Triple

T17798371
Position Surface form Disambiguated ID Type / Status
Subject Gaussian symplectic ensemble E444351 entity
Predicate hasSpectralMeasure P79796 FINISHED
Object converges to Wigner semicircle law as N → ∞ 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: converges to Wigner semicircle law as N → ∞ | Statement: [Gaussian symplectic ensemble, hasSpectralMeasure, converges to Wigner semicircle law as N → ∞]
PD Predicate disambiguation gpt-5-mini-2025-08-07
Target predicate: hasSpectralMeasure
Context triple: [Gaussian symplectic ensemble, hasSpectralMeasure, converges to Wigner semicircle law as N → ∞]
  • A. spectralMeasure chosen
    Indicates a relationship where a measure assigns values to sets in a spectrum, typically capturing how a quantity (like probability or mass) is distributed across spectral components.
  • B. hasHaarMeasure
    Indicates that a given mathematical object (typically a topological group or related structure) admits a well-defined Haar measure, i.e., a translation-invariant measure on its measurable subsets.
  • C. hasLebesgueMeasure
    Indicates that a set is assigned a specific value by the Lebesgue measure, representing its "size" in the sense of measure theory.
  • D. spectralProperty
    Indicates a relationship where an entity possesses or is characterized by a specific spectral feature, measurement, or behavior (e.g., in its frequency, wavelength, or energy spectrum).
  • E. hasSpectralChannel
    Indicates that something possesses or is associated with a specific spectral channel or band within an electromagnetic spectrum.
  • 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_69d8b9efe370819095cd219b143ae727 completed April 10, 2026, 8:50 a.m.
NER Named-entity recognition batch_69e487fcfdc8819086f41152860dfe18 completed April 19, 2026, 7:45 a.m.
PD Predicate disambiguation batch_69e3d8de28688190844b65acf6af54e6 completed April 18, 2026, 7:17 p.m.
Created at: April 10, 2026, 10:13 a.m.