Triple

T16150849
Position Surface form Disambiguated ID Type / Status
Subject Chern character E391904 entity
Predicate isHomomorphismOf P69858 FINISHED
Object rings LITERAL 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: rings | Statement: [Chern character, isHomomorphismOf, rings]
PD Predicate disambiguation gpt-5-mini-2025-08-07
Target predicate: isHomomorphismOf
Context triple: [Chern character, isHomomorphismOf, rings]
  • A. hasHomomorphism chosen
    Indicates that there exists a structure-preserving map (homomorphism) from one mathematical structure to another.
  • B. isIsomorphicTo
    Indicates that two structures have a one-to-one, structure-preserving correspondence between their elements, making them equivalent in form even if not identical in content.
  • C. isAutomorphismGroupOf
    Indicates that a group is the full automorphism group consisting of all structure-preserving bijections (automorphisms) of a given mathematical object.
  • D. isAssociativeUpToIsomorphism
    Indicates that a binary operation is associative in a structural sense, meaning any two ways of parenthesizing a finite product are related by a canonical isomorphism rather than strict equality.
  • E. hasAutomorphism
    Indicates that there exists a structure-preserving bijection from an entity to itself that maintains all relevant relations and operations.
  • F. None of above.

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_69d87f1c65e48190aa2b4c472e9bafc4 completed April 10, 2026, 4:39 a.m.
NER Named-entity recognition batch_69e21d9724808190a8332987583a345a completed April 17, 2026, 11:46 a.m.
PD Predicate disambiguation batch_69e1828abb608190a99d86bce1d77de2 completed April 17, 2026, 12:44 a.m.
Created at: April 10, 2026, 5:01 a.m.