Triple
T16630386
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Eratosthenes spiral |
E404062
|
entity |
| Predicate | relatedTo |
P37
|
FINISHED |
| Object | prime number spiral |
E86904
|
NE FINISHED |
How this triple was built (2 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: prime number spiral | Statement: [Eratosthenes spiral, relatedTo, prime number spiral]
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: prime number spiral Context triple: [Eratosthenes spiral, relatedTo, prime number spiral]
-
A.
Ulam spiral
chosen
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.
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.
-
C.
Fibonacci spiral
The Fibonacci spiral is a logarithmic spiral that approximates the pattern formed by quarter-circle arcs inscribed in squares whose side lengths follow the Fibonacci sequence, often seen in natural forms like shells and galaxies.
-
D.
Fermat's spiral
Fermat's spiral is a plane curve whose radius grows with the square root of the angle, often used to model naturally occurring spiral patterns such as those in sunflowers and other phyllotactic arrangements.
-
E.
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.
- F. None of above.
- G. Unsure - the case is ambiguous/there is not enough information to decide.
Provenance (3 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_69d883897eb481909eaaa088ba9918d9 |
completed | April 10, 2026, 4:58 a.m. |
| NER | Named-entity recognition | batch_69e378e4db5081908a6085f1bc2d65b8 |
completed | April 18, 2026, 12:28 p.m. |
| NED1 | Entity disambiguation (via context triple) | batch_6a0084b7b94481909dfc0dd7b009a5b4 |
completed | May 10, 2026, 1:14 p.m. |
Created at: April 10, 2026, 5:17 a.m.