Triple

T22752707
Position Surface form Disambiguated ID Type / Status
Subject Gustav Herglotz E562747 entity
Predicate knownFor P22 FINISHED
Object Herglotz–Noether theorem — 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: Herglotz–Noether theorem | Statement: [Gustav Herglotz, knownFor, Herglotz–Noether theorem]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07 
Target entity: Herglotz–Noether theorem
Context triple: [Gustav Herglotz, knownFor, Herglotz–Noether theorem]
  • A. Herglotz's theorem chosen
    Herglotz's theorem is a fundamental result in harmonic analysis and probability theory that characterizes positive-definite functions on the unit circle via representing measures.
  • B. Goldstine theorem
    Goldstine theorem is a fundamental result in functional analysis that characterizes the canonical embedding of a Banach space into its bidual by showing that the image of the unit ball is weak*-dense in the unit ball of the bidual.
  • C. Haag’s theorem
    Haag’s theorem is a result in axiomatic quantum field theory showing that the interaction picture cannot be consistently defined for interacting fields in the same Hilbert space as free fields, undermining the standard formulation of quantum field theory.
  • D. Bohr–Courant theorem
    The Bohr–Courant theorem is a classical result in analytic number theory describing the value distribution of Dirichlet series, particularly the Riemann zeta function, and serves as a precursor to modern universality theorems such as Voronin’s.
  • E. Noether’s theorem in algebraic geometry (Noether’s AF+BG theorem)
    Noether’s AF+BG theorem is a foundational result in algebraic geometry that provides conditions under which a polynomial vanishing on the intersection of two plane curves can be expressed as a linear combination of their defining equations.
  • 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_69e24551ec7881909a9c924dbea155f6 completed April 17, 2026, 2:36 p.m.
NER Named-entity recognition batch_69f179baa85881909140f41f2428cc98 completed April 29, 2026, 3:23 a.m.
Created at: April 17, 2026, 3:24 p.m.