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the claim
The partition function is divided by h to the 3N times N factorial
the verdict
COMMON KNOWLEDGE
no citation needed for this one
refutedsupported
the weight of evidence
no sources on either side

The expression for the classical partition function of an ideal gas involving Planck's constant and the factorial of the particle number is a foundational textbook formula in statistical mechanics, representing standard background knowledge that does not require citation.

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The analysis

The claim states the standard expression for the classical partition function of $N$ identical particles ($Z = \frac{1}{N! h^{3N}} \int \dots$). This is a definition and a fundamental result taught in standard physics coursework, making it common knowledge not requiring specific paper citations.

Everything we examined (12)
  1. Software for the frontiers of quantum chemistry: An overview of developments in the Q-Chem 5 package.peer-reviewedno side takennot shown: read and judged not to bear on this claim
  2. Big-Data Science in Porous Materials: Materials Genomics and Machine Learning.peer-reviewedno side takennot shown: read and judged not to bear on this claim
  3. Effect of blending Jersey and Holstein-Friesian milk on Cheddar cheese processing, composition, and quality.peer-reviewedno side takennot shown: read and judged not to bear on this claim
  4. Phase space considerations for interacting particles obeying the Fokker–Planck equationpeer-reviewedno side takennot shown: read and judged not to bear on this claim
  5. The concept ‘indistinguishable’peer-reviewedno side takennot shown: read and judged not to bear on this claim
  6. The Phase Space Elementary Cell in Classical and Generalized Statisticspeer-reviewedno side takennot shown: read and judged not to bear on this claim
  7. Phase Space Cell in Nonextensive Classical Systemspeer-reviewedno side takennot shown: read and judged not to bear on this claim
  8. Statistical Mechanics of Linear <i>k</i>-mer Lattice Gases: From Theory to Applications.peer-reviewedno side takennot shown: read and judged not to bear on this claim
  9. Coherent multiple scattering in small-angle scattering experiments: modeling approximations based on the Born expansion.peer-reviewedno side takennot shown: read and judged not to bear on this claim
  10. The Classical Limit of the Partition Function in Statistical Mechanicspeer-reviewedno side takennot shown: read and judged not to bear on this claim
  11. The Wafold: Curvature-Driven Termination and Dimensional Compression in Black Holes.peer-reviewedno side takennot shown: read and judged not to bear on this claim
  12. Single-Particle Entanglement Dynamics in Complex Systems.peer-reviewedno side takennot shown: read and judged not to bear on this claim
The paper trail · every fact has a biography
first checked05 Aug 2026
judged → COMMON KNOWLEDGE · 9505 Aug 2026
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