Triple

T33985406
Position Surface form Disambiguated ID Type / Status
Subject Siegel modular form E871397 entity
Predicate FourierCoefficientsIndexedBy P93936 FINISHED
Object symmetric, semi-positive definite integral matrices 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: symmetric, semi-positive definite integral matrices | Statement: [Siegel modular form, FourierCoefficientsIndexedBy, symmetric, semi-positive definite integral matrices]
PD Predicate disambiguation gpt-5-mini-2025-08-07
Target predicate: FourierCoefficientsIndexedBy
Context triple: [Siegel modular form, FourierCoefficientsIndexedBy, symmetric, semi-positive definite integral matrices]
  • A. isFourierTransformOf
    Indicates that one mathematical function or signal is the Fourier transform representation of another, relating them via decomposition into frequency components.
  • B. coefficientsIn chosen
    Indicates that one entity appears as a coefficient within the mathematical expression or representation of another entity.
  • C. inverseFourierTransform
    Indicates the mathematical operation that converts a frequency-domain representation of a signal or function back into its corresponding time- or spatial-domain form.
  • D. areEigenfunctionsOf
    Indicates that certain functions serve as eigenfunctions corresponding to a specified operator or transformation.
  • E. coefficientProperty
    Indicates a relationship where one entity serves as a coefficient or scalar factor that quantitatively modifies or characterizes another entity or property.
  • 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_69f3499e964c8190b674b03f6f791b4b completed April 30, 2026, 12:22 p.m.
NER Named-entity recognition batch_69f7064e906881909c3186c646145d34 completed May 3, 2026, 8:24 a.m.
PD Predicate disambiguation batch_69f70100ec1c8190a6b97f50e88891f2 completed May 3, 2026, 8:02 a.m.
Created at: May 1, 2026, 1:50 a.m.