Triple

T12071209
Position Surface form Disambiguated ID Type / Status
Subject Zermelo recurrence objection E287425 entity
Predicate critiques P170 FINISHED
Object Boltzmann’s H-theorem E57430 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: Boltzmann’s H-theorem | Statement: [Zermelo recurrence objection, critiques, Boltzmann’s H-theorem]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07 
Target entity: Boltzmann’s H-theorem
Context triple: [Zermelo recurrence objection, critiques, Boltzmann’s H-theorem]
  • A. H-theorem chosen
    The H-theorem is Boltzmann’s foundational result in statistical mechanics that explains the irreversible increase of entropy in a gas from time-reversible microscopic dynamics, providing a key link between mechanics and the second law of thermodynamics.
  • B. Boltzmann–Gibbs entropy in statistical mechanics
    Boltzmann–Gibbs entropy in statistical mechanics is the standard measure of disorder or uncertainty in a system, quantifying how many microscopic configurations correspond to a given macroscopic state and forming the basis of classical equilibrium statistical mechanics.
  • C. Mathematical Foundations of Statistical Mechanics
    Mathematical Foundations of Statistical Mechanics is a classic monograph by Aleksandr Khinchin that rigorously develops the probabilistic and measure-theoretic underpinnings of statistical mechanics.
  • D. Carathéodory’s formulation of the second law of thermodynamics
    Carathéodory’s formulation of the second law of thermodynamics is a mathematically rigorous restatement of the second law based on the inaccessibility of certain thermodynamic states, providing a foundation for the concept of entropy without relying on cyclic processes or heat engines.
  • E. The Principles of Statistical Mechanics
    The Principles of Statistical Mechanics is a classic 1938 textbook by Richard C. Tolman that systematically develops the foundations of statistical mechanics and its applications to thermodynamics and physical chemistry.
  • 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_69d6ab4846e081908ee7bbd66a6d3459 completed April 8, 2026, 7:23 p.m.
NER Named-entity recognition batch_69d9045a507081909070ea37173d6f97 completed April 10, 2026, 2:08 p.m.
NED1 Entity disambiguation (via context triple) batch_69f5f65ccc788190942e16c56f2a495f completed May 2, 2026, 1:04 p.m.
Created at: April 8, 2026, 9:48 p.m.