Triple
T6908916
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Zariski topology |
E159881
|
entity |
| Predicate | closedSubsetsOfAffineSpace |
P74065
|
FINISHED |
| Object | common zero loci of sets of polynomials |
—
|
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: common zero loci of sets of polynomials | Statement: [Zariski topology, closedSubsetsOfAffineSpace, common zero loci of sets of polynomials]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: closedSubsetsOfAffineSpace Context triple: [Zariski topology, closedSubsetsOfAffineSpace, common zero loci of sets of polynomials]
-
A.
cohomologyClassLiesIn
Indicates that a given cohomology class belongs to, or is an element of, a specified cohomology group or subspace.
-
B.
maximalIdealsCorrespondTo
Indicates that there is a correspondence or bijective relationship between maximal ideals in one structure and certain objects or properties in another structure.
-
C.
isClosedSubgroupOf
Indicates that one group is a subgroup of another and is closed in the topological sense within that larger group.
-
D.
trivialRationalPoints
Indicates that the only rational points satisfying the given condition or lying on the given object are the trivial or obvious ones (typically those forced by the structure, such as points at infinity or simple coordinate values).
-
E.
isHolomorphicallyContractible
Indicates that a space can be continuously shrunk to a point through holomorphic maps, preserving complex-analytic structure throughout the contraction.
- 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_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. |
| PDg | Predicate description generation | batch_69c6d8c48ba48190b8d3aa7b8d22816b |
completed | March 27, 2026, 7:21 p.m. |
Created at: March 27, 2026, 2:25 p.m.