Triple
T21494641
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Fermat surface |
E530319
|
entity |
| Predicate | hasHodgeStructure |
P144612
|
FINISHED |
| Object | pure Hodge structure of weight 2 on H^2 |
—
|
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: pure Hodge structure of weight 2 on H^2 | Statement: [Fermat surface, hasHodgeStructure, pure Hodge structure of weight 2 on H^2]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: hasHodgeStructure Context triple: [Fermat surface, hasHodgeStructure, pure Hodge structure of weight 2 on H^2]
-
A.
hasHodgeNumbers
Indicates that an entity (typically a geometric or algebraic object) is associated with specific Hodge numbers describing its Hodge decomposition or Hodge structure.
-
B.
hasMonodromy
Indicates that one mathematical object exhibits a monodromy action or structure with respect to another (typically along loops in a parameter or base space).
-
C.
hasAnticanonicalEmbedding
Indicates that a variety or geometric object is embedded into projective space via its anticanonical line bundle (i.e., by the complete linear system of the anticanonical divisor).
-
D.
hasMotivicFunction
Indicates that one musical element serves a specific thematic or structural role in relation to a larger motive or passage.
-
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_69e0c45bd15481909fba5910765cdda2 |
completed | April 16, 2026, 11:13 a.m. |
| NER | Named-entity recognition | batch_69e9ea567244819091863350fedae3ae |
completed | April 23, 2026, 9:45 a.m. |
| PD | Predicate disambiguation | batch_69e631f6e68081908f5ee4ce7413803e |
completed | April 20, 2026, 2:02 p.m. |
| PDg | Predicate description generation | batch_69e6386c5a4481909c37f7de7e9fc025 |
completed | April 20, 2026, 2:30 p.m. |
Created at: April 16, 2026, 6:23 p.m.