Triple
T10773325
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Grothendieck duality |
E254134
|
entity |
| Predicate | usesFunctor |
P95391
|
FINISHED |
| Object | derived direct image functor Rf_* |
—
|
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: derived direct image functor Rf_* | Statement: [Grothendieck duality, usesFunctor, derived direct image functor Rf_*]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: usesFunctor Context triple: [Grothendieck duality, usesFunctor, derived direct image functor Rf_*]
-
A.
usesFunction
Indicates that one entity employs, invokes, or relies on a particular function to perform an operation or achieve a result.
-
B.
functorialityProperty
Indicates that a mapping between categories preserves the structure of composition and identity morphisms, behaving consistently with the rules of a functor.
-
C.
visitorFunction
Indicates a function that is applied to or invoked on each element or node in a structure as part of a visitor-style traversal or processing operation.
-
D.
hasVisitorFunction
Indicates that an entity is associated with a function or method that implements the Visitor pattern to operate on it.
-
E.
usesMethods
Indicates that one entity employs, applies, or relies on specific methods or techniques to perform an action or achieve a result.
- F. None of above. chosen
Provenance (4 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_69d6aa5f54f4819082d0bbcb6f8797e6 |
completed | April 8, 2026, 7:19 p.m. |
| NER | Named-entity recognition | batch_69d7329b27748190bd0e2569c7972fd1 |
completed | April 9, 2026, 5:01 a.m. |
| PD | Predicate disambiguation | batch_69d6f31455648190b5c24690487b1b54 |
completed | April 9, 2026, 12:30 a.m. |
| PDg | Predicate description generation | batch_69d6fa334b8c819082eaf8537084c323 |
completed | April 9, 2026, 1 a.m. |
Created at: April 8, 2026, 9:16 p.m.