Triple

T22423264
Position Surface form Disambiguated ID Type / Status
Subject Erdős–Stone theorem E554300 entity
Predicate saysAsymptoticallyEquivalentTo P91243 FINISHED
Object edge number of Turán graph T_{χ(H)-1}(n) for non-bipartite H 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: edge number of Turán graph T_{χ(H)-1}(n) for non-bipartite H | Statement: [Erdős–Stone theorem, saysAsymptoticallyEquivalentTo, edge number of Turán graph T_{χ(H)-1}(n) for non-bipartite H]
PD Predicate disambiguation gpt-5-mini-2025-08-07
Target predicate: saysAsymptoticallyEquivalentTo
Context triple: [Erdős–Stone theorem, saysAsymptoticallyEquivalentTo, edge number of Turán graph T_{χ(H)-1}(n) for non-bipartite H]
  • A. hasAsymptotics chosen
    Indicates that one entity describes or determines the asymptotic behavior or growth rate of another entity, typically in a limiting or large-scale sense.
  • B. hasAsymptoticExpansion
    Indicates that one mathematical object serves as the asymptotic expansion approximating another object in a specified limit or regime.
  • C. isLogarithmicallyEquivalentTo
    Indicates that two quantities are equal when compared on a logarithmic scale, differing only by a constant factor in their original (linear) values.
  • D. representsApproximately
    Indicates that one entity serves as an inexact or close-but-not-exact representation or value of another entity.
  • E. equivalentTo
    Indicates that two entities represent the same concept, value, or state, and can be treated as interchangeable in the given context.
  • F. None of above.

Provenance (3 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_69e11e4f2d0c819091aa3558ea2ee630 completed April 16, 2026, 5:37 p.m.
NER Named-entity recognition batch_69f15a2af620819083338127e78137dc completed April 29, 2026, 1:08 a.m.
PD Predicate disambiguation batch_69e8989495bc81909d2699fce5992e28 completed April 22, 2026, 9:44 a.m.
Created at: April 16, 2026, 8:47 p.m.