Triple
T33985430
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Siegel modular form |
E871397
|
entity |
| Predicate | hasHeckeAction |
P194270
|
FINISHED |
| Object | Hecke operators for Sp(2g,ℤ) |
—
|
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: Hecke operators for Sp(2g,ℤ) | Statement: [Siegel modular form, hasHeckeAction, Hecke operators for Sp(2g,ℤ)]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: hasHeckeAction Context triple: [Siegel modular form, hasHeckeAction, Hecke operators for Sp(2g,ℤ)]
-
A.
isGaloisEquivariant
Indicates that a map or structure is compatible with a given Galois group action, i.e., it commutes with the action of all Galois automorphisms.
-
B.
hasHodgeStructure
Indicates that one mathematical object is endowed with, or related to another via, a Hodge structure defining its decomposition into Hodge components.
-
C.
hasCartanInvolution
Indicates that one mathematical object (typically a Lie group or Lie algebra) possesses a specific Cartan involution, i.e., an involutive automorphism satisfying the Cartan conditions for that structure.
-
D.
hasRepresentationTheoryProperty
Indicates that a mathematical object’s representation theory satisfies a specified property or condition.
-
E.
IwasawaDecomposition
Indicates that a group element is expressed as a product of elements from its Iwasawa components (typically a maximal compact subgroup, a maximal abelian subgroup, and a nilpotent subgroup) according to the Iwasawa decomposition.
- 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_69f3499e964c8190b674b03f6f791b4b |
completed | April 30, 2026, 12:22 p.m. |
| NER | Named-entity recognition | batch_69fd68abf52881909c5a390c362b7c59 |
completed | May 8, 2026, 4:38 a.m. |
| PD | Predicate disambiguation | batch_69fd6812d0c88190930d8fa2d4b92490 |
completed | May 8, 2026, 4:35 a.m. |
| PDg | Predicate description generation | batch_69fd68ab21a0819096bfc4a8c14851ad |
completed | May 8, 2026, 4:38 a.m. |
Created at: May 1, 2026, 1:50 a.m.