Triple
T33579768
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Picard group |
E860119
|
entity |
| Predicate | cohomologicalDescription |
P154720
|
FINISHED |
| Object | Pic(X) ≅ H^1(X, O_X^×) in the Zariski or étale topology |
—
|
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: Pic(X) ≅ H^1(X, O_X^×) in the Zariski or étale topology | Statement: [Picard group, cohomologicalDescription, Pic(X) ≅ H^1(X, O_X^×) in the Zariski or étale topology]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: cohomologicalDescription Context triple: [Picard group, cohomologicalDescription, Pic(X) ≅ H^1(X, O_X^×) in the Zariski or étale topology]
-
A.
cohomologyType
Indicates the type or classification of a cohomology theory or cohomological structure associated with an object or context.
-
B.
cohomologyUsedFor
Indicates that a concept, method, or result is employed for purposes involving cohomology, such as computing, applying, or analyzing cohomological structures.
-
C.
definesCohomologyClass
Indicates that one mathematical object (such as a cocycle, form, or map) specifies or determines a particular cohomology class in a given cohomology group.
-
D.
cohomologyDegree
Indicates the specific degree in which a cohomology group or cohomological class is taken within a graded cohomological structure.
-
E.
hasCohomologyIsomorphicTo
chosen
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_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.