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Paper Citation Record · LEDGER

Mass-conserving weak solutions to the continuous nonlinear fragmentation equation in the presence of mass transfer

As of 20 August 2026, this Paper Citation Record lists 37 of 37 outbound references and 0 inbound Pith citation observations for arXiv:2411.15561.

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

pith.paper-citation-record.v1
2411.15561 v2

Coverage vector

measured 37 of 37 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-12T14:26:50.028658Z

measured 37 of 37 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-20T06:33:59.587034+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

37 of 37 outbound references displayed

  • verified exact1
  • verified fuzzy19
  • unresolved17
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation f823cc0a-7a71-46b8-a511-ae9389aac665 · outbound

This paper cites an unresolved cited work.

Mass-conserving weak solutions to the continuous nonlinear fragmentation equation in the presence of mass transfer Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-12T14:26:50.498918Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation 2a9c1768-06e8-4ba4-b445-ecdae32be1d2 · outbound

This paper cites Banasiak.

Mass-conserving weak solutions to the continuous nonlinear fragmentation equation in the presence of mass transfer Banasiak

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:26:50.487510Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-12T14:26:49.869317Z digest=sha256:85416470f4713b2c6e3bd3628a80a828230ca8f9ec1c0c6470bb42971d4d9c37

Observation 39655706-370d-4069-8700-09f5050f78e0 · outbound

This paper cites Banasiak.

Mass-conserving weak solutions to the continuous nonlinear fragmentation equation in the presence of mass transfer Banasiak

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:26:50.475679Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation 21e98b9e-4b20-404b-8886-4a1ea07e85c6 · outbound

This paper cites Banasiak.

Mass-conserving weak solutions to the continuous nonlinear fragmentation equation in the presence of mass transfer Banasiak

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:26:50.463198Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-12T14:26:49.878625Z digest=sha256:f0619f95ebc882e03ed410d56b78a8b21d5657c143543b1a3d92e0a9a9b99963

Observation 7b74cea8-880e-4a5d-b48a-bff60cf9298e · outbound

This paper cites Banasiak, W.

Mass-conserving weak solutions to the continuous nonlinear fragmentation equation in the presence of mass transfer Banasiak, W

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:26:50.451863Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation 35ef8e2b-45a2-4c05-bfef-03ade9a75434 · outbound

This paper cites an unresolved cited work.

Mass-conserving weak solutions to the continuous nonlinear fragmentation equation in the presence of mass transfer Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-12T14:26:50.440242Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation c1a0010f-f936-4d29-b929-71e619e3bc79 · outbound

This paper cites an unresolved cited work.

Mass-conserving weak solutions to the continuous nonlinear fragmentation equation in the presence of mass transfer Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-08-12T14:26:50.428293Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-12T14:26:49.892725Z digest=sha256:b6200686dc160db8fbec5279e149522836a7a9583b197f44a90e02ce2888f9d8

Observation d38b95d3-6ceb-49af-8e30-0aa6c9954725 · outbound

This paper cites an unresolved cited work.

Mass-conserving weak solutions to the continuous nonlinear fragmentation equation in the presence of mass transfer Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-12T14:26:50.415999Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-12T14:26:49.897500Z digest=sha256:dda448daa57a9c8c79f7c47e200277e8933774ca57f685bdb5deafe7dbfc8fe0

Observation 238c7b1f-8e17-4077-b920-2852fbb8c586 · outbound

This paper cites Biedrzycka and M.

Mass-conserving weak solutions to the continuous nonlinear fragmentation equation in the presence of mass transfer Biedrzycka and M

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:26:50.404022Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-12T14:26:49.901632Z digest=sha256:2e4a06174c0e9a7260e94c547880ccfc623e0dc77babf161ff39feb8eb448061

Observation 26fad538-e412-43b3-8be6-c66ee55a7431 · outbound

This paper cites Cheng and S.

Mass-conserving weak solutions to the continuous nonlinear fragmentation equation in the presence of mass transfer Cheng and S

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:26:50.392235Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-12T14:26:49.906337Z digest=sha256:f79eb28d259b2b891afa3073ae4b321f2380a59c3a6db83827bd7c3d18613571

Observation 12bfdda6-606c-4ac9-bda4-5240a20be47d · outbound

This paper cites Cheng and S.

