Triple

T7011064
Position Surface form Disambiguated ID Type / Status
Subject Richard Dedekind E162579 entity
Predicate hasConceptNamedAfter P3325 FINISHED
Object Dedekind domain E621104 NE FINISHED

How this triple was built (2 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: Dedekind domain | Statement: [Richard Dedekind, hasConceptNamedAfter, Dedekind domain]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Dedekind domain
Context triple: [Richard Dedekind, hasConceptNamedAfter, Dedekind domain]
  • A. Dedekind domain chosen
    A Dedekind domain is an integral domain in which every nonzero proper ideal factors uniquely into a product of prime ideals, playing a central role in algebraic number theory and the study of rings of integers in number fields.
  • B. Dedekind ideal
    A Dedekind ideal is a type of ideal in ring theory central to algebraic number theory, particularly in the study of Dedekind domains and unique factorization of ideals.
  • C. Euclidean domains
    Euclidean domains are a class of integral domains that admit a division algorithm based on a Euclidean function, generalizing the arithmetic of the integers and enabling efficient computation of greatest common divisors.
  • D. Noetherian rings
    Noetherian rings are a fundamental class of rings in commutative algebra characterized by the property that every ascending chain of ideals stabilizes, ensuring that all ideals are finitely generated.
  • E. Henselian ring
    A Henselian ring is a local ring in which Hensel’s lemma holds, allowing certain types of polynomial factorizations and root liftings from the residue field to the ring itself.
  • F. None of above.
  • G. Unsure - the case is ambiguous/there is not enough information to decide.

Provenance (3 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_69c6885a127c8190867b059bdccf13ff completed March 27, 2026, 1:38 p.m.
NER Named-entity recognition batch_69c6dc5729448190af66dbd6f3e8936e completed March 27, 2026, 7:36 p.m.
NED1 Entity disambiguation (via context triple) batch_69c775612fe88190822f297f2bec6cd1 completed March 28, 2026, 6:29 a.m.
Created at: March 27, 2026, 2:34 p.m.