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.