Triple

T11961819
Position Surface form Disambiguated ID Type / Status
Subject Wightman axioms E284685 entity
Predicate relatedTo P37 FINISHED
Object Haag–Kastler axioms E956266 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: Haag–Kastler axioms | Statement: [Wightman axioms, relatedTo, Haag–Kastler axioms]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Haag–Kastler axioms
Context triple: [Wightman axioms, relatedTo, Haag–Kastler axioms]
  • A. Haag-Kastler axioms chosen
    The Haag-Kastler axioms are a foundational set of mathematical principles that rigorously define quantum field theory in terms of operator algebras associated with regions of spacetime.
  • B. Osterwalder–Schrader axioms
    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.
  • C. Wightman axioms
    The Wightman axioms are a set of rigorous mathematical conditions that formalize relativistic quantum field theory in terms of operator-valued distributions on Hilbert space.
  • D. 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.
  • E. Atiyah–Segal axioms
    The Atiyah–Segal axioms are a set of mathematical conditions that rigorously define topological quantum field theories as functorial assignments from geometric data to algebraic structures.
  • 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_69d9037848f481908276716675464464 completed April 10, 2026, 2:04 p.m.
NED1 Entity disambiguation (via context triple) batch_69f471d625c88190baed4ea08853988a completed May 1, 2026, 9:26 a.m.
Created at: April 8, 2026, 9:45 p.m.