Triple

T33579767
Position Surface form Disambiguated ID Type / Status
Subject Picard group E860119 entity
Predicate kernelOfDegreeMap P77179 FINISHED
Object Pic^0(C) for a smooth projective curve C 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^0(C) for a smooth projective curve C | Statement: [Picard group, kernelOfDegreeMap, Pic^0(C) for a smooth projective curve C]
PD Predicate disambiguation gpt-5-mini-2025-08-07
Target predicate: kernelOfDegreeMap
Context triple: [Picard group, kernelOfDegreeMap, Pic^0(C) for a smooth projective curve C]
  • A. hasDeterminantMapKernelOf
    Indicates that the kernel of a given map is characterized or determined by a determinant-related condition or construction.
  • B. kernelOfProjectionFrom chosen
    Indicates the subset of elements that are mapped to zero (or the identity element) by a given projection map from one structure to another.
  • C. kernelType
    Indicates the specific kind or category of kernel associated with or used by an entity.
  • D. degreeOverQ
    Indicates that one entity has an academic degree or qualification in a particular field, subject, or from a specific institution.
  • E. coveringMapDegree
    Indicates the integer degree of a covering map, specifying how many preimage points in the covering space lie over a typical point in the base space.
  • F. None of above.

Provenance (3 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_69f6f76f757081909165948fdcb254c7 completed May 3, 2026, 7:21 a.m.
PD Predicate disambiguation batch_69f6f6632dfc8190af85e258c8519207 completed May 3, 2026, 7:16 a.m.
Created at: May 1, 2026, 1:40 a.m.