Triple

T26254171
Position Surface form Disambiguated ID Type / Status
Subject modular j-invariant E656674 entity
Predicate inducesBijectionBetween P160143 FINISHED
Object SL(2,Z)\H and C 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: SL(2,Z)\H and C | Statement: [modular j-invariant, inducesBijectionBetween, SL(2,Z)\H and C]
PD Predicate disambiguation gpt-5-mini-2025-08-07
Target predicate: inducesBijectionBetween
Context triple: [modular j-invariant, inducesBijectionBetween, SL(2,Z)\H and C]
  • A. isBijective
    Indicates that a function establishes a one-to-one and onto correspondence between elements of its domain and codomain, with each element in both sets paired uniquely.
  • B. isBiholomorphismOf chosen
    Indicates that one complex-analytic map is a biholomorphic equivalence between two complex manifolds, i.e., a holomorphic bijection whose inverse is also holomorphic.
  • C. isInverseOf
    Indicates that one relation reverses the direction of another, so that if the original relates A to B, its inverse relates B to A.
  • D. inducedBy
    Indicates that one entity is the cause, source, or triggering factor that brings about the existence, occurrence, or state of another entity.
  • E. definesInverseOf
    Indicates that one relationship is explicitly specified as the inverse (i.e., directionally opposite counterpart) of another relationship.
  • 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_69f60dcc29cc81908880bd825cb12141 completed May 2, 2026, 2:44 p.m.
PD Predicate disambiguation batch_69f60b874cc88190a487230abb69efea completed May 2, 2026, 2:34 p.m.
Created at: April 26, 2026, 9:08 p.m.