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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 23 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 2026-08-23T06:30:58.430688+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 2026-08-23T06:30:58.430688+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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-12T14:26:49.869317Z digest=sha256:d381fe2be5a7de6057db88719bc434bca78b9926ac98e62d2f4eb1f06e9526a2

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 2026-08-23T06:30:58.430688+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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-12T14:26:49.878625Z digest=sha256:084badd9c08b570f2e98764a02505e3963d67b526dfaf735ff16510ceca8f17a

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-12T14:26:49.883342Z digest=sha256:e8f16bcdb4473fe87909f24db751c831ee35c602f20452391a024f4d377b15de

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-12T14:26:49.887918Z digest=sha256:0fb604d32af6c88e94c0afd7ba5911fdb12eda40fed333cd797084476ec2d8c1

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-12T14:26:49.892725Z digest=sha256:5274f79de075339d167ab434b6f31e2c66e86764553f847b8ca257838e2cac67

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-12T14:26:49.897500Z digest=sha256:fb8cd7207ef59df0fe7ae0c3da863025fd8acbee6b7bc267ebeddbf9636a3166

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-12T14:26:49.901632Z digest=sha256:49e21d5a0173ead26c4ffc026d2e1d6326e5655cd448994a5489d7dfd232e640

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 2026-08-23T06:30:58.430688+00:00.

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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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-12T14:26:49.910624Z digest=sha256:c97e98c0e2b4eedbd674f364cde076bf1d8e5ff659eb87f613e27402c579919b

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-12T14:26:49.914987Z digest=sha256:0e96b8e71c9c55727cbb6bf139ec98a8151f9f06a3f9484c17fbcb50115683aa

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-12T14:26:49.919323Z digest=sha256:b0cb06ee510adcffa4eb4f9852e7ddddf44d198ce0e2c6aef11a9a0e28a829bc

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-12T14:26:49.924795Z digest=sha256:b59535680d4289de823f87e559f8eb46eeca695cb76cc78f486bf31305b5d714

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-12T14:26:49.929742Z digest=sha256:0c7d5077855d97e3d3c19834108b8f9d6b6883a9a4efd62ab96ac8674e2bb79f

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-12T14:26:49.935043Z digest=sha256:2c6e371586cbc4127ca049105f2c976eb71a6b18b58c7c56ec7311a4fcc11493

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-12T14:26:49.940177Z digest=sha256:d9fab0feef67b70e88d9ec1ee489c9a402198feb4d22bf166e9332ab32f6e7ae

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-12T14:26:49.944926Z digest=sha256:ddb551134c80c8350a6c61759fb39c9f37ac2701949abd3eed7cff867cb11e08

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-12T14:26:49.948838Z digest=sha256:da5f6ff7a28fa251ae1f189ba3306c7ae1e0fe9a26d9909dfba8a2f9eb43cffc

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-12T14:26:49.953550Z digest=sha256:e7d7929b36f64740d624d83deda5eb13e07698c0d958e28e33f85015e06618b0

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 2026-08-23T06:30:58.430688+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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-12T14:26:49.962844Z digest=sha256:bd5fc8267f10eda975cb21c72f0d718dd99fe62723d8cda1e6a205781b4603be

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-12T14:26:49.966962Z digest=sha256:508de9ade4a13173f103db29be7a2d4af77c53e420328e8b908dae0296d2a736

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-12T14:26:49.971308Z digest=sha256:c911d09fbc0d2e828bbd7ae44152c8bd18dcec29192ec5c8a002c989a67ae145

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-12T14:26:49.975741Z digest=sha256:053ad0ea294c2fd2621822b2beaf632ab128af47922d15c10771589e33c45e31

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-12T14:26:49.979938Z digest=sha256:34ad74056816a70caa4255e77a3e13ac91e7f365ff53cf64f679dc05e27b71ae

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-12T14:26:49.985259Z digest=sha256:25fd202a6996c75dd5841bc7e72cbc4bdca98d5e55485881b09d760187e7b86c

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-12T14:26:49.989958Z digest=sha256:3d2de1843decf42a823bb77b045459582524d7830adc84bacf58b8cb10c48974

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-12T14:26:49.994532Z digest=sha256:e17817b9cc15f8ced7ff718ae6bf74d9d94f6fcdbd6cbe4285a0c72d5d6b1187

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-12T14:26:49.998547Z digest=sha256:c6db16cefb1e1e6d6457d38a85ec023782bc9e9bd523d9c1243295cc955c31bb

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-12T14:26:50.003132Z digest=sha256:60142803153e8ab9c357d122e74c4c2db3fd3af1f81351d204f0df8fd50e7b92

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-12T14:26:50.007667Z digest=sha256:54fb1e55687b0b73d50c997f4b4ed1a93fef70cfbf4f61277a4267570730df64

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-12T14:26:50.011802Z digest=sha256:640745984f71c759302523a545974041f5363b98f009b6b0d618363b2e8ef123

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-12T14:26:50.015781Z digest=sha256:d120655f326dfb4f2560c202ea611055910aa7771cc8ab61f9b6eec7612a5690

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-12T14:26:50.019513Z digest=sha256:4262b7ce1c9e242a86ec1d21d2d19a8f191c213fbbc8d5f84235b4324c51c3d1

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-12T14:26:50.023304Z digest=sha256:f04f1f23a4109896b75cc390e3f4c69bcf7ff5ed37d2e70389d0332208a1ff2d

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-12T14:26:50.028658Z digest=sha256:eca77a24cab066ef14830755edeb3fd575672529e4f11d59d58701edf3cc8ccd

Pith citing papers

No inbound Pith citation observations are available.