Triple

T15522178
Position Surface form Disambiguated ID Type / Status
Subject Lieb–Liniger model E368994 entity
Predicate solvedBy P8791 FINISHED
Object Bethe ansatz E75706 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: Bethe ansatz | Statement: [Lieb–Liniger model, solvedBy, Bethe ansatz]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Bethe ansatz
Context triple: [Lieb–Liniger model, solvedBy, Bethe ansatz]
  • A. Bethe ansatz chosen
    The Bethe ansatz is a powerful method in theoretical physics for exactly solving certain one-dimensional quantum many-body systems by reducing them to algebraic equations for particle momenta.
  • B. Yang–Baxter equation
    The Yang–Baxter equation is a fundamental consistency condition in mathematical physics and integrable systems that underlies exactly solvable models, quantum groups, and braid group representations.
  • C. quantum inverse scattering method
    The quantum inverse scattering method is a powerful algebraic framework for solving exactly integrable quantum many-body systems, closely connected to and extending the Bethe ansatz.
  • D. Bethe–Salpeter equation
    The Bethe–Salpeter equation is a relativistic quantum field theory equation that describes bound states of two interacting particles, such as electron–hole pairs in quantum electrodynamics.
  • E. Onsager algebra
    The Onsager algebra is an infinite-dimensional Lie algebra introduced in the study of exactly solvable models in statistical mechanics, particularly the two-dimensional Ising model.
  • 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_69d85a1794cc8190b0b428716296e63e completed April 10, 2026, 2:01 a.m.
NER Named-entity recognition batch_69e0403543188190abac49d2b9decb89 completed April 16, 2026, 1:49 a.m.
NED1 Entity disambiguation (via context triple) batch_69ff4552a8dc819082cb6c31a2c05606 completed May 9, 2026, 2:31 p.m.
Created at: April 10, 2026, 4:04 a.m.