Triple
T7290661
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Weingarten map |
E164383
|
entity |
| Predicate | eigenvalues |
P69698
|
FINISHED |
| Object | principal curvatures |
—
|
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: principal curvatures | Statement: [Weingarten map, eigenvalues, principal curvatures]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: eigenvalues Context triple: [Weingarten map, eigenvalues, principal curvatures]
-
A.
hasCPApproximateEigenvalue
Indicates that one entity is an approximate eigenvalue of a completely positive (CP) map or operator associated with another entity.
-
B.
spectralTheory
chosen
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.
-
C.
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.
-
D.
vector
Indicates that one entity is a vector associated with, representing, or characterizing another entity (such as a quantity with magnitude and direction, or a carrier/representative of something).
-
E.
eve
Indicates a relationship where one entity is the evening or night-time counterpart, phase, or occurrence 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_69c6887a499881909dd23341399c59d8 |
completed | March 27, 2026, 1:39 p.m. |
| NER | Named-entity recognition | batch_69c6eb6d4e308190af6b8c237988d7d8 |
completed | March 27, 2026, 8:41 p.m. |
| PD | Predicate disambiguation | batch_69c6e76c5fbc8190b378830082f11cb0 |
completed | March 27, 2026, 8:24 p.m. |
Created at: March 27, 2026, 3 p.m.