Triple
T36640632
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | symmetric group S5 |
E904572
|
entity |
| Predicate | hasSignHomomorphism |
P69858
|
FINISHED |
| Object | onto cyclic group of order 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: onto cyclic group of order 2 | Statement: [symmetric group S5, hasSignHomomorphism, onto cyclic group of order 2]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: hasSignHomomorphism Context triple: [symmetric group S5, hasSignHomomorphism, onto cyclic group of order 2]
-
A.
hasHomomorphism
chosen
Indicates that there exists a structure-preserving map (homomorphism) from one mathematical structure to another.
-
B.
hasAutomorphism
Indicates that there exists a structure-preserving bijection from an entity to itself that maintains all relevant relations and operations.
-
C.
hasHomotopyGroup
Indicates that one topological space has a specified homotopy group (of a given degree) related to its structure of continuous deformations.
-
D.
hasAutomorphismGroupContaining
Indicates that the automorphism group of one mathematical structure includes the other group as a subgroup or component.
-
E.
hasCohomologyIsomorphicTo
Indicates that the cohomology groups (with their algebraic structure) of one object are isomorphic to those of another object.
- 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_69f76e6c63e48190b1d0c3a79a6c7406 |
completed | May 3, 2026, 3:49 p.m. |
| NER | Named-entity recognition | batch_69fe349879848190bcd77e3cc3470458 |
completed | May 8, 2026, 7:08 p.m. |
| PD | Predicate disambiguation | batch_69fe31e3cf908190b23ebc2f7fe58722 |
completed | May 8, 2026, 6:56 p.m. |
Created at: May 3, 2026, 4:11 p.m.