Triple
T9700424
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Sommerfeld expansion in statistical mechanics |
E234761
|
entity |
| Predicate | appliesTo |
P1129
|
FINISHED |
| Object | Fermi–Dirac distribution |
E4993
|
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: Fermi–Dirac distribution | Statement: [Sommerfeld expansion in statistical mechanics, appliesTo, Fermi–Dirac distribution]
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Fermi–Dirac distribution Context triple: [Sommerfeld expansion in statistical mechanics, appliesTo, Fermi–Dirac distribution]
-
A.
Fermi–Dirac statistics
chosen
Fermi–Dirac statistics is the quantum statistical framework that describes the distribution and behavior of indistinguishable fermions, such as electrons, which obey the Pauli exclusion principle.
-
B.
Bose–Einstein statistics
Bose–Einstein statistics is a quantum statistical framework that describes the distribution and collective behavior of indistinguishable bosons, underpinning phenomena such as Bose–Einstein condensation.
-
C.
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.
-
D.
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.
-
E.
Fermi gas
A Fermi gas is a quantum many-particle system composed of fermions that obey Fermi–Dirac statistics, often used to model electrons in metals, neutrons in neutron stars, and ultracold atomic gases.
- 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_69ca84cb580c8190a7e5f4b3bcdaf2a4 |
completed | March 30, 2026, 2:12 p.m. |
| NER | Named-entity recognition | batch_69cd9d6eab0c8190abac1b009d625975 |
completed | April 1, 2026, 10:34 p.m. |
| NED1 | Entity disambiguation (via context triple) | batch_69d1912e645881908d223a93f3ee61da |
completed | April 4, 2026, 10:31 p.m. |
Created at: March 30, 2026, 8:18 p.m.