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Paper Citation Record · LEDGER

On a Class of Continuous Collision-Induced Breakage Equation

As of 6 August 2026, this Paper Citation Record lists 24 of 24 outbound references and 0 inbound Pith citation observations for arXiv:2605.29619.

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

pith.paper-citation-record.v1
2605.29619 v1

Coverage vector

measured 24 of 24 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-06-29T06:42:29.787413Z

measured 24 of 24 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-06T06:34:29.942622+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

24 of 24 outbound references displayed

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  • verified fuzzy0
  • unresolved23
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 091ce4f7-2801-490c-85be-61afda8bf7f4 · outbound

This paper cites an unresolved cited work.

On a Class of Continuous Collision-Induced Breakage Equation Unresolved cited work

Reference 1

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-29T06:42:29.787413Z digest=sha256:37ee76a7369b059b590a3380e98ff0f50b57d9da235e0ea8256095defcddd085

Observation 692d9ff8-8b0b-4332-adb1-b702fff8d828 · outbound

This paper cites K., Existence of mass-conserving weak solutions to the singular coagulation equation with multiple fragmentation,Evolution Equations and Control Theory,9(2), 431–446, 2020.

On a Class of Continuous Collision-Induced Breakage Equation K., Existence of mass-conserving weak solutions to the singular coagulation equation with multiple fragmentation,Evolution Equations and Control Theory,9(2), 431–446, 2020

Reference 2

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source=pdf_text observed=2026-06-29T06:42:29.787413Z digest=sha256:cda2f065cc1b4cb66a602694d08a653e405415637fe7414683a1bcb4024dd444

Observation 6b493240-044e-4f9d-9435-0920ffd569fc · outbound

This paper cites K., Giri, A.

On a Class of Continuous Collision-Induced Breakage Equation K., Giri, A

Reference 3

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source=pdf_text observed=2026-06-29T06:42:29.787413Z digest=sha256:58f6222d4fae934541178e38e4c5ece55aeaad2b405705e1bb2041bcd2c9dbfb

Observation 26c66a46-5f90-4474-9d7f-ed8cdcdfa1c9 · outbound

This paper cites K., Giri, A.

On a Class of Continuous Collision-Induced Breakage Equation K., Giri, A

Reference 4

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source=pdf_text observed=2026-06-29T06:42:29.787413Z digest=sha256:6c0b69a52d6bf721ec08c227f7ebf7488794fc1113f0eb8b77aeb182ef9472a7

Observation a968b514-6e55-4712-bc7d-82001d6b223a · outbound

This paper cites an unresolved cited work.

On a Class of Continuous Collision-Induced Breakage Equation Unresolved cited work

Reference 5

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unresolved
no resolver link, observed 2026-06-29T06:42:29.787413Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-29T06:42:29.787413Z digest=sha256:f95b3174f2a9d63e8b0e58f4b326564c24a5482641e5c6f95584f208df1e2861

Observation b20864e0-7062-4801-a721-97ed902e9170 · outbound

This paper cites L., Bodrova, A., Spahn, F., Hayakawa, H., Stadnichuk, V., Schmidt, J., Size distribution of particles in Saturn’s rings from aggregation and fragmentation,Proc.

On a Class of Continuous Collision-Induced Breakage Equation L., Bodrova, A., Spahn, F., Hayakawa, H., Stadnichuk, V., Schmidt, J., Size distribution of particles in Saturn’s rings from aggregation and fragmentation,Proc

Reference 6

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-29T06:42:29.787413Z digest=sha256:3a2e6df6432ca90d43eea0f23f168ba0cf480a36ffbd3e27cf4b408a4f209633

Observation f1bf0a18-b947-4f0e-8a14-1add57b5e15b · outbound

This paper cites an unresolved cited work.

On a Class of Continuous Collision-Induced Breakage Equation Unresolved cited work

Reference 7

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unresolved
no resolver link, observed 2026-06-29T06:42:29.787413Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-29T06:42:29.787413Z digest=sha256:cbeb95d1d2d08309c528b5e646ec2adf882bf106907f566c4adbd2e4a7169d73

Observation 4b030a70-cc13-4484-a991-414a8a06ade3 · outbound

This paper cites an unresolved cited work.

On a Class of Continuous Collision-Induced Breakage Equation Unresolved cited work

Reference 8

Resolution
unresolved
no resolver link, observed 2026-06-29T06:42:29.787413Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-29T06:42:29.787413Z digest=sha256:cd3e32a93b9b5c4117d0dedb2849c5000d3d61b58d580c263d2c0ce6f296ff1c

Observation 6889451c-b318-4a15-aa76-64bca069f86d · outbound

This paper cites H., Pagonabarraga, I., The nonlinear fragmentation equation,J.

On a Class of Continuous Collision-Induced Breakage Equation H., Pagonabarraga, I., The nonlinear fragmentation equation,J

Reference 9

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-29T06:42:29.787413Z digest=sha256:325c7c8c8c0437e9a88e9e5128730cb0c9c32c15a18f557f5981c98d9d0db6f2

Observation d99ab253-792d-43d9-841c-cb50e49c1dc5 · outbound

This paper cites F., On the distribution of the sizes of particles which undergo splitting,Theory Probab.

