Triple

T2373392
Position Surface form Disambiguated ID Type / Status
Subject Boltzmann distribution E46139 entity
Predicate relatedTo P37 FINISHED
Object Boltzmann factor
The Boltzmann factor is the exponential weight \(e^{-E/(k_BT)}\) that gives the relative probability of a system occupying a state of energy \(E\) at temperature \(T\) in statistical mechanics.
E46139 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: Boltzmann factor | Statement: [Boltzmann distribution, relatedTo, Boltzmann factor]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Boltzmann factor
Context triple: [Boltzmann distribution, relatedTo, Boltzmann factor]
  • A. Boltzmann distribution
    The Boltzmann distribution is a fundamental probability distribution in statistical mechanics that describes how particles or states are populated over different energy levels at thermal equilibrium.
  • B. Maxwell–Boltzmann statistics
    Maxwell–Boltzmann statistics is a classical statistical framework in physics that describes the distribution of speeds or energies among distinguishable, non-quantum particles in thermal equilibrium.
  • C. Boltzmann constant
    The Boltzmann constant is a fundamental physical constant that links temperature to energy at the particle level, playing a central role in statistical mechanics and thermodynamics.
  • 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. Boltzmann equation
    The Boltzmann equation is a fundamental kinetic theory equation that describes the statistical behavior and time evolution of a dilute gas or particle distribution in phase space due to streaming and collisions.
  • 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: Boltzmann factor
Triple: [Boltzmann distribution, relatedTo, Boltzmann factor]
Generated description
The Boltzmann factor is the exponential weight \(e^{-E/(k_BT)}\) that gives the relative probability of a system occupying a state of energy \(E\) at temperature \(T\) in statistical mechanics.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Boltzmann factor
Target entity description: The Boltzmann factor is the exponential weight \(e^{-E/(k_BT)}\) that gives the relative probability of a system occupying a state of energy \(E\) at temperature \(T\) in statistical mechanics.
  • A. Boltzmann distribution chosen
    The Boltzmann distribution is a fundamental probability distribution in statistical mechanics that describes how particles or states are populated over different energy levels at thermal equilibrium.
  • B. Maxwell–Boltzmann statistics
    Maxwell–Boltzmann statistics is a classical statistical framework in physics that describes the distribution of speeds or energies among distinguishable, non-quantum particles in thermal equilibrium.
  • C. Boltzmann constant
    The Boltzmann constant is a fundamental physical constant that links temperature to energy at the particle level, playing a central role in statistical mechanics and thermodynamics.
  • 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. Boltzmann equation
    The Boltzmann equation is a fundamental kinetic theory equation that describes the statistical behavior and time evolution of a dilute gas or particle distribution in phase space due to streaming and collisions.
  • F. None of above.

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_69a88a145268819083e2736cb835c696 completed March 4, 2026, 7:37 p.m.
NER Named-entity recognition batch_69abc772bc6081908244e9af4bbe645f completed March 7, 2026, 6:36 a.m.
NED1 Entity disambiguation (via context triple) batch_69aea8a619d48190b1e1ad4c3efaf130 completed March 9, 2026, 11:01 a.m.
NEDg Description generation batch_69aea93ddce88190a268bed11c5a7167 completed March 9, 2026, 11:04 a.m.
NED2 Entity disambiguation (via description) batch_69aea9b8dff08190a09f0c965dfd6738 completed March 9, 2026, 11:06 a.m.
Created at: March 4, 2026, 7:56 p.m.