E.
Ulam sequence
The Ulam sequence is an integer sequence starting with 1 and 2 in which each subsequent term is the smallest integer that can be written uniquely as the sum of two distinct earlier terms.
- 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: Eratosthenes spiral Triple: [Ulam spiral, relatedConcept, Eratosthenes spiral]
Generated description
The Eratosthenes spiral is a geometric visualization of prime numbers generated by the sieve of Eratosthenes, arranging integers in a spiral so that primes form distinctive radial patterns.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: Eratosthenes spiral Target entity description: The Eratosthenes spiral is a geometric visualization of prime numbers generated by the sieve of Eratosthenes, arranging integers in a spiral so that primes form distinctive radial patterns.
-
A.
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.
-
B.
Archimedes' spiral
Archimedes' spiral is a classical mathematical curve that winds outward from a fixed point at a constant rate as it revolves around that point.
-
C.
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.
-
D.
Lyapunov fractal
The Lyapunov fractal is a complex, self-similar pattern arising from iterating logistic maps with periodically varying parameters, used to visualize stability and chaos in dynamical systems.
-
E.
Ulam sequence
The Ulam sequence is an integer sequence starting with 1 and 2 in which each subsequent term is the smallest integer that can be written uniquely as the sum of two distinct earlier terms.
- 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_69aed93fd9d4819085d3b2137d2346cb |
completed | March 9, 2026, 2:29 p.m. |
| NER | Named-entity recognition | batch_69aef9ff54708190be56f48569ce97a4 |
completed | March 9, 2026, 4:49 p.m. |
| NED1 | Entity disambiguation (via context triple) | batch_69b5402f72e8819097ce951aac465dc8 |
completed | March 14, 2026, 11:02 a.m. |
| NEDg | Description generation | batch_69b54111e5188190ab8ec23124c22981 |
completed | March 14, 2026, 11:05 a.m. |
| NED2 | Entity disambiguation (via description) | batch_69b54195261c8190a155b3c0469b0a35 |
completed | March 14, 2026, 11:08 a.m. |
Created at: March 9, 2026, 3:33 p.m.