Triple
T3214178
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Fibonacci sequence |
E67350
|
entity |
| Predicate | limitOfRatioOfConsecutiveTerms |
P14357
|
FINISHED |
| Object |
golden ratio
The golden ratio is an irrational mathematical constant, approximately 1.618, that appears in geometry, art, nature, and number theory due to its unique proportional properties.
|
E337571
|
NE FINISHED |
How this triple was built (5 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: golden ratio | Statement: [Fibonacci sequence, limitOfRatioOfConsecutiveTerms, golden ratio]
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: golden ratio Context triple: [Fibonacci sequence, limitOfRatioOfConsecutiveTerms, golden ratio]
-
A.
Fibonacci sequence
The Fibonacci sequence is an infinite series of numbers where each term is the sum of the two preceding ones, widely used in mathematics, art, and design due to its connection with the golden ratio and natural growth patterns.
-
B.
the golden one
"The golden one" refers to El Dorado, a legendary figure or city in South American lore believed to be fabulously rich in gold and treasures.
-
C.
GOLD
GOLD is the radio call sign historically used by the British royal yacht HMY Britannia.
-
D.
Pi
Pi is a 1998 psychological thriller film directed by Darren Aronofsky that explores obsession, mathematics, and mysticism through the story of a reclusive number theorist.
-
E.
Section d'Or
Section d'Or was an influential early 20th-century French artistic group that expanded and theorized Cubism, bringing together painters, sculptors, and writers to develop and promote the movement.
- 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: golden ratio Triple: [Fibonacci sequence, limitOfRatioOfConsecutiveTerms, golden ratio]
Generated description
The golden ratio is an irrational mathematical constant, approximately 1.618, that appears in geometry, art, nature, and number theory due to its unique proportional properties.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: golden ratio Target entity description: The golden ratio is an irrational mathematical constant, approximately 1.618, that appears in geometry, art, nature, and number theory due to its unique proportional properties.
-
A.
Fibonacci sequence
The Fibonacci sequence is an infinite series of numbers where each term is the sum of the two preceding ones, widely used in mathematics, art, and design due to its connection with the golden ratio and natural growth patterns.
-
B.
the golden one
"The golden one" refers to El Dorado, a legendary figure or city in South American lore believed to be fabulously rich in gold and treasures.
-
C.
GOLD
GOLD is the radio call sign historically used by the British royal yacht HMY Britannia.
-
D.
Pi
Pi is a 1998 psychological thriller film directed by Darren Aronofsky that explores obsession, mathematics, and mysticism through the story of a reclusive number theorist.
-
E.
Section d'Or
Section d'Or was an influential early 20th-century French artistic group that expanded and theorized Cubism, bringing together painters, sculptors, and writers to develop and promote the movement.
- F. None of above. chosen
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: limitOfRatioOfConsecutiveTerms Context triple: [Fibonacci sequence, limitOfRatioOfConsecutiveTerms, golden ratio]
-
A.
maximumConsecutiveTerms
Indicates the greatest number of terms that can occur in an unbroken, continuous sequence within a given context or structure.
-
B.
finiteAt
Indicates that a function, quantity, or value remains finite (not infinite or undefined) at a specified point or under a given condition.
-
C.
primeNumberTheoremRelation
Indicates the asymptotic relationship between the distribution of prime numbers and the logarithmic growth of integers, as formalized by the prime number theorem.
-
D.
OEIS
Indicates that there is a relationship to the On-Line Encyclopedia of Integer Sequences, typically referencing or identifying a specific integer sequence entry.
-
E.
convergenceProperty
chosen
Indicates that one entity has a convergence-related characteristic or behavior with respect to another entity, such as approaching a limit or stabilizing under repeated application.
- F. None of above.
Provenance (6 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_69ad858ac36c81909962589cd277d6e2 |
completed | March 8, 2026, 2:19 p.m. |
| NER | Named-entity recognition | batch_69adaabd01d48190be0dc610b9987a25 |
completed | March 8, 2026, 4:58 p.m. |
| NED1 | Entity disambiguation (via context triple) | batch_69b26237211c81908cddc4e8d42e497e |
completed | March 12, 2026, 6:50 a.m. |
| NEDg | Description generation | batch_69b264c54c508190be85da879935e7f4 |
completed | March 12, 2026, 7:01 a.m. |
| NED2 | Entity disambiguation (via description) | batch_69b268d60bd0819097194da2e9065947 |
completed | March 12, 2026, 7:18 a.m. |
| PD | Predicate disambiguation | batch_69ad9e09b83881908801d79c3d9254f9 |
completed | March 8, 2026, 4:04 p.m. |
Created at: March 8, 2026, 3:07 p.m.