Triple

T16876427
Position Surface form Disambiguated ID Type / Status
Subject Finite Operator Calculus E421310 entity
Predicate formalizedIn P6279 FINISHED
Object Finite Operator Calculus (book) E421310 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: Finite Operator Calculus (book) | Statement: [Finite Operator Calculus, formalizedIn, Finite Operator Calculus (book)]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07 
Target entity: Finite Operator Calculus (book)
Context triple: [Finite Operator Calculus, formalizedIn, Finite Operator Calculus (book)]
  • A. Finite Operator Calculus chosen
    Finite Operator Calculus is a mathematical framework, developed and popularized by Gian-Carlo Rota, that systematically studies sequences of polynomials and discrete analogues of differential operators using algebraic and combinatorial methods.
  • B. Hilbert–Schmidt operators
    Hilbert–Schmidt operators are a class of compact operators on Hilbert spaces characterized by having finite Hilbert–Schmidt norm, playing a central role in functional analysis and operator theory.
  • C. Operational Methods in Mathematical Physics
    Operational Methods in Mathematical Physics is a classic mathematical physics text by Harold Jeffreys that develops and applies operational calculus techniques to solve differential equations and other problems in theoretical physics.
  • D. Theory of Linear Operations
    Theory of Linear Operations is a foundational 1932 monograph by Stefan Banach that systematically developed functional analysis and the theory of Banach spaces.
  • E. Leçons d’analyse fonctionnelle
    Leçons d’analyse fonctionnelle is a foundational textbook in functional analysis that helped shape the modern theory of linear operators and Banach and Hilbert spaces.
  • 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_69d889d470fc8190b4aec199636c0c56 completed April 10, 2026, 5:25 a.m.
NER Named-entity recognition batch_69e3b7f704a081909921d00b3c470472 completed April 18, 2026, 4:57 p.m.
NED1 Entity disambiguation (via context triple) batch_6a00c2b4abd08190841c5bb0b0eaa177 completed May 10, 2026, 5:39 p.m.
Created at: April 10, 2026, 5:29 a.m.