Triple
T9843639
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Cauchy–Riemann equations |
E239285
|
entity |
| Predicate | wirtingerForm |
P90304
|
FINISHED |
| Object | ∂f/∂z̄ = 0 for holomorphic functions |
—
|
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: ∂f/∂z̄ = 0 for holomorphic functions | Statement: [Cauchy–Riemann equations, wirtingerForm, ∂f/∂z̄ = 0 for holomorphic functions]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: wirtingerForm Context triple: [Cauchy–Riemann equations, wirtingerForm, ∂f/∂z̄ = 0 for holomorphic functions]
-
A.
weakFormDefinition
Indicates that one entity is the definition or specification of another entity expressed in a weak (e.g., variational, distributional, or generalized) mathematical form rather than in its strong or classical form.
-
B.
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.
-
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.
operationalForm
Indicates that one entity is the specific operational or executable form of another, more abstract entity.
-
E.
hasWeierstrassProduct
Indicates that one mathematical object is represented or characterized by a Weierstrass product expansion in terms of another.
- 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_69ca84e3f0c48190ada72a65ebd50efd |
completed | March 30, 2026, 2:12 p.m. |
| NER | Named-entity recognition | batch_69cdb35c8e348190aa090c71bf6f30eb |
completed | April 2, 2026, 12:07 a.m. |
| PD | Predicate disambiguation | batch_69cd03e57cac8190914bb5ae608a6e0e |
completed | April 1, 2026, 11:39 a.m. |
| PDg | Predicate description generation | batch_69cd06ace53081909b5f81f382f6591e |
completed | April 1, 2026, 11:51 a.m. |
Created at: March 30, 2026, 8:33 p.m.