Triple
T21953456
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | universal enveloping algebra |
E542123
|
entity |
| Predicate | associatedGradedAlgebra |
P62051
|
FINISHED |
| Object | symmetric algebra of the Lie algebra |
—
|
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: symmetric algebra of the Lie algebra | Statement: [universal enveloping algebra, associatedGradedAlgebra, symmetric algebra of the Lie algebra]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: associatedGradedAlgebra Context triple: [universal enveloping algebra, associatedGradedAlgebra, symmetric algebra of the Lie algebra]
-
A.
associatedGradedIs
chosen
Indicates that one mathematical object is the associated graded object (e.g., graded structure derived from a filtration) of another.
-
B.
generatedAsQAlgebraBy
Indicates that something is produced or derived through a specific QA (question-answering) algebraic process or construction.
-
C.
hasLieAlgebra
Indicates that one mathematical structure is associated with, or gives rise to, a specific Lie algebra capturing its infinitesimal or tangent-level structure.
-
D.
associatedQuadraticForm
Indicates that one mathematical object (such as a bilinear form, matrix, or linear operator) is linked to or determines a specific quadratic form derived from it.
-
E.
isRingTheoreticAnalogueOf
Indicates that one concept in ring theory serves as the structural or conceptual counterpart of another notion from a different mathematical context.
- 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_69e0c47ef0e48190a50e1bcc43f4b3fd |
completed | April 16, 2026, 11:14 a.m. |
| NER | Named-entity recognition | batch_69f1243dfb4081909bc7a722843ffea7 |
completed | April 28, 2026, 9:18 p.m. |
| PD | Predicate disambiguation | batch_69e6f601f2188190893bcdde0cf58ad6 |
completed | April 21, 2026, 3:58 a.m. |
Created at: April 16, 2026, 7:59 p.m.