Triple
T17798351
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Gaussian symplectic ensemble |
E444351
|
entity |
| Predicate | hasProbabilityDensityOnMatrices |
P74406
|
FINISHED |
| Object | proportional to exp(- (β/2) Tr H^2 ) with β = 4 |
—
|
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: proportional to exp(- (β/2) Tr H^2 ) with β = 4 | Statement: [Gaussian symplectic ensemble, hasProbabilityDensityOnMatrices, proportional to exp(- (β/2) Tr H^2 ) with β = 4]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: hasProbabilityDensityOnMatrices Context triple: [Gaussian symplectic ensemble, hasProbabilityDensityOnMatrices, proportional to exp(- (β/2) Tr H^2 ) with β = 4]
-
A.
hasProbabilityDensityShape
chosen
Indicates that one entity exhibits, is characterized by, or is associated with a particular shape or form of a probability density function.
-
B.
jointEigenvalueDensity
Indicates the relationship that assigns a probability density to each possible combination of eigenvalues considered jointly, rather than individually.
-
C.
numberOfIndependentMatrices
Indicates the count of matrices in a set that are linearly independent from each other.
-
D.
hasMatrixType
Indicates that an entity is associated with or characterized by a specific type or category of matrix.
-
E.
hasMatrixOperations
Indicates that an entity supports or provides functionality for performing matrix-related operations.
- 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.