Triple
T26254160
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | modular j-invariant |
E656674
|
entity |
| Predicate | holomorphicOn |
P71176
|
FINISHED |
| Object | upper half-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: upper half-plane | Statement: [modular j-invariant, holomorphicOn, upper half-plane]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: holomorphicOn Context triple: [modular j-invariant, holomorphicOn, upper half-plane]
-
A.
isHolomorphicOn
chosen
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.
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.
-
D.
isDistanceDecreasingUnderHolomorphicMaps
Indicates that under holomorphic (complex analytic) maps, the distance between points does not increase and in certain contexts strictly decreases, reflecting a contraction-like behavior with respect to an appropriate metric.
-
E.
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.
- 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_69ee5b4d25ac819086acb51184602576 |
completed | April 26, 2026, 6:37 p.m. |
| NER | Named-entity recognition | batch_69f60dcc29cc81908880bd825cb12141 |
completed | May 2, 2026, 2:44 p.m. |
| PD | Predicate disambiguation | batch_69f5f7ff548c8190a23e98c5e66e0bc7 |
completed | May 2, 2026, 1:11 p.m. |
Created at: April 26, 2026, 9:08 p.m.