Triple

T15562305
Position Surface form Disambiguated ID Type / Status
Subject Lippmann–Schwinger equation E371027 entity
Predicate relatedTo P37 FINISHED
Object Dyson equation E130660 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: Dyson equation | Statement: [Lippmann–Schwinger equation, relatedTo, Dyson equation]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Dyson equation
Context triple: [Lippmann–Schwinger equation, relatedTo, Dyson equation]
  • A. Dyson’s formula
    Dyson’s formula is a key expression in quantum field theory that provides the perturbative expansion of time-ordered exponentials, forming the basis of the Dyson series used to compute interaction effects.
  • B. Dyson integral
    The Dyson integral is a multidimensional integral arising in random matrix theory and statistical physics that evaluates averages over eigenvalue distributions with logarithmic interactions.
  • C. Schwinger–Dyson equations chosen
    The Schwinger–Dyson equations are a set of integral equations in quantum field theory that relate correlation functions and encode the full dynamics of a quantum field.
  • D. Yang–Yang equation
    The Yang–Yang equation is a fundamental integral equation in statistical mechanics that describes the thermodynamic properties of one-dimensional interacting Bose gases within the Bethe ansatz framework.
  • E. Liouville equation
    The Liouville equation is a fundamental differential equation in statistical mechanics and Hamiltonian dynamics that governs the time evolution of a system’s phase-space probability density.
  • 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_69d85cc6cf40819091f4a5facee1ebe6 completed April 10, 2026, 2:13 a.m.
NER Named-entity recognition batch_69e04ddc66448190948280fb0c8d390c completed April 16, 2026, 2:47 a.m.
NED1 Entity disambiguation (via context triple) batch_69ff456821988190971539b683f6c656 completed May 9, 2026, 2:32 p.m.
Created at: April 10, 2026, 4:09 a.m.