Triple

T1382010
Position Surface form Disambiguated ID Type / Status
Subject Disquisitiones Arithmeticae E29358 entity
Predicate hasInfluencedPerson P1994 FINISHED
Object Richard Dedekind
Richard Dedekind was a 19th-century German mathematician renowned for his foundational work in abstract algebra and number theory, including the introduction of Dedekind cuts and ideals.
E162579 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: Richard Dedekind | Statement: [Disquisitiones Arithmeticae, hasInfluencedPerson, Richard Dedekind]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Richard Dedekind
Context triple: [Disquisitiones Arithmeticae, hasInfluencedPerson, Richard Dedekind]
  • A. Leopold Kronecker
    Leopold Kronecker was a 19th-century German mathematician known for his work in number theory, algebra, and logic, and for his influential finitist and constructivist views on mathematics.
  • B. Ernst Eduard Kummer
    Ernst Eduard Kummer was a 19th-century German mathematician renowned for his foundational work in number theory, particularly on ideal numbers and Fermat's Last Theorem.
  • C. Rudolf Lipschitz
    Rudolf Lipschitz was a 19th-century German mathematician known for foundational work in analysis and differential equations, including the Lipschitz continuity condition that underpins key existence and uniqueness results.
  • D. Kurt Hensel
    Kurt Hensel was a German mathematician best known for introducing p-adic numbers, which became fundamental in number theory and algebraic geometry.
  • E. Felix Klein
    Felix Klein was a German mathematician renowned for his work in group theory, non-Euclidean geometry, and the Erlangen Program, which redefined the foundations of geometry.
  • 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: Richard Dedekind
Triple: [Disquisitiones Arithmeticae, hasInfluencedPerson, Richard Dedekind]
Generated description
Richard Dedekind was a 19th-century German mathematician renowned for his foundational work in abstract algebra and number theory, including the introduction of Dedekind cuts and ideals.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Richard Dedekind
Target entity description: Richard Dedekind was a 19th-century German mathematician renowned for his foundational work in abstract algebra and number theory, including the introduction of Dedekind cuts and ideals.
  • A. Leopold Kronecker
    Leopold Kronecker was a 19th-century German mathematician known for his work in number theory, algebra, and logic, and for his influential finitist and constructivist views on mathematics.
  • B. Ernst Eduard Kummer
    Ernst Eduard Kummer was a 19th-century German mathematician renowned for his foundational work in number theory, particularly on ideal numbers and Fermat's Last Theorem.
  • C. Rudolf Lipschitz
    Rudolf Lipschitz was a 19th-century German mathematician known for foundational work in analysis and differential equations, including the Lipschitz continuity condition that underpins key existence and uniqueness results.
  • D. Kurt Hensel
    Kurt Hensel was a German mathematician best known for introducing p-adic numbers, which became fundamental in number theory and algebraic geometry.
  • E. Felix Klein
    Felix Klein was a German mathematician renowned for his work in group theory, non-Euclidean geometry, and the Erlangen Program, which redefined the foundations of geometry.
  • 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_69a498d883a48190bfdca525296ef7ee completed March 1, 2026, 7:51 p.m.
NER Named-entity recognition batch_69a4c3361bf08190b3f6bbf82e17685b completed March 1, 2026, 10:52 p.m.
NED1 Entity disambiguation (via context triple) batch_69ace56940408190aeba5a342ae3ab17 completed March 8, 2026, 2:56 a.m.
NEDg Description generation batch_69ace5fb515081908acadef0303b8f6e completed March 8, 2026, 2:59 a.m.
NED2 Entity disambiguation (via description) batch_69ace9ba4b3481908d03636d8f72d04c completed March 8, 2026, 3:15 a.m.
Created at: March 1, 2026, 7:59 p.m.