Triple
T33579761
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Picard group |
E860119
|
entity |
| Predicate | zeroPicardGroupExample |
P176920
|
FINISHED |
| Object | Pic(Spec k) = 0 for a field k |
—
|
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: Pic(Spec k) = 0 for a field k | Statement: [Picard group, zeroPicardGroupExample, Pic(Spec k) = 0 for a field k]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: zeroPicardGroupExample Context triple: [Picard group, zeroPicardGroupExample, Pic(Spec k) = 0 for a field k]
-
A.
fundamentalGroup
Indicates the relationship that assigns to a topological space its fundamental group, capturing how loops in the space can be continuously deformed into one another.
-
B.
multiplicativeGroup
Indicates that the entities stand in a group-theoretic relationship under multiplication, where one serves as the multiplicative group (with an associative operation, identity, inverses, and closure) in which the other is considered.
-
C.
isPerfectGroup
Indicates that the group satisfies the definition of a perfect group, typically meaning it is equal to its own commutator subgroup (has no nontrivial abelian quotient).
-
D.
hasPontryaginDual
Indicates that one mathematical object is the Pontryagin dual (the group of continuous homomorphisms into the circle group) of another topological abelian group.
-
E.
usesSymmetryGroup
Indicates that one entity employs or is based on a particular symmetry group in its structure, behavior, or formulation.
- 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_69f3497d37848190afcbb5ef3f5c7376 |
completed | April 30, 2026, 12:22 p.m. |
| NER | Named-entity recognition | batch_69f6f8164698819090c1b471f1caa4c6 |
completed | May 3, 2026, 7:24 a.m. |
| PD | Predicate disambiguation | batch_69f6f6632dfc8190af85e258c8519207 |
completed | May 3, 2026, 7:16 a.m. |
| PDg | Predicate description generation | batch_69f6f70b0ca081908b24a98937e6ef66 |
completed | May 3, 2026, 7:19 a.m. |
Created at: May 1, 2026, 1:40 a.m.