Triple

T33579765
Position Surface form Disambiguated ID Type / Status
Subject Picard group E860119 entity
Predicate curveExample P176923 FINISHED
Object for a smooth projective curve C over an algebraically closed field, Pic^0(C) is isomorphic to the Jacobian of 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: for a smooth projective curve C over an algebraically closed field, Pic^0(C) is isomorphic to the Jacobian of C | Statement: [Picard group, curveExample, for a smooth projective curve C over an algebraically closed field, Pic^0(C) is isomorphic to the Jacobian of C]
PD Predicate disambiguation gpt-5-mini-2025-08-07
Target predicate: curveExample
Context triple: [Picard group, curveExample, for a smooth projective curve C over an algebraically closed field, Pic^0(C) is isomorphic to the Jacobian of C]
  • A. curveName
    Indicates that a specific curve is identified or labeled by a given name.
  • B. curveEquation
    Indicates that one entity is the mathematical equation that defines or represents the curve described by the other entity.
  • C. curveEquationForm
    Indicates that one entity is expressed as the mathematical equation or algebraic form that defines the shape or properties of a curve associated with another entity.
  • D. curveDescription
    Indicates that a curve is characterized or defined by a specific descriptive text or explanation.
  • E. relatedCurve
    Indicates that one curve is associated with or derived from another curve in a defined relational way.
  • 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.