Triple

T26254983
Position Surface form Disambiguated ID Type / Status
Subject PSL(2,ℤ/Nℤ) E656691 entity
Predicate hasNaturalHomomorphismFrom P95390 FINISHED
Object PSL(2,ℤ) NE NERFINISHED

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: PSL(2,ℤ) | Statement: [PSL(2,ℤ/Nℤ), hasNaturalHomomorphismFrom, PSL(2,ℤ)]
PD Predicate disambiguation gpt-5-mini-2025-08-07
Target predicate: hasNaturalHomomorphismFrom
Context triple: [PSL(2,ℤ/Nℤ), hasNaturalHomomorphismFrom, PSL(2,ℤ)]
  • A. hasHomomorphism
    Indicates that there exists a structure-preserving map (homomorphism) from one mathematical structure to another.
  • B. isNaturalWithRespectTo
    Indicates that something behaves or is defined in a way that is compatible with, and preserved by, a given structure, transformation, or context.
  • C. hasMorphismsCorrespondingTo
    Indicates that there exist morphisms between two structures such that they correspond in a specified way (e.g., via a functor, equivalence, or structural mapping) according to the given context.
  • D. hasCanonicalMapFrom chosen
    Indicates that there exists a standard or uniquely determined structure-preserving map from one entity to another.
  • E. hasCoveringMapTo
    Indicates that one mathematical space is related to another by a covering map, i.e., a continuous surjective map where each point in the target has a neighborhood evenly covered by disjoint homeomorphic copies in the source.
  • 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_69ee5b4d25ac819086acb51184602576 completed April 26, 2026, 6:37 p.m.
NER Named-entity recognition batch_69f6cee45590819086e489bfccbe4ac3 completed May 3, 2026, 4:28 a.m.
PD Predicate disambiguation batch_69f6cc1188708190b8f0f56e595e6057 completed May 3, 2026, 4:16 a.m.
Created at: April 26, 2026, 9:08 p.m.