Triple
T10641388
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Harish-Chandra isomorphism |
E250729
|
entity |
| Predicate | givesIsomorphismBetween |
P29599
|
FINISHED |
| Object | center of U(g) and S(h)^W |
—
|
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: center of U(g) and S(h)^W | Statement: [Harish-Chandra isomorphism, givesIsomorphismBetween, center of U(g) and S(h)^W]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: givesIsomorphismBetween Context triple: [Harish-Chandra isomorphism, givesIsomorphismBetween, center of U(g) and S(h)^W]
-
A.
isIsomorphicTo
chosen
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.
-
B.
hasHomomorphism
Indicates that there exists a structure-preserving map (homomorphism) from one mathematical structure to another.
-
C.
isLocallyIsomorphicTo
Indicates that two structures are isomorphic within some local neighborhood or restricted region, even if they may differ globally.
-
D.
isCanonicalFormOf
Indicates that one entity is the standard or officially accepted form or representation of another, often more variant, entity.
-
E.
hasEquivalenceRelation
Indicates that there exists an equivalence relation between the entities, meaning they are related in a way that is reflexive, symmetric, and transitive.
- 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_69d6aa5a4c4881908f39be6efe5981e5 |
completed | April 8, 2026, 7:19 p.m. |
| NER | Named-entity recognition | batch_69d6dfcd19648190882380d2c90be486 |
completed | April 8, 2026, 11:07 p.m. |
| PD | Predicate disambiguation | batch_69d6dd83b114819098e84dc658e82d7e |
completed | April 8, 2026, 10:58 p.m. |
Created at: April 8, 2026, 9:05 p.m.