Triple
T6295526
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Lie derivative |
E141121
|
entity |
| Predicate | CartanFormula |
P70764
|
FINISHED |
| Object | L_X = i_X d + d i_X on differential forms |
—
|
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: L_X = i_X d + d i_X on differential forms | Statement: [Lie derivative, CartanFormula, L_X = i_X d + d i_X on differential forms]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: CartanFormula Context triple: [Lie derivative, CartanFormula, L_X = i_X d + d i_X on differential forms]
-
A.
satisfiesJacobiIdentity
Indicates that a given binary operation on elements of an algebraic structure obeys the Jacobi identity, i.e., the specific cyclic sum of nested operations always equals zero.
-
B.
hasLieAlgebra
Indicates that one mathematical structure is associated with, or gives rise to, a specific Lie algebra capturing its infinitesimal or tangent-level structure.
-
C.
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.
-
D.
hasCommutationRelations
Indicates that there exist specific commutation relations governing how two operators or elements combine or reorder with respect to each other.
-
E.
bracketIsAntisymmetric
Indicates that the bracket operation changes sign when its two arguments are swapped, so [x, y] = −[y, x].
- 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_69c008cdf2ac8190bb640c94478fb4ed |
completed | March 22, 2026, 3:20 p.m. |
| NER | Named-entity recognition | batch_69c06439a6908190b0a8ebf426d3ca02 |
completed | March 22, 2026, 9:50 p.m. |
| PD | Predicate disambiguation | batch_69c060df0d8881908215575862ef6831 |
completed | March 22, 2026, 9:36 p.m. |
| PDg | Predicate description generation | batch_69c06284848c8190a0151ff3e8682889 |
completed | March 22, 2026, 9:43 p.m. |
Created at: March 22, 2026, 4:27 p.m.