Triple
T10388854
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Basic Number Theory |
E244837
|
entity |
| Predicate | series |
P1761
|
FINISHED |
| Object |
Die Grundlehren der mathematischen Wissenschaften
Die Grundlehren der mathematischen Wissenschaften is a renowned monograph series published by Springer that presents comprehensive, foundational treatments of major areas in mathematics.
|
E860098
|
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: Die Grundlehren der mathematischen Wissenschaften | Statement: [Basic Number Theory, series, Die Grundlehren der mathematischen Wissenschaften]
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Die Grundlehren der mathematischen Wissenschaften Context triple: [Basic Number Theory, series, Die Grundlehren der mathematischen Wissenschaften]
-
A.
Grundlagen der Mathematik
Grundlagen der Mathematik is a foundational two-volume work in mathematical logic and the philosophy of mathematics, co-authored by David Hilbert and Paul Bernays, that systematically develops proof theory and formalizes large parts of mathematics.
-
B.
The Foundations of Mathematics
The Foundations of Mathematics is a posthumously published collection of F. P. Ramsey’s influential papers on logic, philosophy of mathematics, and the foundations of knowledge.
-
C.
Princeton Mathematical Series
Princeton Mathematical Series is a renowned collection of advanced mathematics books published by Princeton University Press, featuring influential works by leading mathematicians.
-
D.
On the Common Mathematical Science
On the Common Mathematical Science is a Neoplatonic philosophical treatise by Iamblichus of Chalcis that explores the nature and role of mathematics within his broader metaphysical and theological system.
-
E.
Graduate Texts in Mathematics
Graduate Texts in Mathematics is a renowned series of advanced mathematics textbooks published by Springer, widely used for graduate-level study and reference across many areas of pure and applied mathematics.
- 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: Die Grundlehren der mathematischen Wissenschaften Triple: [Basic Number Theory, series, Die Grundlehren der mathematischen Wissenschaften]
Generated description
Die Grundlehren der mathematischen Wissenschaften is a renowned monograph series published by Springer that presents comprehensive, foundational treatments of major areas in mathematics.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: Die Grundlehren der mathematischen Wissenschaften Target entity description: Die Grundlehren der mathematischen Wissenschaften is a renowned monograph series published by Springer that presents comprehensive, foundational treatments of major areas in mathematics.
-
A.
Grundlagen der Mathematik
Grundlagen der Mathematik is a foundational two-volume work in mathematical logic and the philosophy of mathematics, co-authored by David Hilbert and Paul Bernays, that systematically develops proof theory and formalizes large parts of mathematics.
-
B.
The Foundations of Mathematics
The Foundations of Mathematics is a posthumously published collection of F. P. Ramsey’s influential papers on logic, philosophy of mathematics, and the foundations of knowledge.
-
C.
Princeton Mathematical Series
Princeton Mathematical Series is a renowned collection of advanced mathematics books published by Princeton University Press, featuring influential works by leading mathematicians.
-
D.
On the Common Mathematical Science
On the Common Mathematical Science is a Neoplatonic philosophical treatise by Iamblichus of Chalcis that explores the nature and role of mathematics within his broader metaphysical and theological system.
-
E.
Graduate Texts in Mathematics
Graduate Texts in Mathematics is a renowned series of advanced mathematics textbooks published by Springer, widely used for graduate-level study and reference across many areas of pure and applied mathematics.
- 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_69d381b5116081908d85227bab6d3c0c |
completed | April 6, 2026, 9:49 a.m. |
| NER | Named-entity recognition | batch_69d4e9b40dd8819080ac839487020a44 |
completed | April 7, 2026, 11:25 a.m. |
| NED1 | Entity disambiguation (via context triple) | batch_69d795b2423c8190a7c0e9b6fcbcc6db |
completed | April 9, 2026, 12:04 p.m. |
| NEDg | Description generation | batch_69d7998acbf881909b6f063c4bf2d0a6 |
completed | April 9, 2026, 12:20 p.m. |
| NED2 | Entity disambiguation (via description) | batch_69d79aa0cc5481908bc14cda8fb6e8b1 |
completed | April 9, 2026, 12:25 p.m. |
Created at: April 6, 2026, 12:05 p.m.