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Paper Citation Record · LEDGER

On a free boundary problem of the Boltzmann equation

As of 13 August 2026, this Paper Citation Record lists 43 of 43 outbound references and 0 inbound Pith citation observations for arXiv:2607.24053.

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

pith.paper-citation-record.v1
2607.24053 v1

Coverage vector

measured 43 of 43 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-07-31T23:17:05.685962Z

measured 43 of 43 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

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measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

43 of 43 outbound references displayed

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External citation measurements

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Outbound references

Observation 68ced187-1d70-40f4-b970-90b3fff20a28 · outbound

This paper cites an unresolved cited work.

On a free boundary problem of the Boltzmann equation Unresolved cited work

Reference 1

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source=pdf_text observed=2026-07-31T23:17:01.260301Z digest=sha256:b19528ff00b8d24cd4dec156d6de6d3352e94d7c7f4cf5da99ae4c82b681107f

Observation 3924735d-54ac-44d1-9f67-e1a8d14c9c1c · outbound

This paper cites Aoki and F.

On a free boundary problem of the Boltzmann equation Aoki and F

Reference 2

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source=pdf_text observed=2026-07-31T23:17:01.395898Z digest=sha256:befa8064701350e8c4aa1a56131914a6a3d90712cdc1e284ddd7317e31d72299

Observation db96d68c-3582-4bb8-8180-cac8b2550a80 · outbound

This paper cites an unresolved cited work.

On a free boundary problem of the Boltzmann equation Unresolved cited work

Reference 3

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source=pdf_text observed=2026-07-31T23:17:01.502173Z digest=sha256:ae19603f9e878b7b40b7f5d0c24a52ec12d12cd40f4fc965dac401d943583008

Observation 4ac384dc-39a9-4b1a-9e0a-0b1655a252f4 · outbound

This paper cites Beale, Large-time regularity of viscous surface waves.Arch.

On a free boundary problem of the Boltzmann equation Beale, Large-time regularity of viscous surface waves.Arch

Reference 4

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source=pdf_text observed=2026-07-31T23:17:01.650834Z digest=sha256:1092a41a93cf98b1c47c515a60412f81cbe8b5b9eedc16383590272844bda60d

Observation 5b48c567-66ff-4a20-a545-efb4ec42087f · outbound

This paper cites Bodn´ ar, G.

On a free boundary problem of the Boltzmann equation Bodn´ ar, G

Reference 5

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source=pdf_text observed=2026-07-31T23:17:01.826548Z digest=sha256:f3bc6470cbb614ee9a751d7acefd5cd2861686b416efe2b63044245d5d7de427

Observation 879869af-1afe-41fc-8cf6-6e2cb3a015c3 · outbound

This paper cites Butt` a, G.

On a free boundary problem of the Boltzmann equation Butt` a, G

Reference 6

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source=pdf_text observed=2026-07-31T23:17:01.960399Z digest=sha256:a37bb861ca9128e0f9663d4a2c7d42882573e842dbb0250dda4853a56b4fbb4e

Observation 27815fc8-7fed-4c6d-9ada-f695abd6d209 · outbound

This paper cites ˇCani´ c, Moving boundary problems.Bull.

On a free boundary problem of the Boltzmann equation ˇCani´ c, Moving boundary problems.Bull

Reference 7

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source=pdf_text observed=2026-07-31T23:17:02.052375Z digest=sha256:47408744a55beae44fbbb04cfaa26909a7b3a6938c5913d11375f7aa6b562a61

Observation 71c44393-5707-41f0-92f6-52e6f0e8fe04 · outbound

This paper cites an unresolved cited work.

On a free boundary problem of the Boltzmann equation Unresolved cited work

Reference 8

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source=pdf_text observed=2026-07-31T23:17:02.129325Z digest=sha256:87b61c9e261bab58fd1eea17cab7d800df3a5ccea4eabce80e9ff97d93a22cd8

Observation 6fa679ad-50b9-48c9-93b9-878206080b1a · outbound

This paper cites Caprino, G.

