Triple
T22328564
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Fubini–Study form |
E551964
|
entity |
| Predicate | representsCohomologyClass |
P67470
|
FINISHED |
| Object | first Chern class of O(1) |
—
|
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: first Chern class of O(1) | Statement: [Fubini–Study form, representsCohomologyClass, first Chern class of O(1)]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: representsCohomologyClass Context triple: [Fubini–Study form, representsCohomologyClass, first Chern class of O(1)]
-
A.
definesCohomologyClass
chosen
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
Indicates that a given cohomology class belongs to, or is an element of, a specified cohomology group or subspace.
-
C.
cohomologyType
Indicates the type or classification of a cohomology theory or cohomological structure associated with an object or context.
-
D.
isProjectiveRepresentationOf
Indicates that one mathematical object represents another up to multiplication by scalar factors, preserving structure only up to a projective (rather than strictly linear) equivalence.
-
E.
quotientByLinearEquivalenceGives
Indicates that forming a quotient under a specified linear equivalence relation produces or yields a particular resulting object or 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_69e11e482f788190b78d1588fc26d606 |
completed | April 16, 2026, 5:37 p.m. |
| NER | Named-entity recognition | batch_69f15769fdb48190b84e0c019ab63579 |
completed | April 29, 2026, 12:57 a.m. |
| PD | Predicate disambiguation | batch_69e73004d9e88190bb862319a5aea06b |
completed | April 21, 2026, 8:06 a.m. |
Created at: April 16, 2026, 8:43 p.m.