Triple
T2394176
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Riemann zeta function |
E47609
|
entity |
| Predicate | historicalPaper |
P37896
|
FINISHED |
| Object | Riemann 1859 memoir "On the Number of Primes Less Than a Given Magnitude" |
E47355
|
NE FINISHED |
How this triple was built (3 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: Riemann 1859 memoir "On the Number of Primes Less Than a Given Magnitude" | Statement: [Riemann zeta function, historicalPaper, Riemann 1859 memoir "On the Number of Primes Less Than a Given Magnitude"]
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Riemann 1859 memoir "On the Number of Primes Less Than a Given Magnitude" Context triple: [Riemann zeta function, historicalPaper, Riemann 1859 memoir "On the Number of Primes Less Than a Given Magnitude"]
-
A.
Über die Anzahl der Primzahlen unter einer gegebenen Grösse
chosen
Über die Anzahl der Primzahlen unter einer gegebenen Grösse is Bernhard Riemann’s seminal 1859 paper that introduced the Riemann zeta function and laid the foundations of analytic number theory, including the famous Riemann Hypothesis.
-
B.
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.
-
C.
H. M. Edwards, Riemann’s Zeta Function
*H. M. Edwards, Riemann’s Zeta Function* is a classic monograph that provides a rigorous, historically informed, and comprehensive study of the Riemann zeta function and the Riemann Hypothesis, widely regarded as a standard reference in analytic number theory.
-
D.
Disquisitiones Arithmeticae
Disquisitiones Arithmeticae is a foundational 1801 treatise on number theory that systematically developed the subject and introduced many of its central concepts and methods.
-
E.
Riemann hypothesis
The Riemann hypothesis is a famous unsolved conjecture in number theory asserting that all nontrivial zeros of the Riemann zeta function lie on a critical line in the complex plane, with deep implications for the distribution of prime numbers.
- F. None of above.
- G. Unsure - the case is ambiguous/there is not enough information to decide.
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: historicalPaper Context triple: [Riemann zeta function, historicalPaper, Riemann 1859 memoir "On the Number of Primes Less Than a Given Magnitude"]
-
A.
historicalProject
Indicates a relationship where an entity is or was involved in, associated with, or characterized by a project of historical significance or from a past period.
-
B.
historicalReference
Indicates that one entity refers to, cites, or alludes to another entity from an earlier time or historical context.
-
C.
historicalForm
Indicates that one entity is an earlier or historically attested form or variant of another entity.
-
D.
historicalMethod
Indicates that a particular method, approach, or technique was used in the past, typically in a historical context or during a previous period of activity.
-
E.
historicalScript
Indicates that an entity is or was written in, or otherwise associated with, a particular historical writing system or script.
- 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_69a88a1c450c81909f61abb8b6863885 |
completed | March 4, 2026, 7:38 p.m. |
| NER | Named-entity recognition | batch_69abc87827d88190bb2351a688e6de32 |
completed | March 7, 2026, 6:40 a.m. |
| NED1 | Entity disambiguation (via context triple) | batch_69aeb3da0978819094584cb23194fb3a |
completed | March 9, 2026, 11:49 a.m. |
| PD | Predicate disambiguation | batch_69abc5a3825c81909ec6111dfc165453 |
completed | March 7, 2026, 6:28 a.m. |
| PDg | Predicate description generation | batch_69abc664317c8190a6bb5a5065c21bde |
completed | March 7, 2026, 6:32 a.m. |
Created at: March 4, 2026, 7:57 p.m.