On a free boundary problem of the Boltzmann equation Caprino, G

Reference 9

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source=pdf_text observed=2026-07-31T23:17:02.231712Z digest=sha256:c27490cae1e2321337df303345ebe1b7a252086aaa148684f558a19a469186ff

Observation a019f08a-6d0e-4b4b-af58-30f55f75ce64 · outbound

This paper cites Caprino, C.

On a free boundary problem of the Boltzmann equation Caprino, C

Reference 10

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source=pdf_text observed=2026-07-31T23:17:02.398651Z digest=sha256:c30e5bc8d278591066e288655fd7ccd76a98f910d002a2ab40df9adce283e7ae

Observation 6729b4dd-eee1-4a93-85c9-fe8b366d7ee0 · outbound

This paper cites Cavallaro, On the motion of a convex body interacting with a perfect gas in the mean-field approximation.Rend.

On a free boundary problem of the Boltzmann equation Cavallaro, On the motion of a convex body interacting with a perfect gas in the mean-field approximation.Rend

Reference 11

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source=pdf_text observed=2026-07-31T23:17:02.596364Z digest=sha256:5ec744645527cb5dc530df2ce581166213a5a4d4dcebbcff99a01cc397a5e8e7

Observation 240fa371-bed6-471b-a4bb-865070ca46de · outbound

This paper cites Cavallaro and C.

On a free boundary problem of the Boltzmann equation Cavallaro and C

Reference 12

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source=pdf_text observed=2026-07-31T23:17:02.765347Z digest=sha256:9ddecd0a6cd8ad151a11518e287b981e26d75a329f69e420ac11355a5569c132

Observation b21b6a2f-27d3-4153-b84b-f28cc1b7f7c1 · outbound

This paper cites Cercignani,The Boltzmann Equation and Its Applications.

On a free boundary problem of the Boltzmann equation Cercignani,The Boltzmann Equation and Its Applications

Reference 13

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source=pdf_text observed=2026-07-31T23:17:02.934217Z digest=sha256:377e1cc0e9c4daccc54c0eb67954f0bb43722c34178c9ca1f093a8ed06ca4340

Observation 4c38da78-d97b-4623-ad9c-e81b803538ad · outbound

This paper cites Chen and C.

On a free boundary problem of the Boltzmann equation Chen and C

Reference 14

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source=pdf_text observed=2026-07-31T23:17:03.080257Z digest=sha256:d610d198e838df777e38149b4324be15cb5f636031a4b8069813826f34672d0c

Observation 28c17d8a-5fda-41ae-b7af-214c2b38a11f · outbound

This paper cites Chen and W.

On a free boundary problem of the Boltzmann equation Chen and W

Reference 15

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source=pdf_text observed=2026-07-31T23:17:03.227443Z digest=sha256:b73ebfad48f49b1e0dc120b3e9c6b65ce20b95b5e7b71a01544029b9383d8d98

Observation 27fad3ee-cb7b-4426-8bff-96a4c3e03ff9 · outbound

This paper cites Chen and W.

On a free boundary problem of the Boltzmann equation Chen and W

Reference 16

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source=pdf_text observed=2026-07-31T23:17:03.323210Z digest=sha256:d7e946b035d95206aaba468edf073cc8cc1b4023584576a21e0627b5fcff0c17

Observation 10959192-bea9-4a1a-9a68-3c781378b19c · outbound

This paper cites Chen and W.

On a free boundary problem of the Boltzmann equation Chen and W

Reference 17

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source=pdf_text observed=2026-07-31T23:17:03.414987Z digest=sha256:413cf011bdb7e2bf52715fd56b5bc26fb1787a03c98483ae1fd54d44993ea645

Observation 04172677-4581-4335-97c7-a0e743ae61c6 · outbound

This paper cites Coutand and S.

