Triple

T5019712
Position Surface form Disambiguated ID Type / Status
Subject Harald Bohr E112818 entity
Predicate hasWork P6260 FINISHED
Object Collected Mathematical Works of Harald Bohr
The "Collected Mathematical Works of Harald Bohr" is a multi-volume edition compiling the influential research and publications of Danish mathematician Harald Bohr, particularly in the fields of Dirichlet series and almost periodic functions.
E486750 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: Collected Mathematical Works of Harald Bohr | Statement: [Harald Bohr, hasWork, Collected Mathematical Works of Harald Bohr]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Collected Mathematical Works of Harald Bohr
Context triple: [Harald Bohr, hasWork, Collected Mathematical Works of Harald Bohr]
  • A. Problems and Theorems in Analysis (with George Pólya)
    "Problems and Theorems in Analysis (with George Pólya)" is a classic two-volume collection of challenging problems and results in mathematical analysis that has become a standard reference and training resource for advanced students and researchers.
  • B. Du Bois-Reymond theory of orders of infinity
    The Du Bois-Reymond theory of orders of infinity is a foundational framework in analysis that rigorously compares the growth rates of functions by classifying them into hierarchies of infinitesimal and infinite magnitudes.
  • C. Über die Darstellbarkeit einer Funktion durch eine trigonometrische Reihe
    Über die Darstellbarkeit einer Funktion durch eine trigonometrische Reihe is Bernhard Riemann’s seminal 1854 paper that laid foundational ideas for Fourier series and modern real analysis, including the concept now known as the Riemann integral.
  • D. E. C. Titchmarsh, The Theory of the Riemann Zeta-Function
    "E. C. Titchmarsh, The Theory of the Riemann Zeta-Function" is a classic monograph in analytic number theory that provides a comprehensive and authoritative treatment of the Riemann zeta function and related topics.
  • E. Mertens’ theorems
    Mertens’ theorems are classical results in analytic number theory that give precise asymptotic estimates for sums involving the Möbius function and the reciprocals of primes, illuminating the distribution of primes and their connection to the Riemann zeta function.
  • 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: Collected Mathematical Works of Harald Bohr
Triple: [Harald Bohr, hasWork, Collected Mathematical Works of Harald Bohr]
Generated description
The "Collected Mathematical Works of Harald Bohr" is a multi-volume edition compiling the influential research and publications of Danish mathematician Harald Bohr, particularly in the fields of Dirichlet series and almost periodic functions.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Collected Mathematical Works of Harald Bohr
Target entity description: The "Collected Mathematical Works of Harald Bohr" is a multi-volume edition compiling the influential research and publications of Danish mathematician Harald Bohr, particularly in the fields of Dirichlet series and almost periodic functions.
  • A. Problems and Theorems in Analysis (with George Pólya)
    "Problems and Theorems in Analysis (with George Pólya)" is a classic two-volume collection of challenging problems and results in mathematical analysis that has become a standard reference and training resource for advanced students and researchers.
  • B. Du Bois-Reymond theory of orders of infinity
    The Du Bois-Reymond theory of orders of infinity is a foundational framework in analysis that rigorously compares the growth rates of functions by classifying them into hierarchies of infinitesimal and infinite magnitudes.
  • C. Über die Darstellbarkeit einer Funktion durch eine trigonometrische Reihe
    Über die Darstellbarkeit einer Funktion durch eine trigonometrische Reihe is Bernhard Riemann’s seminal 1854 paper that laid foundational ideas for Fourier series and modern real analysis, including the concept now known as the Riemann integral.
  • D. E. C. Titchmarsh, The Theory of the Riemann Zeta-Function
    "E. C. Titchmarsh, The Theory of the Riemann Zeta-Function" is a classic monograph in analytic number theory that provides a comprehensive and authoritative treatment of the Riemann zeta function and related topics.
  • E. Mertens’ theorems
    Mertens’ theorems are classical results in analytic number theory that give precise asymptotic estimates for sums involving the Möbius function and the reciprocals of primes, illuminating the distribution of primes and their connection to the Riemann zeta function.
  • 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_69bd4435c2f48190be593158cbfcf8a3 completed March 20, 2026, 12:57 p.m.
NER Named-entity recognition batch_69bd7342c62881909acb35849da8761c completed March 20, 2026, 4:18 p.m.
NED1 Entity disambiguation (via context triple) batch_69be927bdfa481908a5face7b4fd7058 completed March 21, 2026, 12:43 p.m.
NEDg Description generation batch_69be93e00fc08190a0706dd7375020f5 completed March 21, 2026, 12:49 p.m.
NED2 Entity disambiguation (via description) batch_69be94a7e15481908f17feafb593b97b completed March 21, 2026, 12:52 p.m.
Created at: March 20, 2026, 1:35 p.m.