Triple
T6801426
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Poincaré duality |
E156194
|
entity |
| Predicate | cohomologyVersion |
P31922
|
FINISHED |
| Object | isomorphism H^{k}(M;R) ≅ H_{n-k}(M;R) |
—
|
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: isomorphism H^{k}(M;R) ≅ H_{n-k}(M;R) | Statement: [Poincaré duality, cohomologyVersion, isomorphism H^{k}(M;R) ≅ H_{n-k}(M;R)]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: cohomologyVersion
Context triple: [Poincaré duality, cohomologyVersion, isomorphism H^{k}(M;R) ≅ H_{n-k}(M;R)]
-
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
Indicates that a given cohomology class belongs to, or is an element of, a specified cohomology group or subspace.
-
C.
exportVersionOf
Indicates that one entity is a version of another specifically created or designated for export (e.g., for external distribution or use).
-
D.
versionOf
chosen
Indicates that one entity is a specific form, edition, or variant derived from or corresponding to another entity.
-
E.
exportVersion
Indicates the specific release or revision identifier of an item as it is prepared for or used in export.
- 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_69c68826e6a48190a3d220b541e639de |
completed | March 27, 2026, 1:37 p.m. |
| NER | Named-entity recognition | batch_69c6d2e595188190a0bb4b595df3adb2 |
completed | March 27, 2026, 6:56 p.m. |
| PD | Predicate disambiguation | batch_69c6d099bf08819089a9f9894d037e74 |
completed | March 27, 2026, 6:46 p.m. |
Created at: March 27, 2026, 2:16 p.m.