Mass-conserving weak solutions to the continuous nonlinear fragmentation equation in the presence of mass transfer Cheng and S

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:26:50.380356Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-12T14:26:49.910624Z digest=sha256:0a43b2b2014e29b56709621e789da3a39dd5fd6335e9c5d3034c00c3a0fa54ca

Observation 3b829aa6-4c22-47bf-85c2-12bcf8cd3538 · outbound

This paper cites an unresolved cited work.

Mass-conserving weak solutions to the continuous nonlinear fragmentation equation in the presence of mass transfer Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-12T14:26:50.369111Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-12T14:26:49.914987Z digest=sha256:a9c255788f0889a5fd632bda46eec5df8024219c191c7705f251c39b86a5b407

Observation f833fe24-0b6c-4d76-bef4-75923d3666b1 · outbound

This paper cites Escobedo, S.

Mass-conserving weak solutions to the continuous nonlinear fragmentation equation in the presence of mass transfer Escobedo, S

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:26:50.357501Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-12T14:26:49.919323Z digest=sha256:dc5639315fd0b9a91c0f0f24354eaa98a97b5af769d891fd891cee50a3b1a88e

Observation 3d5b1c33-1dba-4088-92da-7b0413b31086 · outbound

This paper cites Feingold, S.

Mass-conserving weak solutions to the continuous nonlinear fragmentation equation in the presence of mass transfer Feingold, S

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:26:50.346201Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-12T14:26:49.924795Z digest=sha256:ac3004c80586b9e64cd327c542674aab7cc36ca0b0a20201745615c89e2553a6

Observation 0c5d6984-7f9e-4ca3-8b7d-ed3fc056b1ff · outbound

This paper cites Filippov.

Mass-conserving weak solutions to the continuous nonlinear fragmentation equation in the presence of mass transfer Filippov

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:26:50.335164Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-12T14:26:49.929742Z digest=sha256:b550e3af3dcb6fdf9088d4d4eed3e7e8145671c85497664ce9830f758e0ea91b

Observation 26b1cf7f-6aa6-418b-ac1f-41e44ced952e · outbound

This paper cites Fonseca and G.

Mass-conserving weak solutions to the continuous nonlinear fragmentation equation in the presence of mass transfer Fonseca and G

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:26:50.322623Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-12T14:26:49.935043Z digest=sha256:1d9dd597106a35e24f5a22c4edd9ac7bca92b1da0731864c88c163673f8562ca

Observation 7463c245-d2a6-41fc-b396-410fd5a18b41 · outbound

This paper cites an unresolved cited work.

Mass-conserving weak solutions to the continuous nonlinear fragmentation equation in the presence of mass transfer Unresolved cited work

Reference 17

Resolution
unresolved
raw_fallback, observed 2026-08-12T14:26:50.311398Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-12T14:26:49.940177Z digest=sha256:6512e91129cd4d2e5f150e0e5bdb613e2f024a7d9a3fb7d1d86c78ed98945bfe

Observation 82de8771-8381-49c1-8b75-8a02fb774dfb · outbound

This paper cites an unresolved cited work.

Mass-conserving weak solutions to the continuous nonlinear fragmentation equation in the presence of mass transfer Unresolved cited work

Reference 18

Resolution
unresolved
raw_fallback, observed 2026-08-12T14:26:50.299647Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation 6c61d768-990e-4c4e-a65f-b2074ba3aab8 · outbound

This paper cites an unresolved cited work.

Mass-conserving weak solutions to the continuous nonlinear fragmentation equation in the presence of mass transfer Unresolved cited work

Reference 19

Resolution
unresolved
raw_fallback, observed 2026-08-12T14:26:50.286833Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-12T14:26:49.948838Z digest=sha256:9bfcee652c3e69f34bafa5a1d685dd0a98511ffe7899e3f78a11a1e3390988c2

Observation 6008b6b5-2402-4671-8393-34652cfb8bc0 · outbound

This paper cites an unresolved cited work.

