Triple

T23367460
Position Surface form Disambiguated ID Type / Status
Subject Max Karoubi E593363 entity
Predicate fieldOfWork P3 FINISHED
Object K-theory E255574 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: K-theory | Statement: [Max Karoubi, fieldOfWork, K-theory]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: K-theory
Context triple: [Max Karoubi, fieldOfWork, K-theory]
  • A. K-theory chosen
    K-theory is a branch of algebraic topology and algebraic geometry that studies vector bundles and generalized cohomology theories using algebraic and categorical methods.
  • B. Quillen K-theory
    Quillen K-theory is a sophisticated algebraic K-theory framework defined via higher K-groups of exact or Waldhausen categories, providing deep invariants of rings, schemes, and topological spaces that generalize and extend earlier constructions such as Milnor K-theory.
  • C. Milnor K-theory
    Milnor K-theory is an algebraic K-theory constructed from fields using tensor powers of their multiplicative groups modulo Steinberg relations, playing a central role in modern algebraic geometry and number theory.
  • D. Introduction to Algebraic K-Theory
    Introduction to Algebraic K-Theory is a foundational graduate-level textbook by John Milnor that systematically develops the basic concepts and techniques of algebraic K-theory in a concise and influential style.
  • E. “K-Theory” (book with Friedrich Hirzebruch and others)
    “K-Theory” is a foundational mathematical monograph co-authored by Michael Atiyah, Friedrich Hirzebruch, and others that systematically develops topological K-theory and its applications in geometry and topology.
  • 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_69e25d2593c88190bcdf4a716a94ccb2 completed April 17, 2026, 4:17 p.m.
NER Named-entity recognition batch_69f1a0ad621881908a909f236e6e9c90 completed April 29, 2026, 6:09 a.m.
NED1 Entity disambiguation (via context triple) batch_6a0c5dd964f081909aa71493fe6e07c7 completed May 19, 2026, 12:55 p.m.
Created at: April 17, 2026, 5:32 p.m.