Triple
T29565537
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Witt group of quadratic forms |
E753152
|
entity |
| Predicate | hasFunctoriality |
P29147
|
FINISHED |
| Object | contravariant in field homomorphisms |
—
|
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: contravariant in field homomorphisms | Statement: [Witt group of quadratic forms, hasFunctoriality, contravariant in field homomorphisms]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: hasFunctoriality Context triple: [Witt group of quadratic forms, hasFunctoriality, contravariant in field homomorphisms]
-
A.
functorialityProperty
chosen
Indicates that a mapping between categories preserves the structure of composition and identity morphisms, behaving consistently with the rules of a functor.
-
B.
associatedFunctor
Indicates that one entity is functionally or conceptually linked to another entity that serves as its corresponding functor.
-
C.
usesFunctor
Indicates that one entity employs or applies a functor to operate on or transform another entity or structure.
-
D.
hasFaithfulCategory
Indicates that one entity is associated with a category functor that is faithful, i.e., it preserves distinct morphisms without identifying them.
-
E.
isAssociativeUpToIsomorphism
Indicates that a binary operation is associative in a structural sense, meaning any two ways of parenthesizing a finite product are related by a canonical isomorphism rather than strict equality.
- 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_69f66d7765208190b87b1cc6d96a151c |
completed | May 2, 2026, 9:32 p.m. |
| PD | Predicate disambiguation | batch_69f66abfdaf08190a55f14c70be6fd4d |
completed | May 2, 2026, 9:21 p.m. |
Created at: April 28, 2026, 5:52 p.m.