Triple
T26254902
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | T : z ↦ z + 1 |
E656690
|
entity |
| Predicate | isBiholomorphismOf |
P160143
|
FINISHED |
| Object | upper half-plane ℍ |
—
|
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 ℍ | Statement: [T : z ↦ z + 1, isBiholomorphismOf, upper half-plane ℍ]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: isBiholomorphismOf Context triple: [T : z ↦ z + 1, isBiholomorphismOf, upper half-plane ℍ]
-
A.
isDiffeomorphicTo
Indicates that there exists a smooth, bijective map between two spaces whose inverse is also smooth, so the spaces are equivalent in the sense of differential topology.
-
B.
isHolomorphicOn
Indicates that a complex-valued function is complex differentiable at every point of a specified domain, i.e., holomorphic throughout that region.
-
C.
isHolomorphicallyContractible
Indicates that a space can be continuously shrunk to a point through holomorphic maps, preserving complex-analytic structure throughout the contraction.
-
D.
isBirationalTo
Indicates that there exists a birational map between two algebraic varieties, meaning they are isomorphic outside lower-dimensional subsets and share the same function field.
-
E.
homeomorphicTo
Indicates that two topological spaces can be continuously deformed into each other via a bijective, continuous map with a continuous inverse, preserving their topological structure.
- 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_69ee5b4d25ac819086acb51184602576 |
completed | April 26, 2026, 6:37 p.m. |
| NER | Named-entity recognition | batch_69f60dcd2e688190b54e36b0ff0d9187 |
completed | May 2, 2026, 2:44 p.m. |
| PD | Predicate disambiguation | batch_69f5f7ff548c8190a23e98c5e66e0bc7 |
completed | May 2, 2026, 1:11 p.m. |
| PDg | Predicate description generation | batch_69f5ffc6268c8190b63f6360ebadab73 |
completed | May 2, 2026, 1:44 p.m. |
Created at: April 26, 2026, 9:08 p.m.