Paper Citation Record · LEDGER

Solving the Gibbs Paradox by Local Free Space and Collision Potential

As of 15 August 2026, this Paper Citation Record lists 40 of 40 outbound references and 0 inbound Pith citation observations for arXiv:2608.08457.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2608.08457 v1

Coverage vector

measured 40 of 40 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T04:40:57.318118Z

measured 40 of 40 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-15T06:32:42.880941+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: cited_works

Reference resolution

40 of 40 outbound references displayed

verified exact12
verified fuzzy15
unresolved13
parse uncertain0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation a8911505-91ef-4e58-8491-fc18afef7c36 · outbound

This paper cites an unresolved cited work.

Solving the Gibbs Paradox by Local Free Space and Collision Potential Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-08-14T04:40:58.199700Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation f54b5f43-a77c-43cc-aaa6-a628da1a8c4e · outbound

This paper cites an unresolved cited work.

Solving the Gibbs Paradox by Local Free Space and Collision Potential Unresolved cited work

Reference 2

Resolution: unresolved; raw_fallback, observed 2026-08-14T04:40:58.180547Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation d1713dbe-c04b-45d2-acc6-e8c22f35da4e · outbound

This paper cites It attributes the mixing phenomenon entirely to a new driving force of information loss, and the information entropy will increase.

Solving the Gibbs Paradox by Local Free Space and Collision Potential It attributes the mixing phenomenon entirely to a new driving force of information loss, and the information entropy will increase

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T04:40:58.164670Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation bd85c2fb-3137-4898-8fd4-886c890688b5 · outbound

This paper cites They argued that from a thermodynamic perspective, when the same type of gas molecules are mixed, the thermodynamic entropy remains unchanged.

Solving the Gibbs Paradox by Local Free Space and Collision Potential They argued that from a thermodynamic perspective, when the same type of gas molecules are mixed, the thermodynamic entropy remains unchanged

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T04:40:58.148028Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 707dd8b7-934d-4404-8e5c-378346d030ee · outbound

This paper cites Under this new framework, the entropy of the system is a continuous function of dimensiond, fundamentally eliminating the mathematical discontinuity that led to the paradox.

Solving the Gibbs Paradox by Local Free Space and Collision Potential Under this new framework, the entropy of the system is a continuous function of dimensiond, fundamentally eliminating the mathematical discontinuity that led to the paradox

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T04:40:58.131245Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation f31b9e24-471b-4cc6-90f9-cd65908b5577 · outbound

This paper cites an unresolved cited work.

Solving the Gibbs Paradox by Local Free Space and Collision Potential Unresolved cited work

Reference 6

Resolution: unresolved; raw_fallback, observed 2026-08-14T04:40:58.102883Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 6112835d-f072-4352-9d66-4309df95ca07 · outbound

This paper cites Once a correct probability theory framework is adopted, the paradox will naturally be resolved.

Solving the Gibbs Paradox by Local Free Space and Collision Potential Once a correct probability theory framework is adopted, the paradox will naturally be resolved

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T04:40:58.084717Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 24816b8d-1be2-4ccc-974c-9de1b373a2f7 · outbound

This paper cites Since there is no heat exchange during the process and no work can be done externally.

Solving the Gibbs Paradox by Local Free Space and Collision Potential Since there is no heat exchange during the process and no work can be done externally

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T04:40:58.067638Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 7af75f8b-752e-4325-bc0c-57d66338af80 · outbound

This paper cites − p2 x +p 2 y +p 2 z 2m +ε ′ ! kT # d3pdV = 1 (2πℏ)3 Z exp.

Solving the Gibbs Paradox by Local Free Space and Collision Potential − p2 x +p 2 y +p 2 z 2m +ε ′ ! kT # d3pdV = 1 (2πℏ)3 Z exp

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T04:40:58.050092Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation fa74f7a2-0705-410f-af80-00f109166885 · outbound

This paper cites Wang,Thermodynamics and Statistical Physics, 5th ed., Higher Education Press, Beijing, 2013.

Solving the Gibbs Paradox by Local Free Space and Collision Potential Wang,Thermodynamics and Statistical Physics, 5th ed., Higher Education Press, Beijing, 2013

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T04:40:58.024337Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation c886a58f-40d3-461f-9ef9-ba113ce4b3cf · outbound

This paper cites an unresolved cited work.

Solving the Gibbs Paradox by Local Free Space and Collision Potential Unresolved cited work

Reference 11

Resolution: unresolved; raw_fallback, observed 2026-08-14T04:40:57.997042Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 1ded9dfb-cb4b-460f-ba01-95347cf6c10f · outbound

This paper cites Darrigol, The Gibbs paradox: Early history and solutions, Entropy 2018, 20, 443.

Solving the Gibbs Paradox by Local Free Space and Collision Potential Darrigol, The Gibbs paradox: Early history and solutions, Entropy 2018, 20, 443

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T04:40:57.978942Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation ba457785-e656-4d89-86fc-1dff3d399e36 · outbound

This paper cites Last change: 7 November 2009.

