Triple
T32258601
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Riemann xi function |
E824087
|
entity |
| Predicate | analyticity |
P173892
|
FINISHED |
| Object | entire on the complex plane |
—
|
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: entire on the complex plane | Statement: [Riemann xi function, analyticity, entire on the complex plane]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: analyticity Context triple: [Riemann xi function, analyticity, entire on the complex plane]
-
A.
canBeAnalyticallyContinuedTo
Indicates that one mathematical object (typically a function) can be extended beyond its original domain in a consistent, analytic way that preserves its defining properties.
-
B.
hasRealAnalyticStructure
Indicates that an object (such as a manifold or space) is equipped with a structure whose transition maps or defining functions are real-analytic, i.e., locally given by convergent power series in real variables.
-
C.
symbolInComplexAnalysis
Indicates that a given symbol is used specifically within the context or notation of complex analysis.
-
D.
isRealAnalyticOn
Indicates that a function is real-analytic (i.e., locally given by a convergent power series) on the specified domain or set.
-
E.
analyzes
Indicates that one entity systematically examines or evaluates another entity to understand its nature, structure, or components.
- 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_69f3490db0748190bfef6e50c95d39d3 |
completed | April 30, 2026, 12:20 p.m. |
| NER | Named-entity recognition | batch_69f6bc5652e08190b519631b7d497e75 |
completed | May 3, 2026, 3:09 a.m. |
| PD | Predicate disambiguation | batch_69f6b632cf788190a3d0c08cd026b84b |
completed | May 3, 2026, 2:42 a.m. |
| PDg | Predicate description generation | batch_69f6b960ca4081909a77690c2b122f5e |
completed | May 3, 2026, 2:56 a.m. |
Created at: May 1, 2026, 12:41 a.m.