Triple

T6858937
Position Surface form Disambiguated ID Type / Status
Subject Wiener–Khinchin theorem E158222 entity
Predicate inverseForm P9300 FINISHED
Object R_X(τ) = ∫_{-∞}^{∞} S_X(f) e^{j2π f τ} df — 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: R_X(τ) = ∫_{-∞}^{∞} S_X(f) e^{j2π f τ} df | Statement: [Wiener–Khinchin theorem, inverseForm, R_X(τ) = ∫_{-∞}^{∞} S_X(f) e^{j2π f τ} df]
PD Predicate disambiguation gpt-5-mini-2025-08-07 
Target predicate: inverseForm
Context triple: [Wiener–Khinchin theorem, inverseForm, R_X(τ) = ∫_{-∞}^{∞} S_X(f) e^{j2π f τ} df]
  • A. alternativeForm
    Indicates that one entity is an alternative version, variant, or representation of another entity.
  • B. verseForm
    Indicates the specific structural or metrical pattern in which a verse or poem is composed.
  • C. inverseImage
    Indicates the mapping from a set of outputs back to all inputs that are related to those outputs under a given function or relation.
  • D. originalForm
    Indicates that one entity is the earlier, source, or initial version from which another entity is derived or transformed.
  • E. reversed chosen
    Indicates that the direction or order of a previously defined relationship or sequence between entities is inverted.
  • 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_69c68830cdbc8190a8301c7a9d9f651a completed March 27, 2026, 1:37 p.m.
NER Named-entity recognition batch_69c6da3ce95081909a424ac04bc7fa07 completed March 27, 2026, 7:27 p.m.
PD Predicate disambiguation batch_69c6d7b168908190b2f7c724b1bc7fc9 completed March 27, 2026, 7:17 p.m.
Created at: March 27, 2026, 2:21 p.m.