Triple

T15502497
Position Surface form Disambiguated ID Type / Status
Subject Khinchin's constant E378994 entity
Predicate limitExpression P118901 FINISHED
Object K_0 = lim_{n→∞} (a_1 a_2 … a_n)^{1/n} for almost all real numbers with continued fraction partial quotients a_k LITERAL 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: K_0 = lim_{n→∞} (a_1 a_2 … a_n)^{1/n} for almost all real numbers with continued fraction partial quotients a_k | Statement: [Khinchin's constant, limitExpression, K_0 = lim_{n→∞} (a_1 a_2 … a_n)^{1/n} for almost all real numbers with continued fraction partial quotients a_k]
PD Predicate disambiguation gpt-5-mini-2025-08-07
Target predicate: limitExpression
Context triple: [Khinchin's constant, limitExpression, K_0 = lim_{n→∞} (a_1 a_2 … a_n)^{1/n} for almost all real numbers with continued fraction partial quotients a_k]
  • A. boundaryExpression
    Indicates a limiting or constraining condition that defines the allowable range, scope, or behavior of something within a system or context.
  • B. limitaCon
    Indicates that one entity imposes a restriction, constraint, or limit on another entity or its behavior.
  • C. limitsDefinitionTo
    Indicates that one entity constrains or narrows the scope of how another entity is defined or interpreted.
  • D. rangeRestrictedTo
    Indicates that the possible values or targets of a relation are constrained to lie within a specified set or type.
  • E. definesLimitOf
    Indicates that one entity specifies or establishes the maximum or boundary condition applicable to another entity.
  • F. None of above. chosen

Provenance (4 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_69d85cd53a7c819080f5b9042c4c199e completed April 10, 2026, 2:13 a.m.
NER Named-entity recognition batch_69e03fcc5bb88190b8a9a81419a9a38b completed April 16, 2026, 1:47 a.m.
PD Predicate disambiguation batch_69ded2896a9c8190a8b9627deb3c17b4 completed April 14, 2026, 11:49 p.m.
PDg Predicate description generation batch_69ded57165288190979b7acb71ad5145 completed April 15, 2026, 12:01 a.m.
Created at: April 10, 2026, 3:54 a.m.