Triple
T6908886
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Chern–Weil theory |
E159880
|
entity |
| Predicate | cohomologyTheory |
P67471
|
FINISHED |
| Object | de Rham cohomology of the base 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: de Rham cohomology of the base manifold | Statement: [Chern–Weil theory, cohomologyTheory, de Rham cohomology of the base manifold]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: cohomologyTheory Context triple: [Chern–Weil theory, cohomologyTheory, de Rham cohomology of the base manifold]
-
A.
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.
-
B.
cohomologyClassLiesIn
chosen
Indicates that a given cohomology class belongs to, or is an element of, a specified cohomology group or subspace.
-
C.
topology
Indicates the structural or spatial arrangement and connectivity pattern among components within a system.
-
D.
EulerCharacteristic
Indicates the topological invariant of a space that equals, in a suitable decomposition, the alternating sum of the counts of its cells (e.g., vertices − edges + faces).
-
E.
isRingTheoreticAnalogueOf
Indicates that one concept in ring theory serves as the structural or conceptual counterpart of another notion from a different mathematical context.
- 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_69c68839ccb88190b4aa5cc1aca3448f |
completed | March 27, 2026, 1:38 p.m. |
| NER | Named-entity recognition | batch_69c6d9be98748190b5cb698e66e3aa42 |
completed | March 27, 2026, 7:25 p.m. |
| PD | Predicate disambiguation | batch_69c6d7b93d688190a297244ce81b67ac |
completed | March 27, 2026, 7:17 p.m. |
Created at: March 27, 2026, 2:25 p.m.