Triple

T11961086
Position Surface form Disambiguated ID Type / Status
Subject Wightman functions E284669 entity
Predicate usedFor P98 FINISHED
Object Osterwalder–Schrader reconstruction via analytic continuation E59638 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: Osterwalder–Schrader reconstruction via analytic continuation | Statement: [Wightman functions, usedFor, Osterwalder–Schrader reconstruction via analytic continuation]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Osterwalder–Schrader reconstruction via analytic continuation
Context triple: [Wightman functions, usedFor, Osterwalder–Schrader reconstruction via analytic continuation]
  • A. Osterwalder–Schrader axioms chosen
    The Osterwalder–Schrader axioms are a set of mathematical conditions that characterize Euclidean quantum field theories in a way that allows them to be rigorously continued to physically meaningful relativistic quantum field theories.
  • B. Euclidean quantum field theory
    Euclidean quantum field theory is a formulation of quantum field theory in imaginary (Euclidean) time that enables rigorous mathematical treatment and path-integral representations closely connected to statistical mechanics.
  • C. Faddeev’s axioms
    Faddeev’s axioms are a set of conditions characterizing Shannon entropy in information theory, providing an alternative but equivalent axiomatization to the Shannon–Khinchin framework.
  • D. Schrödinger functional equation in field theory
    The Schrödinger functional equation in field theory is a generalization of the quantum-mechanical Schrödinger equation to quantum fields, describing the time evolution of wave functionals over field configurations.
  • E. Haag-Ruelle scattering theory
    Haag-Ruelle scattering theory is a rigorous framework in quantum field theory that constructs and analyzes scattering states and S-matrix elements from local fields under mathematically precise conditions.
  • 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_69d6ab2eaeb881909f7914758f859413 completed April 8, 2026, 7:23 p.m.
NER Named-entity recognition batch_69d9036941948190b150369094551731 completed April 10, 2026, 2:04 p.m.
NED1 Entity disambiguation (via context triple) batch_69f4592fa9a48190a0450e3d0c57c4d3 completed May 1, 2026, 7:41 a.m.
Created at: April 8, 2026, 9:45 p.m.