Triple

T22752706
Position Surface form Disambiguated ID Type / Status
Subject Gustav Herglotz E562747 entity
Predicate knownFor P22 FINISHED
Object Herglotz wave function
The Herglotz wave function is a mathematical representation of wave fields, particularly used in scattering theory to express solutions of the Helmholtz equation as superpositions of plane waves.
E1551783 NE FINISHED

How this triple was built (4 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 wave function | Statement: [Gustav Herglotz, knownFor, Herglotz wave function]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Herglotz wave function
Context triple: [Gustav Herglotz, knownFor, Herglotz wave function]
  • A. Herglotz functions
    Herglotz functions are analytic functions on the upper half-plane with nonnegative imaginary part, central in complex analysis and operator theory due to their integral representation and role in moment and interpolation problems.
  • B. Herglotz's theorem
    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.
  • C. Hermite functions
    Hermite functions are a family of orthogonal functions built from Hermite polynomials and a Gaussian weight, widely used in quantum mechanics, signal processing, and approximation theory.
  • D. Laughlin wavefunction
    The Laughlin wavefunction is a celebrated trial many-body quantum state that successfully explains the fractional quantum Hall effect by capturing the strongly correlated behavior of electrons in two dimensions under high magnetic fields.
  • E. Wightman functions
    Wightman functions are vacuum expectation values of time-ordered products of quantum fields that rigorously encode the correlation structure and axiomatic foundations of relativistic quantum field theory.
  • F. None of above. chosen
  • G. Unsure - the case is ambiguous/there is not enough information to decide.
NEDg Description generation gpt-5.1
Instruction
Generate a one-sentence description of the target entity. 
You are given a context triple in the form (subject, predicate, object), where the object is the target entity. 
# Instructions
Use the triple to infer relevant information about the entity. Describe the entity based on what is most defining, well-known. 
Avoid repeating the information from the triple, unless really essential.
# Response Format
Return only the sentence: "Description: [one-sentence description of the target entity]"
Input
Entity: Herglotz wave function
Triple: [Gustav Herglotz, knownFor, Herglotz wave function]
Generated description
The Herglotz wave function is a mathematical representation of wave fields, particularly used in scattering theory to express solutions of the Helmholtz equation as superpositions of plane waves.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Herglotz wave function
Target entity description: The Herglotz wave function is a mathematical representation of wave fields, particularly used in scattering theory to express solutions of the Helmholtz equation as superpositions of plane waves.
  • A. Herglotz functions
    Herglotz functions are analytic functions on the upper half-plane with nonnegative imaginary part, central in complex analysis and operator theory due to their integral representation and role in moment and interpolation problems.
  • B. Herglotz's theorem
    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.
  • C. Hermite functions
    Hermite functions are a family of orthogonal functions built from Hermite polynomials and a Gaussian weight, widely used in quantum mechanics, signal processing, and approximation theory.
  • D. Laughlin wavefunction
    The Laughlin wavefunction is a celebrated trial many-body quantum state that successfully explains the fractional quantum Hall effect by capturing the strongly correlated behavior of electrons in two dimensions under high magnetic fields.
  • E. Wightman functions
    Wightman functions are vacuum expectation values of time-ordered products of quantum fields that rigorously encode the correlation structure and axiomatic foundations of relativistic quantum field theory.
  • F. None of above. chosen

Provenance (5 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.
NED1 Entity disambiguation (via context triple) batch_6a0b8fd93a308190b8e05c07a3556a71 completed May 18, 2026, 10:16 p.m.
NEDg Description generation batch_6a0b909d16a881909009b416ea7ebf9b completed May 18, 2026, 10:20 p.m.
NED2 Entity disambiguation (via description) batch_6a0b912a093c8190991a088843e102ce completed May 18, 2026, 10:22 p.m.
Created at: April 17, 2026, 3:24 p.m.