Triple

T33579722
Position Surface form Disambiguated ID Type / Status
Subject Cartier divisor E860118 entity
Predicate hasSheafTheoreticDescription P181463 FINISHED
Object invertible subsheaf of K_X 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: invertible subsheaf of K_X | Statement: [Cartier divisor, hasSheafTheoreticDescription, invertible subsheaf of K_X]
PD Predicate disambiguation gpt-5-mini-2025-08-07
Target predicate: hasSheafTheoreticDescription
Context triple: [Cartier divisor, hasSheafTheoreticDescription, invertible subsheaf of K_X]
  • A. categoryOfSheavesOn
    Indicates that one entity is the category whose objects are sheaves defined on the other entity (typically a space or site).
  • 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. hasCohomologyIsomorphicTo
    Indicates that the cohomology groups (with their algebraic structure) of one object are isomorphic to those of another object.
  • D. 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).
  • E. hasHodgeNumbers
    Indicates that an entity (typically a geometric or algebraic object) is associated with specific Hodge numbers describing its Hodge decomposition or Hodge structure.
  • 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_69f7764ab1fc81909f9348db87bd7692 completed May 3, 2026, 4:22 p.m.
PD Predicate disambiguation batch_69f76905d9c88190b1ee810bc9ab644f completed May 3, 2026, 3:25 p.m.
PDg Predicate description generation batch_69f77648979c8190b6cdbb835ab8987c completed May 3, 2026, 4:22 p.m.
Created at: May 1, 2026, 1:40 a.m.