Triple

T5338265
Position Surface form Disambiguated ID Type / Status
Subject Hardy–Ramanujan asymptotic formula E123877 entity
Predicate showsBehavior P23475 FINISHED
Object p(n) grows roughly like e^{C\sqrt{n}} for C = \pi\sqrt{2/3} 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: p(n) grows roughly like e^{C\sqrt{n}} for C = \pi\sqrt{2/3} | Statement: [Hardy–Ramanujan asymptotic formula, showsBehavior, p(n) grows roughly like e^{C\sqrt{n}} for C = \pi\sqrt{2/3}]
PD Predicate disambiguation gpt-5-mini-2025-08-07
Target predicate: showsBehavior
Context triple: [Hardy–Ramanujan asymptotic formula, showsBehavior, p(n) grows roughly like e^{C\sqrt{n}} for C = \pi\sqrt{2/3}]
  • A. showsThat
    Indicates that one entity demonstrates, proves, or provides evidence for the truth or validity of another.
  • B. behaviorObserved chosen
    Indicates that a particular behavior or action has been witnessed, recorded, or detected in relation to an entity or context.
  • C. behaviorCode
    Indicates the specific rule, standard, or classification code that governs or characterizes an entity’s behavior in a given context.
  • D. behaviorNear
    Indicates that one entity exhibits a behavior or action in close spatial proximity to another entity.
  • E. showType
    Indicates the category or format in which something is presented or displayed (e.g., type of show, presentation, or display mode).
  • 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_69bd464b07f8819095aa76577c9829e4 completed March 20, 2026, 1:06 p.m.
NER Named-entity recognition batch_69bd85e86edc81908d87933db6489f91 completed March 20, 2026, 5:37 p.m.
PD Predicate disambiguation batch_69bd845a62b081909782863865b257a9 completed March 20, 2026, 5:31 p.m.
Created at: March 20, 2026, 2 p.m.