Triple

T1483959
Position Surface form Disambiguated ID Type / Status
Subject Look-and-say sequence E29421 entity
Predicate growthConstantName P25809 FINISHED
Object Conway constant
The Conway constant is a mathematical constant approximately equal to 1.303577269, representing the asymptotic growth rate of terms in the look-and-say sequence.
E29421 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: Conway constant | Statement: [Look-and-say sequence, growthConstantName, Conway constant]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Conway constant
Context triple: [Look-and-say sequence, growthConstantName, Conway constant]
  • A. Look-and-say sequence
    The look-and-say sequence is a famous integer sequence where each term is generated by verbally describing the digits of the previous term, studied for its surprising combinatorial and growth properties.
  • B. 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.
  • C. 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.
  • D. Gauss’s constant
    Gauss’s constant is a mathematical constant arising in number theory and complex analysis, particularly in connection with the lemniscate and elliptic functions.
  • E. Fermat number
    A Fermat number is a special type of integer of the form \(F_n = 2^{2^n} + 1\), studied in number theory for its intriguing properties related to primality and constructible polygons.
  • 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: Conway constant
Triple: [Look-and-say sequence, growthConstantName, Conway constant]
Generated description
The Conway constant is a mathematical constant approximately equal to 1.303577269, representing the asymptotic growth rate of terms in the look-and-say sequence.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Conway constant
Target entity description: The Conway constant is a mathematical constant approximately equal to 1.303577269, representing the asymptotic growth rate of terms in the look-and-say sequence.
  • A. Look-and-say sequence chosen
    The look-and-say sequence is a famous integer sequence where each term is generated by verbally describing the digits of the previous term, studied for its surprising combinatorial and growth properties.
  • B. 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.
  • C. 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.
  • D. Gauss’s constant
    Gauss’s constant is a mathematical constant arising in number theory and complex analysis, particularly in connection with the lemniscate and elliptic functions.
  • E. Fermat number
    A Fermat number is a special type of integer of the form \(F_n = 2^{2^n} + 1\), studied in number theory for its intriguing properties related to primality and constructible polygons.
  • F. None of above.
PD Predicate disambiguation gpt-5-mini-2025-08-07
Target predicate: growthConstantName
Context triple: [Look-and-say sequence, growthConstantName, Conway constant]
  • A. growthType
    Indicates the manner or pattern in which something develops or increases over time.
  • B. growthForm
    Indicates the physical structure or habit in which something develops or grows (such as its overall shape, form, or growth pattern).
  • C. reproductionRate
    Indicates the frequency or speed at which an entity produces new offspring or copies of itself over a given time or condition.
  • D. relatedConstant chosen
    Indicates that one entity is a fixed, unchanging value or constant that is associated with or linked to another entity.
  • E. spreadingRateType
    Indicates the manner or category of how quickly or in what way something spreads or propagates.
  • 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_69a498da82e08190ba833330d05f380f completed March 1, 2026, 7:51 p.m.
NER Named-entity recognition batch_69a4c679714c8190ac53630fb49e19c5 completed March 1, 2026, 11:06 p.m.
NED1 Entity disambiguation (via context triple) batch_69ad15b3a8548190b484a15757aee7b1 completed March 8, 2026, 6:22 a.m.
NEDg Description generation batch_69ad16bc23808190ba26aa98764f3186 completed March 8, 2026, 6:27 a.m.
NED2 Entity disambiguation (via description) batch_69ad172912488190b77c77e4e61e0183 completed March 8, 2026, 6:28 a.m.
PD Predicate disambiguation batch_69a4c486eacc81909c272f9bdf50a7c3 completed March 1, 2026, 10:58 p.m.
Created at: March 1, 2026, 8:12 p.m.