Triple

T23142523
Position Surface form Disambiguated ID Type / Status
Subject graph Laplacian E577498 entity
Predicate isPositiveSemidefinite P151074 FINISHED
Object true 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: true | Statement: [graph Laplacian, isPositiveSemidefinite, true]
PD Predicate disambiguation gpt-5-mini-2025-08-07
Target predicate: isPositiveSemidefinite
Context triple: [graph Laplacian, isPositiveSemidefinite, true]
  • A. isSelfAdjoint
    Indicates that an operator is equal to its own adjoint (conjugate transpose), meaning it has the same effect as its Hermitian transpose in the given inner product space.
  • B. isHermitian
    Indicates that an operator or matrix is equal to its own conjugate transpose, ensuring real eigenvalues and orthogonal eigenvectors.
  • C. isSymmetric
    Indicates that a relationship holds in both directions between two entities, so if it applies from A to B, it also applies from B to A.
  • D. isSkewSymmetric
    Indicates that a relation or matrix changes sign when its arguments or indices are swapped, i.e., R(x, y) = −R(y, x), with all diagonal/self-relations being zero.
  • E. hasEigenvalues
    Indicates that a linear operator or matrix possesses one or more eigenvalues associated with its action on a vector space.
  • F. None of above. chosen

Provenance (4 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_69e245f8e6248190ba3d58e068b4dccb completed April 17, 2026, 2:38 p.m.
NER Named-entity recognition batch_69f18ecb72fc8190a24e8f5756217a36 completed April 29, 2026, 4:53 a.m.
PD Predicate disambiguation batch_69ef89f83b108190aaaa1db6221fc163 completed April 27, 2026, 4:08 p.m.
PDg Predicate description generation batch_69ef9b7494f4819088ae59ea3d0ae8ab completed April 27, 2026, 5:23 p.m.
Created at: April 17, 2026, 4 p.m.