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.