Triple
T22382109
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | U(1) |
E553299
|
entity |
| Predicate | isHomeomorphicTo |
P73738
|
FINISHED |
| Object | 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: S^1 | Statement: [U(1), isHomeomorphicTo, S^1]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: isHomeomorphicTo Context triple: [U(1), isHomeomorphicTo, S^1]
-
A.
homeomorphicTo
chosen
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.
-
B.
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.
-
C.
isIsomorphicTo
Indicates that two structures have a one-to-one, structure-preserving correspondence between their elements, making them equivalent in form even if not identical in content.
-
D.
isLocallyIsomorphicTo
Indicates that two structures are isomorphic within some local neighborhood or restricted region, even if they may differ globally.
-
E.
hasHomomorphism
Indicates that there exists a structure-preserving map (homomorphism) from one mathematical structure to another.
- 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_69e11e4c03248190a26a5060ea6973ee |
completed | April 16, 2026, 5:37 p.m. |
| NER | Named-entity recognition | batch_69f1582cce608190b5324b30f349a3ff |
completed | April 29, 2026, 1 a.m. |
| PD | Predicate disambiguation | batch_69e73015484c8190a9a0b9f554b61a81 |
completed | April 21, 2026, 8:06 a.m. |
Created at: April 16, 2026, 8:45 p.m.