Triple
T23142543
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | graph Laplacian |
E577498
|
entity |
| Predicate | eigenvaluesCalled |
P79797
|
FINISHED |
| Object | graph spectrum |
—
|
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: graph spectrum | Statement: [graph Laplacian, eigenvaluesCalled, graph spectrum]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: eigenvaluesCalled Context triple: [graph Laplacian, eigenvaluesCalled, graph spectrum]
-
A.
hasEigenvalues
Indicates that a linear operator or matrix possesses one or more eigenvalues associated with its action on a vector space.
-
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.
areEigenfunctionsOf
Indicates that certain functions serve as eigenfunctions corresponding to a specified operator or transformation.
-
D.
eigenvalueStatistics
Indicates that one entity characterizes or provides information about the distribution or behavior of the eigenvalues associated with another entity.
-
E.
hasCPApproximateEigenvalue
Indicates that one entity is an approximate eigenvalue of a completely positive (CP) map or operator associated with another entity.
- 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_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. |
Created at: April 17, 2026, 4 p.m.