Triple

T23234816
Position Surface form Disambiguated ID Type / Status
Subject p-adic analytic groups E581256 entity
Predicate hasInvariantMeasure P128197 FINISHED
Object Haar measure 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: Haar measure | Statement: [p-adic analytic groups, hasInvariantMeasure, Haar measure]
PD Predicate disambiguation gpt-5-mini-2025-08-07
Target predicate: hasInvariantMeasure
Context triple: [p-adic analytic groups, hasInvariantMeasure, Haar measure]
  • A. hasHaarMeasure chosen
    Indicates that a given mathematical object (typically a topological group or related structure) admits a well-defined Haar measure, i.e., a translation-invariant measure on its measurable subsets.
  • B. hasLebesgueMeasure
    Indicates that a set is assigned a specific value by the Lebesgue measure, representing its "size" in the sense of measure theory.
  • C. hasNonMeasurableSets
    Indicates that within a given set or space, there exist subsets that are not measurable under the specified measure or sigma-algebra.
  • D. spectralMeasure
    Indicates a relationship where a measure assigns values to sets in a spectrum, typically capturing how a quantity (like probability or mass) is distributed across spectral components.
  • E. invariantOf
    Indicates that one element is an invariant (a property or quantity that remains unchanged) with respect to another element, system, or transformation.
  • 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_69e2460556f88190be1744a84a84173f completed April 17, 2026, 2:39 p.m.
NER Named-entity recognition batch_69f192e8c7548190b53434eeb2620a6e completed April 29, 2026, 5:11 a.m.
PD Predicate disambiguation batch_69effcdadec0819092ec1749ee453b4e completed April 28, 2026, 12:18 a.m.
Created at: April 17, 2026, 4:09 p.m.