Mass-conserving weak solutions to the continuous nonlinear fragmentation equation in the presence of mass transfer Unresolved cited work

Reference 20

Resolution
unresolved
raw_fallback, observed 2026-08-12T14:26:50.275978Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation 78b26a9f-f74b-4bd0-ab20-01a7764572e2 · outbound

This paper cites Mass-Conserving Self-Similar Solutions to Collision-Induced Breakage Equations.

Mass-conserving weak solutions to the continuous nonlinear fragmentation equation in the presence of mass transfer Mass-Conserving Self-Similar Solutions to Collision-Induced Breakage Equations

Reference 21

Resolution
verified exact
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation 879f5271-a191-4064-991e-b49d8188eaa8 · outbound

This paper cites an unresolved cited work.

Mass-conserving weak solutions to the continuous nonlinear fragmentation equation in the presence of mass transfer Unresolved cited work

Reference 22

Resolution
unresolved
raw_fallback, observed 2026-08-12T14:26:50.264869Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation 8a510034-6f35-4101-a30a-b9aa53bb7b3a · outbound

This paper cites Kostoglou and A.

Mass-conserving weak solutions to the continuous nonlinear fragmentation equation in the presence of mass transfer Kostoglou and A

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:26:50.253272Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-12T14:26:49.966962Z digest=sha256:3da7dab5bbb2b0ebe5c55880f1a8ab5ab15f11d84fac158b86c616735c74039d

Observation 1e614107-1948-4d50-9bde-97a1ab115ca5 · outbound

This paper cites Kostoglou and A.

Mass-conserving weak solutions to the continuous nonlinear fragmentation equation in the presence of mass transfer Kostoglou and A

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:26:50.241865Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-12T14:26:49.971308Z digest=sha256:cbeff22714a9303c13934a00348f6731af4b48b2f5de7c049714b34e0e57a5d7

Observation 5a67ff42-30c8-442f-beac-52c7787307e2 · outbound

This paper cites Krapivsky and E.

Mass-conserving weak solutions to the continuous nonlinear fragmentation equation in the presence of mass transfer Krapivsky and E

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:26:50.229373Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-12T14:26:49.975741Z digest=sha256:1d9b54edbd058a861075568ba6f0629b15a18baf14f502a7739d2185063998b1

Observation a2415339-6639-4a40-baf1-3ad0a7407c59 · outbound

This paper cites Lauren¸ cot.

Mass-conserving weak solutions to the continuous nonlinear fragmentation equation in the presence of mass transfer Lauren¸ cot

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:26:50.215803Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-12T14:26:49.979938Z digest=sha256:75ae8476370c8d63eeb90b7f153490d74333781f25ca2acecf3b8f1aa7247c2d

Observation 417a5f1b-06ae-4d10-b2b9-259ec546d50f · outbound

This paper cites List and J.

Mass-conserving weak solutions to the continuous nonlinear fragmentation equation in the presence of mass transfer List and J

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:26:50.203933Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-12T14:26:49.985259Z digest=sha256:9f65606b100648ff120ddfb2b61222c3aa9377b207b8a8eb06264b8d59f0f258

Observation f6ba96e9-b2af-4f8d-a103-f91ac317b7c7 · outbound

This paper cites Lombart, C.-E.

Mass-conserving weak solutions to the continuous nonlinear fragmentation equation in the presence of mass transfer Lombart, C.-E

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:26:50.191976Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-12T14:26:49.989958Z digest=sha256:0d69bfcf8d300d4bd084a2580bfd8e0a83811a08fb31572415fec67f4a4864eb

Observation 48cf91ac-8cca-4c2d-886b-974550a67756 · outbound

This paper cites Shattering.

Mass-conserving weak solutions to the continuous nonlinear fragmentation equation in the presence of mass transfer Shattering

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:26:50.180320Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-12T14:26:49.994532Z digest=sha256:75f6b3200069fdfe14a2aaa84a510c1e2363a624f28c4d0e52f9d82c763a0a80

Observation 3000a4f9-2a3a-41a5-80af-41697488ecd5 · outbound

This paper cites an unresolved cited work.

