Triple
T32308410
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Wirtinger derivatives |
E825427
|
entity |
| Predicate | characterizesHolomorphicityBy |
P198316
|
FINISHED |
| Object | holomorphic iff \partial f / \partial \bar{z} = 0 |
—
|
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: holomorphic iff \partial f / \partial \bar{z} = 0 | Statement: [Wirtinger derivatives, characterizesHolomorphicityBy, holomorphic iff \partial f / \partial \bar{z} = 0]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: characterizesHolomorphicityBy
Context triple: [Wirtinger derivatives, characterizesHolomorphicityBy, holomorphic iff \partial f / \partial \bar{z} = 0]
-
A.
isHolomorphicOn
Indicates that a complex-valued function is complex differentiable at every point of a specified domain, i.e., holomorphic throughout that region.
-
B.
isHolomorphicallyContractible
Indicates that a space can be continuously shrunk to a point through holomorphic maps, preserving complex-analytic structure throughout the contraction.
-
C.
isBiholomorphismOf
Indicates that one complex-analytic map is a biholomorphic equivalence between two complex manifolds, i.e., a holomorphic bijection whose inverse is also holomorphic.
-
D.
isComplexificationOf
Indicates that one entity is a more complex or elaborated version derived from another, simpler entity.
-
E.
hasCharacteristicPolynomial
Indicates that one mathematical object (typically a matrix or linear operator) is associated with a specific characteristic polynomial that encodes its eigenvalue-related properties.
- 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_69f3491213b88190a57094d8697a7455 |
completed | April 30, 2026, 12:20 p.m. |
| NER | Named-entity recognition | batch_69fedd5a5f4c8190acce88db56303703 |
completed | May 9, 2026, 7:08 a.m. |
| PD | Predicate disambiguation | batch_69fed910b31c8190ae837163d146738d |
completed | May 9, 2026, 6:49 a.m. |
| PDg | Predicate description generation | batch_69fedd5915588190bd884054e4be0414 |
completed | May 9, 2026, 7:08 a.m. |
Created at: May 1, 2026, 12:45 a.m.