Triple
T22329081
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | de Rham cohomology |
E551975
|
entity |
| Predicate | cochainComplex |
P147765
|
FINISHED |
| Object | (Ω^*(M), d) |
—
|
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: (Ω^*(M), d) | Statement: [de Rham cohomology, cochainComplex, (Ω^*(M), d)]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: cochainComplex Context triple: [de Rham cohomology, cochainComplex, (Ω^*(M), d)]
-
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.
cohomologyType
Indicates the type or classification of a cohomology theory or cohomological structure associated with an object or context.
-
C.
isComplexificationOf
Indicates that one entity is a more complex or elaborated version derived from another, simpler entity.
-
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.
cofactor
Indicates that one entity functions as a non-protein helper or auxiliary component required for the proper activity of another entity, typically an enzyme or protein.
- 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_69e11e482f788190b78d1588fc26d606 |
completed | April 16, 2026, 5:37 p.m. |
| NER | Named-entity recognition | batch_69f1576ab52c819087563cd778d6bc5e |
completed | April 29, 2026, 12:57 a.m. |
| PD | Predicate disambiguation | batch_69e73004d9e88190bb862319a5aea06b |
completed | April 21, 2026, 8:06 a.m. |
| PDg | Predicate description generation | batch_69e7342ce08c8190bc0a7085f4a952e7 |
completed | April 21, 2026, 8:24 a.m. |
Created at: April 16, 2026, 8:43 p.m.