Triple
T20627346
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Darboux theorem |
E506852
|
entity |
| Predicate | symplecticFormLocalExpression |
P140827
|
FINISHED |
| Object | omega = sum_{i=1}^n dq_i wedge dp_i in Darboux coordinates |
—
|
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: omega = sum_{i=1}^n dq_i wedge dp_i in Darboux coordinates | Statement: [Darboux theorem, symplecticFormLocalExpression, omega = sum_{i=1}^n dq_i wedge dp_i in Darboux coordinates]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: symplecticFormLocalExpression
Context triple: [Darboux theorem, symplecticFormLocalExpression, omega = sum_{i=1}^n dq_i wedge dp_i in Darboux coordinates]
-
A.
CartanFormula
Indicates how a derivation or differential operator acts on a product, expressing the result as a graded Leibniz rule that distributes over the product with appropriate signs.
-
B.
wirtingerForm
Indicates a relationship where an object is expressed or analyzed using the Wirtinger (complex differential) form, typically involving derivatives with respect to complex variables and their conjugates.
-
C.
hasSymbolicForm
Indicates that one entity serves as the symbolic representation or abstract form of another entity.
-
D.
minimalCouplingForm
Indicates that one entity is expressed in a form where its interaction or dependence on another entity is reduced to the simplest or least complex coupling necessary.
-
E.
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.
- 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_69e0b4bd4a0081908d4e97a590a33fb2 |
completed | April 16, 2026, 10:06 a.m. |
| NER | Named-entity recognition | batch_69e6abe645888190b639ebedc5b3041a |
completed | April 20, 2026, 10:42 p.m. |
| PD | Predicate disambiguation | batch_69e5a00c43308190b7ea58d559257e07 |
completed | April 20, 2026, 3:39 a.m. |
| PDg | Predicate description generation | batch_69e5a6a9f3f88190b961db9aca36f7da |
completed | April 20, 2026, 4:08 a.m. |
Created at: April 16, 2026, 11:42 a.m.