Triple

T11098915
Position Surface form Disambiguated ID Type / Status
Subject Clebsch diagonal surface E262450 entity
Predicate isOftenDefinedBy P32719 FINISHED
Object homogeneous coordinates satisfying x0 + x1 + x2 + x3 + x4 = 0 and x0^3 + x1^3 + x2^3 + x3^3 + x4^3 = 0 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: homogeneous coordinates satisfying x0 + x1 + x2 + x3 + x4 = 0 and x0^3 + x1^3 + x2^3 + x3^3 + x4^3 = 0 | Statement: [Clebsch diagonal surface, isOftenDefinedBy, homogeneous coordinates satisfying x0 + x1 + x2 + x3 + x4 = 0 and x0^3 + x1^3 + x2^3 + x3^3 + x4^3 = 0]
PD Predicate disambiguation gpt-5-mini-2025-08-07
Target predicate: isOftenDefinedBy
Context triple: [Clebsch diagonal surface, isOftenDefinedBy, homogeneous coordinates satisfying x0 + x1 + x2 + x3 + x4 = 0 and x0^3 + x1^3 + x2^3 + x3^3 + x4^3 = 0]
  • A. isCommonlyDefinedBy chosen
    Indicates that something is typically or most frequently characterized, specified, or described by a particular definition, property, or set of criteria.
  • B. areDefinedIn
    Indicates that the referenced entities are specified, described, or formally established within a particular source, context, or scope.
  • C. laterDefinedBy
    Indicates that the referenced entity’s full definition or specification is provided at a subsequent point in the same or another resource.
  • D. baseDefinedBy
    Indicates that something’s foundational properties, structure, or interpretation are determined or specified by a particular base or underlying system.
  • E. endDefinedBy
    Indicates that the termination or boundary of one entity is determined, specified, or constrained by another 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_69d6aa9a40d88190a373e2c7e48285db completed April 8, 2026, 7:20 p.m.
NER Named-entity recognition batch_69d79a0c46308190889b94c23ebaca62 completed April 9, 2026, 12:22 p.m.
PD Predicate disambiguation batch_69d7441aa3548190b92dbde57841c135 completed April 9, 2026, 6:15 a.m.
Created at: April 8, 2026, 9:27 p.m.