Triple
T36468977
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Poincaré metric |
E898491
|
entity |
| Predicate | hasLineElementOnUnitDisk |
P198372
|
FINISHED |
| Object | 4|dz|^2/(1-|z|^2)^2 |
—
|
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: 4|dz|^2/(1-|z|^2)^2 | Statement: [Poincaré metric, hasLineElementOnUnitDisk, 4|dz|^2/(1-|z|^2)^2]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: hasLineElementOnUnitDisk Context triple: [Poincaré metric, hasLineElementOnUnitDisk, 4|dz|^2/(1-|z|^2)^2]
-
A.
liesOnUnitCircle
Indicates that a point is located on the unit circle, meaning its distance from the origin is exactly one.
-
B.
BlaschkeCondition
Indicates that a sequence of points in the unit disk satisfies the Blaschke condition, meaning the sum of their distances from the boundary (1 − |zₙ|) is finite, ensuring convergence of the associated Blaschke product.
-
C.
isHolomorphicallyContractible
Indicates that a space can be continuously shrunk to a point through holomorphic maps, preserving complex-analytic structure throughout the contraction.
-
D.
isHolomorphicOn
Indicates that a complex-valued function is complex differentiable at every point of a specified domain, i.e., holomorphic throughout that region.
-
E.
isOnOuterCircle
Indicates that one entity is positioned on the outer boundary or perimeter of a circular arrangement relative to another entity or reference point.
- 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_69f76e58ebd88190b75d9b169b59d793 |
completed | May 3, 2026, 3:48 p.m. |
| NER | Named-entity recognition | batch_69fedfd913f48190bdcd450980868d9a |
completed | May 9, 2026, 7:18 a.m. |
| PD | Predicate disambiguation | batch_69fedf58c6e88190821a7156054c9086 |
completed | May 9, 2026, 7:16 a.m. |
| PDg | Predicate description generation | batch_69fedfd850ec81909b55f90dc850167e |
completed | May 9, 2026, 7:18 a.m. |
Created at: May 3, 2026, 4:10 p.m.