Triple
T37475743
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Hurwitz zeta function |
E931273
|
entity |
| Predicate | analyticContinuationDomain |
P42359
|
FINISHED |
| Object | C × (C \ Z_{≤0}) except s = 1 |
—
|
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: C × (C \ Z_{≤0}) except s = 1 | Statement: [Hurwitz zeta function, analyticContinuationDomain, C × (C \ Z_{≤0}) except s = 1]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: analyticContinuationDomain
Context triple: [Hurwitz zeta function, analyticContinuationDomain, C × (C \ Z_{≤0}) except s = 1]
-
A.
canBeAnalyticallyContinuedTo
chosen
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.
analyticity
Indicates that a function or expression is analytic, meaning it is locally given by a convergent power series and is differentiable in a complex-analytic sense on its domain.
-
C.
convergenceRegion
Indicates the spatial or conceptual area within which multiple elements, paths, or processes come together and meet.
-
D.
domainOfZetaFunction
Indicates the set of complex numbers for which the zeta function is defined (i.e., where it is analytic or meaningfully evaluable).
-
E.
fundamentalDomain
Indicates that one entity is a fundamental domain for the action of another (such as a group or transformation), meaning it is a minimal region whose images under that action cover the entire space without overlapping interiors.
- F. None of above.
Provenance (3 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_69f76ec2af148190897d101070d7f415 |
completed | May 3, 2026, 3:50 p.m. |
| NER | Named-entity recognition | batch_69fb8e652328819082cff21f5a1fe709 |
completed | May 6, 2026, 6:54 p.m. |
| PD | Predicate disambiguation | batch_69fb8d0c53c08190b64291bac58cdb4c |
completed | May 6, 2026, 6:48 p.m. |
Created at: May 3, 2026, 4:17 p.m.