Triple
T36876572
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Godbillon–Vey invariant |
E911357
|
entity |
| Predicate | targetCohomologyGroup |
P161781
|
FINISHED |
| Object | third real cohomology group of the manifold |
—
|
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: third real cohomology group of the manifold | Statement: [Godbillon–Vey invariant, targetCohomologyGroup, third real cohomology group of the manifold]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: targetCohomologyGroup Context triple: [Godbillon–Vey invariant, targetCohomologyGroup, third real cohomology group of the manifold]
-
A.
lastCohomology
Indicates that one entity is the final (highest-degree) cohomology group or class associated with another entity in a given cohomological context.
-
B.
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.
-
C.
cohomologyDegree
chosen
Indicates the specific degree in which a cohomology group or cohomological class is taken within a graded cohomological structure.
-
D.
cohomologyType
Indicates the type or classification of a cohomology theory or cohomological structure associated with an object or context.
-
E.
homologyGroupH_2
Indicates that the second homology group (H₂) is being taken, capturing 2-dimensional holes or cycles in a topological space or related structure.
- 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_69f76e82339881909607a65c0503d941 |
completed | May 3, 2026, 3:49 p.m. |
| NER | Named-entity recognition | batch_69ff1d85441c8190931e758685a269f7 |
completed | May 9, 2026, 11:41 a.m. |
| PD | Predicate disambiguation | batch_69ff1d186cc48190b315c61e23de6551 |
completed | May 9, 2026, 11:40 a.m. |
Created at: May 3, 2026, 4:13 p.m.