Triple
T33579727
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Cartier divisor |
E860118
|
entity |
| Predicate | pullbackWellDefinedIf |
P93929
|
FINISHED |
| Object | morphism is flat or divisor is Cartier |
—
|
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: morphism is flat or divisor is Cartier | Statement: [Cartier divisor, pullbackWellDefinedIf, morphism is flat or divisor is Cartier]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: pullbackWellDefinedIf Context triple: [Cartier divisor, pullbackWellDefinedIf, morphism is flat or divisor is Cartier]
-
A.
canBePulledBackAlong
chosen
Indicates that a structure or object can be transferred or redefined along a given mapping or morphism so that it is compatible with that mapping.
-
B.
isPrincipalBundleOver
Indicates that one mathematical object forms a principal bundle whose base space is the other object.
-
C.
morphismsPreserveBracket
Indicates that the morphisms in question preserve the given bracket operation, meaning they commute with or respect the bracket structure under mapping.
-
D.
isBiholomorphismOf
Indicates that one complex-analytic map is a biholomorphic equivalence between two complex manifolds, i.e., a holomorphic bijection whose inverse is also holomorphic.
-
E.
functorialityProperty
Indicates that a mapping between categories preserves the structure of composition and identity morphisms, behaving consistently with the rules of a functor.
- 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_69f3497d37848190afcbb5ef3f5c7376 |
completed | April 30, 2026, 12:22 p.m. |
| NER | Named-entity recognition | batch_69f6f76f757081909165948fdcb254c7 |
completed | May 3, 2026, 7:21 a.m. |
| PD | Predicate disambiguation | batch_69f6f6632dfc8190af85e258c8519207 |
completed | May 3, 2026, 7:16 a.m. |
Created at: May 1, 2026, 1:40 a.m.