Triple

T15502475
Position Surface form Disambiguated ID Type / Status
Subject Khinchin's constant E378994 entity
Predicate symbol P129 FINISHED
Object K_0
K₀ is the conventional symbol used to denote Khinchin's constant, a mathematical constant that describes the typical geometric mean of the partial quotients in the continued fraction expansions of real numbers.
E1160948 NE FINISHED

How this triple was built (4 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 | Statement: [Khinchin's constant, symbol, K_0]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: K_0
Context triple: [Khinchin's constant, symbol, K_0]
  • A. K_S^0
    K_S^0 is the short-lived neutral kaon, a subatomic meson that participates in weak interactions and exhibits CP-violating behavior.
  • B. K1
    K1, also known as Masherbrum, is a prominent 7,821-meter peak in the Karakoram range of Pakistan and one of the world’s highest mountains.
  • C. K1
    K1 is the first highly accurate marine chronometer built by Larcum Kendall in the 18th century, famous for its role in improving longitude determination at sea.
  • D. The K
    The K is the popular nickname for Kauffman Stadium, the longtime home ballpark of Major League Baseball’s Kansas City Royals.
  • E. K.
    K. is the enigmatic land surveyor protagonist of Franz Kafka’s novel "The Castle," whose futile attempts to gain access to the mysterious authorities embody themes of alienation and bureaucratic absurdity.
  • 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: K_0
Triple: [Khinchin's constant, symbol, K_0]
Generated description
K₀ is the conventional symbol used to denote Khinchin's constant, a mathematical constant that describes the typical geometric mean of the partial quotients in the continued fraction expansions of real numbers.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: K_0
Target entity description: K₀ is the conventional symbol used to denote Khinchin's constant, a mathematical constant that describes the typical geometric mean of the partial quotients in the continued fraction expansions of real numbers.
  • A. K_S^0
    K_S^0 is the short-lived neutral kaon, a subatomic meson that participates in weak interactions and exhibits CP-violating behavior.
  • B. K1
    K1 is the first highly accurate marine chronometer built by Larcum Kendall in the 18th century, famous for its role in improving longitude determination at sea.
  • C. K1
    K1, also known as Masherbrum, is a prominent 7,821-meter peak in the Karakoram range of Pakistan and one of the world’s highest mountains.
  • D. The K
    The K is the popular nickname for Kauffman Stadium, the longtime home ballpark of Major League Baseball’s Kansas City Royals.
  • E. K.
    K. is the enigmatic land surveyor protagonist of Franz Kafka’s novel "The Castle," whose futile attempts to gain access to the mysterious authorities embody themes of alienation and bureaucratic absurdity.
  • F. None of above. chosen

Provenance (5 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.
NED1 Entity disambiguation (via context triple) batch_69ff3669f908819087162b1b8a4e4320 completed May 9, 2026, 1:28 p.m.
NEDg Description generation batch_69ff375856448190a61979dfff751f06 completed May 9, 2026, 1:32 p.m.
NED2 Entity disambiguation (via description) batch_69ff382f1bbc8190810d0d825430f9ea completed May 9, 2026, 1:35 p.m.
Created at: April 10, 2026, 3:54 a.m.