Triple

T11919092
Position Surface form Disambiguated ID Type / Status
Subject Fitting ideal E283606 entity
Predicate inAlgebraicGeometry P102353 FINISHED
Object defines closed subschemes 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: defines closed subschemes | Statement: [Fitting ideal, inAlgebraicGeometry, defines closed subschemes]
PD Predicate disambiguation gpt-5-mini-2025-08-07
Target predicate: inAlgebraicGeometry
Context triple: [Fitting ideal, inAlgebraicGeometry, defines closed subschemes]
  • A. isRingTheoreticAnalogueOf
    Indicates that one concept in ring theory serves as the structural or conceptual counterpart of another notion from a different mathematical context.
  • B. arePolynomialsIn
    Indicates that the specified expressions are polynomials in the given variable(s) or over the given ring/field.
  • C. canonicalVarieties
    Indicates that one entity is a canonical or standard variety/form of another entity within a given classification or system.
  • D. algebra
    Indicates a relationship involving algebraic operations, structures, or properties between mathematical entities.
  • E. closedSubsetsOfAffineSpace
    Indicates that the related entities are subsets of an affine space that are closed in the corresponding topology.
  • 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_69d6ab2c07e88190ba13b0d21fd6cf33 completed April 8, 2026, 7:23 p.m.
NER Named-entity recognition batch_69d8e8dff77481908cacf6ad03df34ac completed April 10, 2026, 12:11 p.m.
PD Predicate disambiguation batch_69d8bb3632ac8190b13e53c2b5db7125 completed April 10, 2026, 8:56 a.m.
PDg Predicate description generation batch_69d8dd0ba0f88190b7d5e358c27ca184 completed April 10, 2026, 11:20 a.m.
Created at: April 8, 2026, 9:44 p.m.