Triple
T5837238
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Kähler form |
E129501
|
entity |
| Predicate | cohomologyClassLiesIn |
P67471
|
FINISHED |
| Object | H^2(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: H^2(M, ℝ) | Statement: [Kähler form, cohomologyClassLiesIn, H^2(M, ℝ)]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: cohomologyClassLiesIn Context triple: [Kähler form, cohomologyClassLiesIn, H^2(M, ℝ)]
-
A.
isHolomorphicallyContractible
Indicates that a space can be continuously shrunk to a point through holomorphic maps, preserving complex-analytic structure throughout the contraction.
-
B.
hasLieAlgebra
Indicates that one mathematical structure is associated with, or gives rise to, a specific Lie algebra capturing its infinitesimal or tangent-level structure.
-
C.
hasLieAlgebraDimension
Indicates that an algebraic structure is associated with a Lie algebra having a specified vector-space dimension.
-
D.
hasKrullDimension
Indicates that a mathematical structure (typically a ring or scheme) is associated with a specific Krull dimension, measuring the maximal length of chains of its prime ideals.
-
E.
moduliSpacePoint
Indicates that one entity is a point representing an isomorphism class of geometric or algebraic objects in the moduli space associated with the other entity.
- 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_69c0084af79c81908af128ccc29983d0 |
completed | March 22, 2026, 3:18 p.m. |
| NER | Named-entity recognition | batch_69c044ab0a048190b84be40fb13c0f50 |
completed | March 22, 2026, 7:36 p.m. |
| PD | Predicate disambiguation | batch_69c03341e5888190a5f219b6f92cb161 |
completed | March 22, 2026, 6:21 p.m. |
| PDg | Predicate description generation | batch_69c044a9c4f0819081b8c196932883f6 |
completed | March 22, 2026, 7:36 p.m. |
Created at: March 22, 2026, 3:54 p.m.