Triple

T998595
Position Surface form Disambiguated ID Type / Status
Subject Constantin Carathéodory E21550 entity
Predicate notableWork P4 FINISHED
Object 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.
E118707 NE FINISHED

How this triple was built (4 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: Carathéodory’s formulation of the second law of thermodynamics | Statement: [Constantin Carathéodory, notableWork, Carathéodory’s formulation of the second law of thermodynamics]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Carathéodory’s formulation of the second law of thermodynamics
Context triple: [Constantin Carathéodory, notableWork, Carathéodory’s formulation of the second law of thermodynamics]
  • A. 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.
  • B. H-theorem
    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.
  • C. Shannon–Khinchin axioms
    The Shannon–Khinchin axioms are a set of fundamental conditions that uniquely characterize Shannon entropy as the standard measure of information and uncertainty in probability theory and information theory.
  • D. Sackur–Tetrode equation
    The Sackur–Tetrode equation is a fundamental formula in statistical mechanics that gives the absolute entropy of an ideal monatomic gas in terms of its volume, temperature, and particle number.
  • E. Landauer's principle
    Landauer's principle is a foundational concept in thermodynamics and information theory stating that erasing one bit of information in a computational process necessarily dissipates a minimum amount of heat, linking information processing to physical entropy.
  • F. None of above. chosen
  • G. Unsure - the case is ambiguous/there is not enough information to decide.
NEDg Description generation gpt-5.1
Instruction
Generate a one-sentence description of the target entity. 
You are given a context triple in the form (subject, predicate, object), where the object is the target entity. 
# Instructions
Use the triple to infer relevant information about the entity. Describe the entity based on what is most defining, well-known. 
Avoid repeating the information from the triple, unless really essential.
# Response Format
Return only the sentence: "Description: [one-sentence description of the target entity]"
Input
Entity: Carathéodory’s formulation of the second law of thermodynamics
Triple: [Constantin Carathéodory, notableWork, Carathéodory’s formulation of the second law of thermodynamics]
Generated description
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.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Carathéodory’s formulation of the second law of thermodynamics
Target entity description: 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.
  • A. 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.
  • B. H-theorem
    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.
  • C. Shannon–Khinchin axioms
    The Shannon–Khinchin axioms are a set of fundamental conditions that uniquely characterize Shannon entropy as the standard measure of information and uncertainty in probability theory and information theory.
  • D. Sackur–Tetrode equation
    The Sackur–Tetrode equation is a fundamental formula in statistical mechanics that gives the absolute entropy of an ideal monatomic gas in terms of its volume, temperature, and particle number.
  • E. Landauer's principle
    Landauer's principle is a foundational concept in thermodynamics and information theory stating that erasing one bit of information in a computational process necessarily dissipates a minimum amount of heat, linking information processing to physical entropy.
  • F. None of above. chosen

Provenance (5 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_69a493c476b48190b41fc5e793171cc6 completed March 1, 2026, 7:30 p.m.
NER Named-entity recognition batch_69a4b4e2ad9c81908a0f488d3f261fc3 completed March 1, 2026, 9:51 p.m.
NED1 Entity disambiguation (via context triple) batch_69ac2a1aab68819091537958818fce48 completed March 7, 2026, 1:37 p.m.
NEDg Description generation batch_69ac2a9b66b48190a3c14c431fe41c1e completed March 7, 2026, 1:39 p.m.
NED2 Entity disambiguation (via description) batch_69ac2b18ea44819086cd9ead0d8e0d01 completed March 7, 2026, 1:41 p.m.
Created at: March 1, 2026, 7:41 p.m.