Triple
T6236656
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Laplace operator |
E139493
|
entity |
| Predicate | spectralTheory |
P69698
|
FINISHED |
| Object | eigenvalues form the Laplacian 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: eigenvalues form the Laplacian spectrum | Statement: [Laplace operator, spectralTheory, eigenvalues form the Laplacian spectrum]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: spectralTheory Context triple: [Laplace operator, spectralTheory, eigenvalues form the Laplacian spectrum]
-
A.
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).
-
B.
VoroninUniversality
Indicates that a function or object exhibits Voronin universality, meaning its values approximate those of a wide class of analytic functions arbitrarily well on certain domains.
-
C.
spectralResolution
Indicates the fineness with which a system can distinguish or separate different wavelengths or frequencies within a spectrum.
-
D.
mathematicalSubjectClassification
Indicates that one entity classifies the mathematical subject area or field to which another entity (such as a work, concept, or topic) belongs.
-
E.
symbolInComplexAnalysis
Indicates that a given symbol is used specifically within the context or notation of complex analysis.
- 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_69c008b0e7ac8190808a59573ee646f3 |
completed | March 22, 2026, 3:20 p.m. |
| NER | Named-entity recognition | batch_69c063021258819093a9237041816638 |
completed | March 22, 2026, 9:45 p.m. |
| PD | Predicate disambiguation | batch_69c05601de6481909d0880048fd7b49a |
completed | March 22, 2026, 8:50 p.m. |
| PDg | Predicate description generation | batch_69c05707d5408190a1d0fd80414ad957 |
completed | March 22, 2026, 8:54 p.m. |
Created at: March 22, 2026, 4:23 p.m.