On a free boundary problem of the Boltzmann equation Coutand and S

Reference 18

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source=pdf_text observed=2026-07-31T23:17:03.525600Z digest=sha256:5f6f9fee879b868aba42af51721c48c03b336c0384bb7ac4674edf19cbd44c0e

Observation f254d44a-7a00-4bd4-885b-77d93787a40b · outbound

This paper cites Coutand and S.

On a free boundary problem of the Boltzmann equation Coutand and S

Reference 19

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source=pdf_text observed=2026-07-31T23:17:03.614051Z digest=sha256:6ffdb4993b632997bdf98cb7c8cbb86c4ea311a8cd61cec91505f478bf57da5a

Observation 3ccd776d-9b5c-44fb-8bf2-e827d2b77d4a · outbound

This paper cites Dechrist´ e and L.

On a free boundary problem of the Boltzmann equation Dechrist´ e and L

Reference 20

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source=pdf_text observed=2026-07-31T23:17:03.715406Z digest=sha256:60b4a1de99873a0e85ff145ca30d40a97a2934362a205847ae97a79d28e20379

Observation 833ac85a-5b9c-4c1b-bb82-654770be3b6b · outbound

This paper cites Esposito, Y.

On a free boundary problem of the Boltzmann equation Esposito, Y

Reference 21

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source=pdf_text observed=2026-07-31T23:17:03.811591Z digest=sha256:06f47296c31dbe1dbdb7bcda11e1e95c5614fc40ac3106d5b900f77d476e53ae

Observation 209728d5-a1d2-4c77-8707-ea97b30220e0 · outbound

This paper cites Gruber and J.

On a free boundary problem of the Boltzmann equation Gruber and J

Reference 22

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source=pdf_text observed=2026-07-31T23:17:03.938750Z digest=sha256:d8cb64e1a1956e884f2b438cb830980c037c71fa96f0235d60d335b43e981635

Observation a33b3b1e-dc72-48e0-8182-6dd03b06f858 · outbound

This paper cites Guo, Boltzmann diffusive limit beyond the Navier-Stokes approximation.Comm.

On a free boundary problem of the Boltzmann equation Guo, Boltzmann diffusive limit beyond the Navier-Stokes approximation.Comm

Reference 23

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source=pdf_text observed=2026-07-31T23:17:03.975038Z digest=sha256:73d48f6db7b65850bfbd568d8fb8fa044e1b918feaea1e563775b6b23938d531

Observation 54904b03-7a7e-464b-9115-b225e2b5d5ab · outbound

This paper cites Guo, Decay and continuity of Boltzmann equation in bounded domains.Arch.

On a free boundary problem of the Boltzmann equation Guo, Decay and continuity of Boltzmann equation in bounded domains.Arch

Reference 24

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source=pdf_text observed=2026-07-31T23:17:04.042862Z digest=sha256:d8f85ce01bf4001574e530cffcf663b64f2f16b161d5e537d0b4f8c11a97bf6f

Observation e9091a87-24ff-439e-bd0e-f5a974dc3913 · outbound

This paper cites an unresolved cited work.

On a free boundary problem of the Boltzmann equation Unresolved cited work

Reference 25

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source=pdf_text observed=2026-07-31T23:17:04.099743Z digest=sha256:4c706da32edbc3249b6d32cfdc41bd16f4fee517a4eb081d2476d5503faf0984

Observation bfb2ca45-3cd1-4e1f-a4a6-1c629bc01815 · outbound

This paper cites Kaltenbacher, I.

On a free boundary problem of the Boltzmann equation Kaltenbacher, I

Reference 26

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source=pdf_text observed=2026-07-31T23:17:04.172210Z digest=sha256:a553245c8fb86e4a55361ba33f18636db770017e43eca2e236909bf3241ddf44

Observation 48e78ef4-d8da-434a-9bef-e3198b7a3d75 · outbound

This paper cites Koike, Wall effect on the motion of a rigid body immersed in a free molecular flow.Kinet.

