Triple

T20439485

Position	Surface form	Disambiguated ID	Type / Status
Subject	Edmund Landau	`E501345`	entity
Predicate	notableWork	`P4`	FINISHED
Object	Grundlagen der Analysis Grundlagen der Analysis is a foundational textbook in mathematical analysis by Edmund Landau, renowned for its rigorous and axiomatic treatment of the real number system and calculus.	`E1430743`	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: Grundlagen der Analysis | Statement: [Edmund Landau, notableWork, Grundlagen der Analysis]

NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07

Target entity: Grundlagen der Analysis
Context triple: [Edmund Landau, notableWork, Grundlagen der Analysis]

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. Foundations of Modern Analysis
Foundations of Modern Analysis is a classic graduate-level textbook that systematically develops modern mathematical analysis using rigorous, abstract methods and functional analysis.
C. Mathematical Analysis: An Introduction
Mathematical Analysis: An Introduction is a rigorous introductory textbook by Andrew Browder that covers the foundations of real analysis for advanced undergraduates and beginning graduate students.
D. Functional Analysis: Introduction to Further Topics in Analysis
"Functional Analysis: Introduction to Further Topics in Analysis" is an advanced graduate-level textbook by Elias Stein that develops modern functional analysis with applications to areas such as operator theory, harmonic analysis, and partial differential equations.
E. Lezioni di analisi infinitesimale
Lezioni di analisi infinitesimale is a foundational textbook on differential and integral calculus written by Italian mathematician Ulisse Dini.
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: Grundlagen der Analysis
Triple: [Edmund Landau, notableWork, Grundlagen der Analysis]

Generated description

Grundlagen der Analysis is a foundational textbook in mathematical analysis by Edmund Landau, renowned for its rigorous and axiomatic treatment of the real number system and calculus.

NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07

Target entity: Grundlagen der Analysis
Target entity description: Grundlagen der Analysis is a foundational textbook in mathematical analysis by Edmund Landau, renowned for its rigorous and axiomatic treatment of the real number system and calculus.

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. Foundations of Modern Analysis
Foundations of Modern Analysis is a classic graduate-level textbook that systematically develops modern mathematical analysis using rigorous, abstract methods and functional analysis.
C. Mathematical Analysis: An Introduction
Mathematical Analysis: An Introduction is a rigorous introductory textbook by Andrew Browder that covers the foundations of real analysis for advanced undergraduates and beginning graduate students.
D. Functional Analysis: Introduction to Further Topics in Analysis
"Functional Analysis: Introduction to Further Topics in Analysis" is an advanced graduate-level textbook by Elias Stein that develops modern functional analysis with applications to areas such as operator theory, harmonic analysis, and partial differential equations.
E. Lezioni di analisi infinitesimale
Lezioni di analisi infinitesimale is a foundational textbook on differential and integral calculus written by Italian mathematician Ulisse Dini.
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_69e0b4ab3cfc8190ac9bf32e932316b1`	completed	April 16, 2026, 10:06 a.m.
NER	Named-entity recognition	`batch_69e685f20fe08190b9370b523a20153d`	completed	April 20, 2026, 8 p.m.
NED1	Entity disambiguation (via context triple)	`batch_6a0883fd1af88190a34aef615ec3a23e`	completed	May 16, 2026, 2:49 p.m.
NEDg	Description generation	`batch_6a0884d316148190b1fe155fc2dfbb7b`	completed	May 16, 2026, 2:53 p.m.
NED2	Entity disambiguation (via description)	`batch_6a088565cbcc81909b4bbc286d272ef6`	completed	May 16, 2026, 2:55 p.m.

Created at: April 16, 2026, 11:31 a.m.