Triple

T36468948
Position Surface form Disambiguated ID Type / Status
Subject PSL(2,ℂ) E898490 entity
Predicate hasProjectiveRealization P93943 FINISHED
Object PGL(2,ℂ) E2186183 NE 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: PGL(2,ℂ) | Statement: [PSL(2,ℂ), hasProjectiveRealization, PGL(2,ℂ)]
PD Predicate disambiguation gpt-5-mini-2025-08-07
Target predicate: hasProjectiveRealization
Context triple: [PSL(2,ℂ), hasProjectiveRealization, PGL(2,ℂ)]
  • A. hasProjectiveClosure
    Indicates that one entity is the projective closure (i.e., the extension into projective space) of another entity.
  • B. isProjective
    Indicates that one entity is a projection or projected form of another, typically preserving certain structural or relational properties under a mapping or transformation.
  • C. isProjectiveRepresentationOf chosen
    Indicates that one mathematical object represents another up to multiplication by scalar factors, preserving structure only up to a projective (rather than strictly linear) equivalence.
  • D. hasRealizationAs
    Indicates that something abstract, such as a plan, design, or concept, is concretely implemented or manifested as a particular realized form.
  • E. isProjectionOnto
    Indicates that one entity represents the result of projecting another entity onto a specified subspace, axis, or component.
  • F. None of above.

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_69f76e58ebd88190b75d9b169b59d793 completed May 3, 2026, 3:48 p.m.
NER Named-entity recognition batch_6a037c8e2c648190a65fc9c7872861af completed May 12, 2026, 7:16 p.m.
NED1 Entity disambiguation (via context triple) batch_6a39dbc7fe00819096fef95280ce038e completed June 23, 2026, 1:05 a.m.
PD Predicate disambiguation batch_6a037a0bf4b88190bdcfae9a14b51f0a completed May 12, 2026, 7:05 p.m.
Created at: May 3, 2026, 4:10 p.m.