Triple

T21077305
Position Surface form Disambiguated ID Type / Status
Subject Playfair's axiom E519271 entity
Predicate truthValueInHyperbolicGeometry P114036 FINISHED
Object false 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: false | Statement: [Playfair's axiom, truthValueInHyperbolicGeometry, false]
PD Predicate disambiguation gpt-5-mini-2025-08-07
Target predicate: truthValueInHyperbolicGeometry
Context triple: [Playfair's axiom, truthValueInHyperbolicGeometry, false]
  • A. hasHyperbolicArea
    Indicates that one entity possesses or is associated with a specific area measured in hyperbolic geometry.
  • B. hasParallelPostulateFormulation
    Indicates that one formulation of the parallel postulate corresponds to or can be expressed equivalently as another formulation.
  • C. positionOnTruth chosen
    Indicates the stance or viewpoint an entity holds regarding the truth or falsity of a given claim or proposition.
  • D. isHyperbolicTriangleGroup
    Indicates that a group is a triangle group whose defining triangle lies in hyperbolic geometry (i.e., has angles summing to less than π).
  • E. isNonArchimedean
    Indicates that the structure satisfies a non-Archimedean property, meaning its ordering or valuation admits infinitely large or infinitesimal elements relative to the usual Archimedean comparison.
  • 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_69e0b506e59c8190849b71ed07929215 completed April 16, 2026, 10:08 a.m.
NER Named-entity recognition batch_69e702d77b8081908ecfb05ab391fd39 completed April 21, 2026, 4:53 a.m.
PD Predicate disambiguation batch_69e5dbfcd5e881908f1e4e0d2d237856 completed April 20, 2026, 7:55 a.m.
Created at: April 16, 2026, 2:49 p.m.