Solving the Gibbs Paradox by Local Free Space and Collision Potential Last change: 7 November 2009

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T04:40:57.961742Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 71a2d2e6-513f-4b7f-8041-ca48728aa6f8 · outbound

This paper cites an unresolved cited work.

Solving the Gibbs Paradox by Local Free Space and Collision Potential Unresolved cited work

Reference 14

Resolution: unresolved; raw_fallback, observed 2026-08-14T04:40:57.944665Z

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Observation 5cf9b177-50f6-4218-b12a-d0da6e12bb38 · outbound

This paper cites an unresolved cited work.

Solving the Gibbs Paradox by Local Free Space and Collision Potential Unresolved cited work

Reference 15

Resolution: unresolved; raw_fallback, observed 2026-08-14T04:40:57.920837Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation c7e10bcd-8a26-4797-a36e-77407fa84997 · outbound

This paper cites Casper, and S.

Solving the Gibbs Paradox by Local Free Space and Collision Potential Casper, and S

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T04:40:57.897661Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation d3917a76-25fe-40ca-bd7e-97fbad936d7d · outbound

This paper cites an unresolved cited work.

Solving the Gibbs Paradox by Local Free Space and Collision Potential Unresolved cited work

Reference 17

Resolution: unresolved; raw_fallback, observed 2026-08-14T04:40:57.880807Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 9560af1b-ac59-4bf8-afa3-feddea9be94e · outbound

This paper cites Zheng, Thermodynamic solution of the Gibbs paradox, College Physics.

Solving the Gibbs Paradox by Local Free Space and Collision Potential Zheng, Thermodynamic solution of the Gibbs paradox, College Physics

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T04:40:57.864136Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 7ee0fd0b-f692-488f-bc84-aded17aea0c1 · outbound

This paper cites an unresolved cited work.

Solving the Gibbs Paradox by Local Free Space and Collision Potential Unresolved cited work

Reference 19

Resolution: unresolved; raw_fallback, observed 2026-08-14T04:40:57.846893Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 70a3b536-074e-4fae-9040-c268aaf5d3e7 · outbound

This paper cites Gibbs Paradox and the Concepts of Information, Symmetry, Similarity and Their Relationship.

Solving the Gibbs Paradox by Local Free Space and Collision Potential Gibbs Paradox and the Concepts of Information, Symmetry, Similarity and Their Relationship

Reference 20

Resolution: verified exact; local_arxiv, observed 2026-08-14T04:40:57.698176Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 8c989282-fa90-4b10-b800-748b1aa715c0 · outbound

This paper cites Dieks, The Gibbs Paradox Revisited.

Solving the Gibbs Paradox by Local Free Space and Collision Potential Dieks, The Gibbs Paradox Revisited

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T04:40:57.824137Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 825c8838-975f-4785-bd57-d935db7bc993 · outbound

This paper cites an unresolved cited work.

Solving the Gibbs Paradox by Local Free Space and Collision Potential Unresolved cited work

Reference 22

Resolution: unresolved; raw_fallback, observed 2026-08-14T04:40:57.806442Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation ee69a178-34e3-4f28-b350-2e2f9ec80674 · outbound

This paper cites Dieks, The Gibbs Paradox and Particle Individuality, Entropy.

Solving the Gibbs Paradox by Local Free Space and Collision Potential Dieks, The Gibbs Paradox and Particle Individuality, Entropy

Reference 23

Resolution: verified exact; doi, observed 2026-08-14T04:40:57.474593Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 7b21ee3c-750f-4b6d-85c7-341934fcb253 · outbound

This paper cites an unresolved cited work.

Solving the Gibbs Paradox by Local Free Space and Collision Potential Unresolved cited work

Reference 24

Resolution: unresolved; raw_fallback, observed 2026-08-14T04:40:57.787924Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation b5babb23-c54b-4995-a3e8-5f3cc22be96a · outbound

This paper cites Maximum Entropy Principle, Equal Probability a Priori and Gibbs Paradox.

Solving the Gibbs Paradox by Local Free Space and Collision Potential Maximum Entropy Principle, Equal Probability a Priori and Gibbs Paradox

Reference 25

Resolution: verified exact; local_arxiv, observed 2026-08-14T04:40:57.674545Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 5ea86b92-dc71-4faa-9267-67459bbc718d · outbound

This paper cites Study of the possibility of eliminating the Gibbs paradox within the framework of classical thermodynamics.

Solving the Gibbs Paradox by Local Free Space and Collision Potential Study of the possibility of eliminating the Gibbs paradox within the framework of classical thermodynamics

Reference 26

Resolution: verified exact; local_arxiv, observed 2026-08-14T04:40:57.650871Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation a3286804-eea2-4ac0-9c83-2920c6b90b50 · outbound

This paper cites Saunders, The Gibbs Paradox, Entropy 2018, 20(8), 552.

