Triple

T11576294
Position Surface form Disambiguated ID Type / Status
Subject Joseph Bernstein E274511 entity
Predicate notableConcept P201 FINISHED
Object Bernstein–Sato polynomial E934438 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: Bernstein–Sato polynomial | Statement: [Joseph Bernstein, notableConcept, Bernstein–Sato polynomial]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Bernstein–Sato polynomial
Context triple: [Joseph Bernstein, notableConcept, Bernstein–Sato polynomial]
  • A. Bernstein–Sato polynomial chosen
    The Bernstein–Sato polynomial is a fundamental object in algebraic analysis and singularity theory that encodes deep information about the behavior of functions and their singularities via differential equations.
  • B. Hilbert polynomial
    The Hilbert polynomial is an algebraic invariant that encodes the asymptotic growth of the dimension of graded components of a module or the number of independent conditions imposed by a projective variety.
  • C. Symanzik polynomials
    Symanzik polynomials are graph-based polynomials that arise in the parametric representation of Feynman integrals in quantum field theory, encoding the topology and kinematic dependence of Feynman diagrams.
  • D. Singular Points of Complex Hypersurfaces
    "Singular Points of Complex Hypersurfaces" is a foundational monograph in singularity theory that systematically studies the local and topological properties of singularities arising in complex algebraic and analytic hypersurfaces.
  • E. Hilbert’s fourteenth problem
    Hilbert’s fourteenth problem is one of David Hilbert’s famous list of 23 problems, concerning the finite generation of certain algebras of invariants in algebraic geometry and invariant theory.
  • 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_69d6aae5ac3c81908d2b0a3a665665b2 completed April 8, 2026, 7:22 p.m.
NER Named-entity recognition batch_69d89049721081909278adfada668ef9 completed April 10, 2026, 5:53 a.m.
NED1 Entity disambiguation (via context triple) batch_69e8a78d80448190a93ca0ebfbd7e3a4 completed April 22, 2026, 10:48 a.m.
Created at: April 8, 2026, 9:38 p.m.