Triple
T29565549
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Witt group of quadratic forms |
E753152
|
entity |
| Predicate | hasHomomorphismTo |
P69858
|
FINISHED |
| Object | Grothendieck–Witt group |
—
|
NE NERFINISHED |
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: Grothendieck–Witt group | Statement: [Witt group of quadratic forms, hasHomomorphismTo, Grothendieck–Witt group]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: hasHomomorphismTo Context triple: [Witt group of quadratic forms, hasHomomorphismTo, Grothendieck–Witt group]
-
A.
hasHomomorphism
chosen
Indicates that there exists a structure-preserving map (homomorphism) from one mathematical structure to another.
-
B.
hasSubgroupIsomorphicTo
Indicates that one group contains a subgroup that is structurally identical (isomorphic) to another specified group.
-
C.
hasAutomorphismGroupContaining
Indicates that the automorphism group of one mathematical structure includes the other group as a subgroup or component.
-
D.
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.
-
E.
hasAutomorphism
Indicates that there exists a structure-preserving bijection from an entity to itself that maintains all relevant relations and operations.
- 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_69f0ef7fcb4881908a933110adb9bda1 |
completed | April 28, 2026, 5:33 p.m. |
| NER | Named-entity recognition | batch_69f7be53890081909b1d93f30a8f31c6 |
completed | May 3, 2026, 9:29 p.m. |
| PD | Predicate disambiguation | batch_69f7bccacbac8190978976324c67db28 |
completed | May 3, 2026, 9:23 p.m. |
Created at: April 28, 2026, 5:52 p.m.