On a free boundary problem of the Boltzmann equation Koike, Wall effect on the motion of a rigid body immersed in a free molecular flow.Kinet

Reference 27

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source=pdf_text observed=2026-07-31T23:17:04.251467Z digest=sha256:0fb9bd3f4e24cf8cb0865e53727aa1a360b63ccff141d96a910a792c97622467

Observation c4631a50-1616-478a-b44e-a6d41c31a745 · outbound

This paper cites Koike, Motion of a rigid body in a special Lorentz gas: loss of memory effect.J.

On a free boundary problem of the Boltzmann equation Koike, Motion of a rigid body in a special Lorentz gas: loss of memory effect.J

Reference 28

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source=pdf_text observed=2026-07-31T23:17:04.318472Z digest=sha256:20c29aba4fc7c06c9fd4061f154f712125ea2a10be79cf3c96f09289ac0316c6

Observation adc05327-a0d3-4580-aaac-e1804478bad9 · outbound

This paper cites Koike, Long-time behavior of a point mass in a one-dimensional viscous compressible fluid and pointwise estimates of solutions.J.

On a free boundary problem of the Boltzmann equation Koike, Long-time behavior of a point mass in a one-dimensional viscous compressible fluid and pointwise estimates of solutions.J

Reference 29

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source=pdf_text observed=2026-07-31T23:17:04.407033Z digest=sha256:0e21474e9191e0aa8dff3a3e1b2eb275b42923e205811be9607f3c9d4d86ec1d

Observation 01c539ea-9e5f-4e20-af06-056fbe0a3197 · outbound

This paper cites Koike, Time-asymptotic expansion with pointwise remainder estimates for 1D viscous compressible flow.Arch.

On a free boundary problem of the Boltzmann equation Koike, Time-asymptotic expansion with pointwise remainder estimates for 1D viscous compressible flow.Arch

Reference 30

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source=pdf_text observed=2026-07-31T23:17:04.498988Z digest=sha256:ae89e008093fa0a27fba4971840cb7da56f89a9fb8914a13d96a11d4183d5802

Observation d5250306-00bb-4ff9-8725-4dc712ebba72 · outbound

This paper cites Khalil, Mesoscopic description of the adiabatic piston: kinetic equations and H-theorem.J.

On a free boundary problem of the Boltzmann equation Khalil, Mesoscopic description of the adiabatic piston: kinetic equations and H-theorem.J

Reference 31

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source=pdf_text observed=2026-07-31T23:17:04.596066Z digest=sha256:9822bebcaa84f6da1b28e217964bd7b474cf02ec3ab13831e2d40917b0ecddd8

Observation be09dd0b-0515-4b5f-8521-4415b6fc68b9 · outbound

This paper cites Li and Y.

On a free boundary problem of the Boltzmann equation Li and Y

Reference 32

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source=pdf_text observed=2026-07-31T23:17:04.681071Z digest=sha256:b5ce26314c2801cfd4b62dcf8f7f7effff0e78b4c7c8aa7fc0e0ec2c2d7b79c2

Observation 44d0faa8-8bd9-4c70-99c1-363e3a41e6e4 · outbound

This paper cites Sisti and C.

On a free boundary problem of the Boltzmann equation Sisti and C

Reference 33

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source=pdf_text observed=2026-07-31T23:17:04.780606Z digest=sha256:ce1c88d4255ffb7b659b9b8f84078e2b63f2fbdcee53db2ef1ed32baa4aa1c70

Observation 77d52705-9468-43c5-9b86-50fc966ac3e2 · outbound

This paper cites Sone,Molecular Gas Dynamics: Theory, Techniques, and Applications.

On a free boundary problem of the Boltzmann equation Sone,Molecular Gas Dynamics: Theory, Techniques, and Applications

Reference 34

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source=pdf_text observed=2026-07-31T23:17:04.850648Z digest=sha256:9d434de79146dbf1faa8f5649121dbe0ad2e6442a0aeadd10534ddacc1055125

Observation 05b8b9cd-06a8-42d8-a1bd-f0106287598d · outbound

This paper cites Tani, Small-time existence for the three-dimensional Navier-Stokes equations for an incompressible fluid with a free surface.Arch.

