Triple

T20188808
Position Surface form Disambiguated ID Type / Status
Subject Bernard Bolzano E492929 entity
Predicate notableIdea P4 FINISHED
Object Bolzano–Weierstrass theorem (early formulation) 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: Bolzano–Weierstrass theorem (early formulation) | Statement: [Bernard Bolzano, notableIdea, Bolzano–Weierstrass theorem (early formulation)]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Bolzano–Weierstrass theorem (early formulation)
Context triple: [Bernard Bolzano, notableIdea, Bolzano–Weierstrass theorem (early formulation)]
  • A. Bolzano–Weierstrass theorem chosen
    The Bolzano–Weierstrass theorem is a fundamental result in real analysis stating that every bounded infinite sequence in ℝⁿ has a convergent subsequence.
  • B. Arzelà–Ascoli theorem
    The Arzelà–Ascoli theorem is a fundamental result in analysis that characterizes the relative compactness of families of functions via uniform boundedness and equicontinuity.
  • C. Borel–Lebesgue theorem
    The Borel–Lebesgue theorem is a fundamental result in real analysis and topology that characterizes compact subsets of Euclidean space via the property that every open cover admits a finite subcover.
  • D. Stone–Weierstrass theorem
    The Stone–Weierstrass theorem is a fundamental result in functional analysis that characterizes when a subalgebra of continuous functions on a compact space is dense, thereby generalizing classical polynomial approximation results.
  • E. Banach–Alaoglu theorem
    The Banach–Alaoglu theorem is a fundamental result in functional analysis stating that the closed unit ball in the dual of a normed space is compact in the weak-* topology.
  • F. None of above.
  • G. Unsure - the case is ambiguous/there is not enough information to decide.

Provenance (2 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_69da6268a034819081cbd9ea5a1c9475 completed April 11, 2026, 3:02 p.m.
NER Named-entity recognition batch_69e66ad404508190981cfb7cab18d8d3 completed April 20, 2026, 6:05 p.m.
Created at: April 11, 2026, 11:37 p.m.