Triple
T1462673
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Pauli exclusion principle |
E31547
|
entity |
| Predicate | relatedTo |
P37
|
FINISHED |
| Object |
spin–statistics theorem
The spin–statistics theorem is a fundamental result in quantum field theory that links a particle’s intrinsic spin to the type of quantum statistics it obeys, explaining why fermions obey the Pauli exclusion principle while bosons do not.
|
E166678
|
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: spin–statistics theorem | Statement: [Pauli exclusion principle, relatedTo, spin–statistics theorem]
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: spin–statistics theorem Context triple: [Pauli exclusion principle, relatedTo, spin–statistics theorem]
-
A.
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.
-
B.
Wick’s theorem
Wick’s theorem is a fundamental result in quantum field theory that expresses time-ordered products of field operators as sums of normal-ordered products with all possible contractions, forming the basis for deriving Feynman rules and diagrammatic expansions.
-
C.
Fermi–Dirac statistics
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.
-
D.
Dirac field
The Dirac field is a quantum field describing spin-½ fermions, such as electrons and quarks, incorporating both special relativity and quantum mechanics.
-
E.
Gell-Mann–Low theorem
The Gell-Mann–Low theorem is a fundamental result in quantum field theory that rigorously connects interacting quantum fields to free fields via the adiabatic switching-on of interactions, underpinning the use of perturbation theory and the Dyson series.
- 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: spin–statistics theorem Triple: [Pauli exclusion principle, relatedTo, spin–statistics theorem]
Generated description
The spin–statistics theorem is a fundamental result in quantum field theory that links a particle’s intrinsic spin to the type of quantum statistics it obeys, explaining why fermions obey the Pauli exclusion principle while bosons do not.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: spin–statistics theorem Target entity description: The spin–statistics theorem is a fundamental result in quantum field theory that links a particle’s intrinsic spin to the type of quantum statistics it obeys, explaining why fermions obey the Pauli exclusion principle while bosons do not.
-
A.
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.
-
B.
Wick’s theorem
Wick’s theorem is a fundamental result in quantum field theory that expresses time-ordered products of field operators as sums of normal-ordered products with all possible contractions, forming the basis for deriving Feynman rules and diagrammatic expansions.
-
C.
Fermi–Dirac statistics
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.
-
D.
Dirac field
The Dirac field is a quantum field describing spin-½ fermions, such as electrons and quarks, incorporating both special relativity and quantum mechanics.
-
E.
Gell-Mann–Low theorem
The Gell-Mann–Low theorem is a fundamental result in quantum field theory that rigorously connects interacting quantum fields to free fields via the adiabatic switching-on of interactions, underpinning the use of perturbation theory and the Dyson series.
- 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_69a49917dfc081909acdbdf5d684f1ef |
completed | March 1, 2026, 7:52 p.m. |
| NER | Named-entity recognition | batch_69a4c5b6e36c81909c47b2f7e66f17d7 |
completed | March 1, 2026, 11:03 p.m. |
| NED1 | Entity disambiguation (via context triple) | batch_69ad0e7ab538819090bc3e3ed1bbff64 |
completed | March 8, 2026, 5:51 a.m. |
| NEDg | Description generation | batch_69ad0f5106fc8190ab03c4e5a0287424 |
completed | March 8, 2026, 5:55 a.m. |
| NED2 | Entity disambiguation (via description) | batch_69ad0fa4c7d48190ac84267c16c6eb00 |
completed | March 8, 2026, 5:56 a.m. |
Created at: March 1, 2026, 8 p.m.