Triple

T17752839
Position Surface form Disambiguated ID Type / Status
Subject Gaussian orthogonal ensemble E443153 entity
Predicate edgeEigenvalueDistribution P79797 FINISHED
Object Tracy–Widom distribution for beta equals 1 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: Tracy–Widom distribution for beta equals 1 | Statement: [Gaussian orthogonal ensemble, edgeEigenvalueDistribution, Tracy–Widom distribution for beta equals 1]
PD Predicate disambiguation gpt-5-mini-2025-08-07
Target predicate: edgeEigenvalueDistribution
Context triple: [Gaussian orthogonal ensemble, edgeEigenvalueDistribution, Tracy–Widom distribution for beta equals 1]
  • A. areEigenfunctionsOf
    Indicates that certain functions serve as eigenfunctions corresponding to a specified operator or transformation.
  • B. eigenvaluesCorrespondTo chosen
    Indicates that the eigenvalues are associated in a defined way with another mathematical object or set, such as arising from or matching the spectrum of that object.
  • C. CPEigenstate
    Indicates that a quantum state is an eigenstate of the combined charge-conjugation and parity (CP) symmetry operator, remaining unchanged up to a phase under the CP transformation.
  • D. hasCPApproximateEigenvalue
    Indicates that one entity is an approximate eigenvalue of a completely positive (CP) map or operator associated with another entity.
  • E. spectralTheory
    Indicates the relationship between an operator (or matrix) and the structure of its spectrum—its eigenvalues, eigenvectors, and related spectral properties—typically within a functional-analytic or linear-algebraic 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_69d8b9edf16c8190a59ebd245d378f4f completed April 10, 2026, 8:50 a.m.
NER Named-entity recognition batch_69e4841c0540819093a32d759775c61f completed April 19, 2026, 7:28 a.m.
PD Predicate disambiguation batch_69e3cde9dc288190af0e2198487f2051 completed April 18, 2026, 6:31 p.m.
Created at: April 10, 2026, 10:10 a.m.