Mass-conserving weak solutions to the continuous nonlinear fragmentation equation in the presence of mass transfer Unresolved cited work

Reference 30

Resolution
unresolved
raw_fallback, observed 2026-08-12T14:26:50.168552Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-12T14:26:49.998547Z digest=sha256:3f36c69c538f938d11904f12a5c24a14b38b54f990d10d6bc5106f1b1f735ca7

Observation 3a879b21-afcf-41b5-89fe-6fb5620b2a04 · outbound

This paper cites an unresolved cited work.

Mass-conserving weak solutions to the continuous nonlinear fragmentation equation in the presence of mass transfer Unresolved cited work

Reference 31

Resolution
unresolved
raw_fallback, observed 2026-08-12T14:26:50.156629Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-12T14:26:50.003132Z digest=sha256:e4b5489f61ddd31c53da1a12155f5ec2df1089fd4c5ca00c1fdcd90d30ddc373

Observation 16c6f763-a6f0-4767-9e06-a8d6b48a7d1f · outbound

This paper cites Van Dongen.

Mass-conserving weak solutions to the continuous nonlinear fragmentation equation in the presence of mass transfer Van Dongen

Reference 32

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:26:50.145384Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-12T14:26:50.007667Z digest=sha256:dab5987522dd9fb5aa4b3ff444c3f675d164d7fc10c2859dcccc2df77c18ec67

Observation 81c4d115-5b09-48d8-a16d-9e64f007ebff · outbound

This paper cites an unresolved cited work.

Mass-conserving weak solutions to the continuous nonlinear fragmentation equation in the presence of mass transfer Unresolved cited work

Reference 33

Resolution
unresolved
raw_fallback, observed 2026-08-12T14:26:50.132166Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-12T14:26:50.011802Z digest=sha256:214c773b0e670f4445bab3d466fc19dc9afbc15b11c1509d56ce653f8479139f

Observation 81bcc47a-0227-4e96-9f55-f180b92d9e4b · outbound

This paper cites an unresolved cited work.

Mass-conserving weak solutions to the continuous nonlinear fragmentation equation in the presence of mass transfer Unresolved cited work

Reference 34

Resolution
unresolved
raw_fallback, observed 2026-08-12T14:26:50.120304Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-12T14:26:50.015781Z digest=sha256:74fbf1684c944a600f9c139691b7a6bf13cae6d658da1859047ea045e29b44dd

Observation aea032a9-6ec1-477d-b7c0-8983ad3adfab · outbound

This paper cites an unresolved cited work.

Mass-conserving weak solutions to the continuous nonlinear fragmentation equation in the presence of mass transfer Unresolved cited work

Reference 35

Resolution
unresolved
raw_fallback, observed 2026-08-12T14:26:50.107352Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-12T14:26:50.019513Z digest=sha256:632731d75e99dfc9491932a9b55f984a3624c2608f8152154249259dc95a0b9d

Observation 57b3c1ee-d714-4240-8f33-d76a3d3b9f4f · outbound

This paper cites an unresolved cited work.

Mass-conserving weak solutions to the continuous nonlinear fragmentation equation in the presence of mass transfer Unresolved cited work

Reference 36

Resolution
unresolved
raw_fallback, observed 2026-08-12T14:26:50.093922Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-12T14:26:50.023304Z digest=sha256:48999531ca51db354195e202b080cb42ffaf6de37cb98c8c5a02f6f48e4202ab

Observation e31c9f77-0aa1-4b78-b02a-7549d610e26a · outbound

This paper cites an unresolved cited work.

Mass-conserving weak solutions to the continuous nonlinear fragmentation equation in the presence of mass transfer Unresolved cited work

Reference 37

Resolution
unresolved
raw_fallback, observed 2026-08-12T14:26:50.081238Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-12T14:26:50.028658Z digest=sha256:2a61d7a9aa3ef197322b261f426afe5f6ccd669be5508f41b4aedbc3d4fd4f99

Pith citing papers

No inbound Pith citation observations are available.