On a free boundary problem of the Boltzmann equation Tani, Small-time existence for the three-dimensional Navier-Stokes equations for an incompressible fluid with a free surface.Arch

Reference 35

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source=pdf_text observed=2026-07-31T23:17:04.920565Z digest=sha256:163ab0bb3f7bdc56d5085983d9819c2c427d1f015bdae8d3c58a5718e9bdbc73

Observation 4b985f5f-f096-400e-838d-372d41f426bd · outbound

This paper cites Tsuji and K.

On a free boundary problem of the Boltzmann equation Tsuji and K

Reference 36

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source=pdf_text observed=2026-07-31T23:17:04.991337Z digest=sha256:392349fdc40a64b3dc6cf1c6eb011e6c4f2ce0c7feb38e2697b8ef87e3eef6e1

Observation 3475645d-d739-40f5-a99f-0807763e4dca · outbound

This paper cites Tsuji and K.

On a free boundary problem of the Boltzmann equation Tsuji and K

Reference 37

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source=pdf_text observed=2026-07-31T23:17:05.077489Z digest=sha256:4789b97ad8822e9383af7fdcd3ca4c19b0ba5a5b143a8f40e9351b86f9cb69ef

Observation 7d2f0375-90e3-4c61-90f7-1804995a5bc4 · outbound

This paper cites Tsuji and K.

On a free boundary problem of the Boltzmann equation Tsuji and K

Reference 38

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source=pdf_text observed=2026-07-31T23:17:05.174484Z digest=sha256:f940458e7b1b585ad354cae4a4348141cad029ed3d558f21352885e393bb0e13

Observation fba5d416-e86b-4d27-ae4a-285e5cb05c94 · outbound

This paper cites Tsuji, J.

On a free boundary problem of the Boltzmann equation Tsuji, J

Reference 39

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source=pdf_text observed=2026-07-31T23:17:05.268282Z digest=sha256:33fcfbe1884574bc0161b96290d2ef0361f5e6cb1ffa2b1dd0a28d2d6137f083

Observation bd8d8a84-f89b-4bee-8d5a-3b37f8a1120d · outbound

This paper cites Tsuji, S.

On a free boundary problem of the Boltzmann equation Tsuji, S

Reference 40

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source=pdf_text observed=2026-07-31T23:17:05.368074Z digest=sha256:31e8fe1c3d33f3bd51bd5f424aa270aeedb8a43c13bf5396c790209b54be9b0c

Observation ba6220c1-a6d1-410d-92e4-3a3d452d33d6 · outbound

This paper cites an unresolved cited work.

On a free boundary problem of the Boltzmann equation Unresolved cited work

Reference 41

Resolution
unresolved
no resolver link, observed 2026-07-31T23:17:05.468168Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-31T23:17:05.468168Z digest=sha256:a7d6bd49a7cff1a664cfe6d5f6c2c391c93d2355d008be16940d414fd9edeb0a

Observation 70d1035b-3d98-4349-b6ed-15bef43a22b1 · outbound

This paper cites Ukai and T.

On a free boundary problem of the Boltzmann equation Ukai and T

Reference 42

Resolution
unresolved
no resolver link, observed 2026-07-31T23:17:05.563484Z

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source=pdf_text observed=2026-07-31T23:17:05.563484Z digest=sha256:f2bbf84f1765232fbe8369d23a1b428b198bceee6c9cdec966b8c421fa54ebed

Observation 1a83a495-5ae0-4d20-8749-e053f2f1aa40 · outbound

This paper cites an unresolved cited work.

On a free boundary problem of the Boltzmann equation Unresolved cited work

Reference 43

Resolution
unresolved
no resolver link, observed 2026-07-31T23:17:05.685962Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-31T23:17:05.685962Z digest=sha256:fec61faf95ee4b0eb4a92671d8974782e0a23f70ff89a7ab07ca3058d317db3a

Pith citing papers

No inbound Pith citation observations are available.