Triple

T36468357
Position Surface form Disambiguated ID Type / Status
Subject Stieltjes measure E898477 entity
Predicate correspondsBijectivelyTo P160523 FINISHED
Object nondecreasing right-continuous functions modulo constants 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: nondecreasing right-continuous functions modulo constants | Statement: [Stieltjes measure, correspondsBijectivelyTo, nondecreasing right-continuous functions modulo constants]
PD Predicate disambiguation gpt-5-mini-2025-08-07
Target predicate: correspondsBijectivelyTo
Context triple: [Stieltjes measure, correspondsBijectivelyTo, nondecreasing right-continuous functions modulo constants]
  • A. isBijective chosen
    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
    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. cardinalityOfFibers
    Indicates the number of distinct fibers (preimage sets) associated with a given mapping or relation.
  • D. isAssociativeUpToIsomorphism
    Indicates that a binary operation is associative in a structural sense, meaning any two ways of parenthesizing a finite product are related by a canonical isomorphism rather than strict equality.
  • E. isDiffeomorphicTo
    Indicates that there exists a smooth, bijective map between two spaces whose inverse is also smooth, so the spaces are equivalent in the sense of differential topology.
  • 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_69f76e58ebd88190b75d9b169b59d793 completed May 3, 2026, 3:48 p.m.
NER Named-entity recognition batch_69fb2e940d5c8190bceae77daf4ef512 completed May 6, 2026, 12:05 p.m.
PD Predicate disambiguation batch_69f9fec70bd881909c658a3c5020318b completed May 5, 2026, 2:29 p.m.
Created at: May 3, 2026, 4:10 p.m.