Triple

T37258640
Position Surface form Disambiguated ID Type / Status
Subject Stone representation theorem E924199 entity
Predicate categoryOnAlgebraSide P26397 FINISHED
Object category of Boolean algebras with Boolean homomorphisms 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: category of Boolean algebras with Boolean homomorphisms | Statement: [Stone representation theorem, categoryOnAlgebraSide, category of Boolean algebras with Boolean homomorphisms]
PD Predicate disambiguation gpt-5-mini-2025-08-07
Target predicate: categoryOnAlgebraSide
Context triple: [Stone representation theorem, categoryOnAlgebraSide, category of Boolean algebras with Boolean homomorphisms]
  • A. algebra chosen
    Indicates a relationship involving algebraic operations, structures, or properties between mathematical entities.
  • B. inAlgebraicGeometry
    Indicates that something is situated, defined, or studied within the context and methods of algebraic geometry.
  • C. generatedAsQAlgebraBy
    Indicates that something is produced or derived through a specific QA (question-answering) algebraic process or construction.
  • D. isRingTheoreticAnalogueOf
    Indicates that one concept in ring theory serves as the structural or conceptual counterpart of another notion from a different mathematical context.
  • E. symmetryAlgebraOf
    Indicates that one entity is the symmetry algebra associated with, or governing the symmetries of, the other entity.
  • 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_69f76eabd6c481909d414a80a1345c98 completed May 3, 2026, 3:50 p.m.
NER Named-entity recognition batch_69fb9e1845e881908d19158440cf3b87 completed May 6, 2026, 8:01 p.m.
PD Predicate disambiguation batch_69fb8d08d6988190a00794ac26078348 completed May 6, 2026, 6:48 p.m.
Created at: May 3, 2026, 4:15 p.m.