Triple

T33579705
Position Surface form Disambiguated ID Type / Status
Subject Cartier divisor E860118 entity
Predicate linearlyEquivalentIf P176912 FINISHED
Object difference is principal divisor 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: difference is principal divisor | Statement: [Cartier divisor, linearlyEquivalentIf, difference is principal divisor]
PD Predicate disambiguation gpt-5-mini-2025-08-07
Target predicate: linearlyEquivalentIf
Context triple: [Cartier divisor, linearlyEquivalentIf, difference is principal divisor]
  • A. quotientByLinearEquivalenceGives
    Indicates that forming a quotient under a specified linear equivalence relation produces or yields a particular resulting object or structure.
  • B. hasEquivalent
    Indicates that two entities are considered equal in value, meaning, or function within a given context.
  • C. isLinear
    Indicates that a relationship, function, or structure preserves linearity, typically meaning it satisfies additivity and homogeneity (or forms a straight-line dependence between variables).
  • D. hasEquivalenceRelation
    Indicates that there exists an equivalence relation between the entities, meaning they are related in a way that is reflexive, symmetric, and transitive.
  • E. isBirationalTo
    Indicates that there exists a birational map between two algebraic varieties, meaning they are isomorphic outside lower-dimensional subsets and share the same function field.
  • 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.