Solving the Gibbs Paradox by Local Free Space and Collision Potential Saunders, The Gibbs Paradox, Entropy 2018, 20(8), 552

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T04:40:57.768694Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 29c29915-c93f-4f49-8db1-e55e81a4c78a · outbound

This paper cites an unresolved cited work.

Solving the Gibbs Paradox by Local Free Space and Collision Potential Unresolved cited work

Reference 28

Resolution: verified exact; doi, observed 2026-08-14T04:40:57.458702Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 4ebed21f-d1f5-4490-9aed-4475e80df9c5 · outbound

This paper cites The Gibbs Paradox and the Physical Criteria for the Indistinguishability of Identical Particles.

Solving the Gibbs Paradox by Local Free Space and Collision Potential The Gibbs Paradox and the Physical Criteria for the Indistinguishability of Identical Particles

Reference 29

Resolution: verified exact; local_arxiv, observed 2026-08-14T04:40:57.626410Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation f63373ff-a9ea-4c2f-9a2e-61cb3827145e · outbound

This paper cites Redefining the Phase Space for Ideal Gas Systems Resolves the Gibbs Paradox.

Solving the Gibbs Paradox by Local Free Space and Collision Potential Redefining the Phase Space for Ideal Gas Systems Resolves the Gibbs Paradox

Reference 30

Resolution: verified exact; local_arxiv, observed 2026-08-14T04:40:57.600564Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 880a3890-bc1d-49d2-8eba-6941caf3f8e9 · outbound

This paper cites The Gibbs paradox.

Solving the Gibbs Paradox by Local Free Space and Collision Potential The Gibbs paradox

Reference 31

Resolution: verified exact; local_arxiv, observed 2026-08-14T04:40:57.577285Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 21519191-14d1-48d7-ab3c-04bddbbc30eb · outbound

This paper cites The “Real” Gibbs Paradox and a Composition-Based Resolution.

Solving the Gibbs Paradox by Local Free Space and Collision Potential The “Real” Gibbs Paradox and a Composition-Based Resolution

Reference 32

Resolution: verified exact; doi, observed 2026-08-14T04:40:57.442049Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation c685f2a8-2d45-4822-9f88-3711bff296cd · outbound

This paper cites Tao, Gibbs paradox and thermodynamics of colloids, Physics Letters A, 547, 130531 (2025).

Solving the Gibbs Paradox by Local Free Space and Collision Potential Tao, Gibbs paradox and thermodynamics of colloids, Physics Letters A, 547, 130531 (2025)

Reference 33

Resolution: unresolved; no resolver link, observed 2026-08-14T04:40:57.282979Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 01359fde-960f-4ff8-bd00-8439ce360d3d · outbound

This paper cites an unresolved cited work.

Solving the Gibbs Paradox by Local Free Space and Collision Potential Unresolved cited work

Reference 34

Resolution: unresolved; raw_fallback, observed 2026-08-14T04:40:57.751190Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 3a852f51-4cd7-4002-85f2-dfb734b816e2 · outbound

This paper cites Einstein, Quantentheorie des einatomigen idealen Gases.

Solving the Gibbs Paradox by Local Free Space and Collision Potential Einstein, Quantentheorie des einatomigen idealen Gases

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T04:40:57.735174Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation bf3bb4dd-e4fb-4a74-ba6b-5373d0113b94 · outbound

This paper cites John von Neu- mann, translated from the German by Robert T.

Solving the Gibbs Paradox by Local Free Space and Collision Potential John von Neu- mann, translated from the German by Robert T

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T04:40:57.716652Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation f0650acb-bdc4-4288-ad29-43fed7f21dc6 · outbound

This paper cites Bazarov, Einstein’s paradox and a new mixing paradox.

Solving the Gibbs Paradox by Local Free Space and Collision Potential Bazarov, Einstein’s paradox and a new mixing paradox

Reference 37

Resolution: verified exact; doi, observed 2026-08-14T04:40:57.423320Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 2e63ec73-826c-4902-b7ee-3af5ce8864c5 · outbound

This paper cites an unresolved cited work.

Solving the Gibbs Paradox by Local Free Space and Collision Potential Unresolved cited work

Reference 38

Resolution: unresolved; no resolver link, observed 2026-08-14T04:40:57.307256Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0dc25fbe-8ea2-4c03-a960-2ace1aaef473 · outbound

This paper cites an unresolved cited work.

Solving the Gibbs Paradox by Local Free Space and Collision Potential Unresolved cited work

Reference 39

Resolution: verified exact; doi, observed 2026-08-14T04:40:57.388019Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 64bb3851-a599-4cd0-9420-7ce0da381c48 · outbound

This paper cites Yadin, B.

Solving the Gibbs Paradox by Local Free Space and Collision Potential Yadin, B

Reference 40

Resolution: verified exact; doi, observed 2026-08-14T04:40:57.368840Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Pith citing papers

No inbound Pith citation observations are available.