Triple

T25550007
Position Surface form Disambiguated ID Type / Status
Subject Mordell curve E640411 entity
Predicate hasComplexMultiplication P184832 FINISHED
Object by ring of integers of ℚ(√-3) 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: by ring of integers of ℚ(√-3) | Statement: [Mordell curve, hasComplexMultiplication, by ring of integers of ℚ(√-3)]
PD Predicate disambiguation gpt-5-mini-2025-08-07
Target predicate: hasComplexMultiplication
Context triple: [Mordell curve, hasComplexMultiplication, by ring of integers of ℚ(√-3)]
  • A. isComplexMultiplicationField
    Indicates that a given field is a number field obtained by adjoining complex multiplication (i.e., it is a CM field, a totally imaginary quadratic extension of a totally real number field).
  • B. hasComplexEmbeddings
    Indicates that an entity is associated with or represented by complex-valued vector embeddings in some embedding space.
  • C. hasComplexPoints
    Indicates that something possesses or includes points that are intricate, detailed, or composed of multiple interconnected parts.
  • D. hasHodgeStructure
    Indicates that one mathematical object is endowed with, or related to another via, a Hodge structure defining its decomposition into Hodge components.
  • E. isComplexificationOf
    Indicates that one entity is a more complex or elaborated version derived from another, simpler entity.
  • 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_69e75dc101a881909fd33b02174e9768 completed April 21, 2026, 11:21 a.m.
NER Named-entity recognition batch_69f7b628b17c8190aa058c1a51852a27 completed May 3, 2026, 8:55 p.m.
PD Predicate disambiguation batch_69f7b4c06f5881908f0b98cad6796478 completed May 3, 2026, 8:49 p.m.
PDg Predicate description generation batch_69f7b5cadd308190a864245a21b08f9a completed May 3, 2026, 8:53 p.m.
Created at: April 21, 2026, 3:36 p.m.