On a Class of Continuous Collision-Induced Breakage Equation F., On the distribution of the sizes of particles which undergo splitting,Theory Probab

Reference 10

Resolution
unresolved
no resolver link, observed 2026-06-29T06:42:29.787413Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-29T06:42:29.787413Z digest=sha256:d287c496c6920c0a0f9f8f1e7c3c5187587af888d89c2cf5a0b57523c1f5f8ea

Observation a6620ed3-1439-45c3-a77e-e7a5a4baa440 · outbound

This paper cites K., Lauren¸ cot, P., Existence and non-existence for collision-induced breakage equation,SIAM J.

On a Class of Continuous Collision-Induced Breakage Equation K., Lauren¸ cot, P., Existence and non-existence for collision-induced breakage equation,SIAM J

Reference 11

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-29T06:42:29.787413Z digest=sha256:b00ab0ec37fed690b5cdf2b529253400855512ff65625dfb197f15f4dc0a6217

Observation 5d4d84bd-fd8d-4f87-87cf-e59b15017399 · outbound

This paper cites K., Lauren¸ cot, P., Weak solutions to the collision-induced breakage equation with dominating coagulation,J.

On a Class of Continuous Collision-Induced Breakage Equation K., Lauren¸ cot, P., Weak solutions to the collision-induced breakage equation with dominating coagulation,J

Reference 12

Resolution
unresolved
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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-29T06:42:29.787413Z digest=sha256:61115633b410624c7072c7d0b221bbbb4a7c7efe82045543b1eaea5c86be9f47

Observation 90063532-353c-4e26-8108-427c54436c2b · outbound

This paper cites K., Jaiswal, R.

On a Class of Continuous Collision-Induced Breakage Equation K., Jaiswal, R

Reference 13

Resolution
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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-29T06:42:29.787413Z digest=sha256:90143093ce4294acab1d3bbb9e54c932e9fc8d8a9c98d2ea9d47adec02cdad1d

Observation d01528aa-e689-4ef6-a969-a935e3f46674 · outbound

This paper cites J., A study of the nonlinear breakage equation: analytical and asymp- totic solutions,J.

On a Class of Continuous Collision-Induced Breakage Equation J., A study of the nonlinear breakage equation: analytical and asymp- totic solutions,J

Reference 14

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-29T06:42:29.787413Z digest=sha256:149e66ac98409a5e7e04f9ae366cb29b871dbb588dfca465887bf9e3e50a986f

Observation 46a23149-9cae-4b72-bbae-eee67ae6f4f6 · outbound

This paper cites Colloid Interface Sci.,303(2), 419–429, 2006.

On a Class of Continuous Collision-Induced Breakage Equation Colloid Interface Sci.,303(2), 419–429, 2006

Reference 15

Resolution
unresolved
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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-29T06:42:29.787413Z digest=sha256:4a422bf013b072c664b1f82a23c917a1015942eb8dc8a7db3925e93793cece93

Observation ffa9db63-ae4b-480a-bc05-e7deea28319a · outbound

This paper cites L., Ben-Naim, E., Shattering transitions in collision-induced fragmentation,Phys.

On a Class of Continuous Collision-Induced Breakage Equation L., Ben-Naim, E., Shattering transitions in collision-induced fragmentation,Phys

Reference 16

Resolution
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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-29T06:42:29.787413Z digest=sha256:292baf0e752a53607a458377744de0e559dedeae79bfdf287b8bbc145c93b7c8

Observation f9e3923c-bc37-4860-be2d-7ad6138cd9fd · outbound

This paper cites Continuous fragmentation equations in weighted $L^1$ spaces.

On a Class of Continuous Collision-Induced Breakage Equation Continuous fragmentation equations in weighted $L^1$ spaces

Reference 17

Resolution
verified exact
arxiv_id, observed 2026-06-29T06:43:10.289775Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-06-29T06:42:29.787413Z digest=sha256:4192788a455f260d4df8ef34cd0129c2475fddb885171c29ee64d295944a0c1e

Observation 26bf3d8a-8418-4b4f-98fb-c073e79b4042 · outbound

This paper cites Differential Equa- tions,167(2), 245–274, 2000.

On a Class of Continuous Collision-Induced Breakage Equation Differential Equa- tions,167(2), 245–274, 2000

Reference 18

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-29T06:42:29.787413Z digest=sha256:0ec28c37509e2665a1254ec8d592b0efa2d5504c9654bf4ea82443500633b86d

Observation 089f735f-4887-41dc-8f45-d3093e786395 · outbound

This paper cites R., Evolution of raindrop spectra with collision-induced breakup,J.

On a Class of Continuous Collision-Induced Breakage Equation R., Evolution of raindrop spectra with collision-induced breakup,J

Reference 19

Resolution
unresolved
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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-29T06:42:29.787413Z digest=sha256:34cc34bd14ac516f03e23465113f3eb1ca84d36a82b23680eee1c329eda1251c

Observation 570945f2-247e-45e8-8c0a-fc625d8cae29 · outbound

This paper cites Shattering.

On a Class of Continuous Collision-Induced Breakage Equation Shattering

Reference 20

Resolution
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no resolver link, observed 2026-06-29T06:42:29.787413Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-29T06:42:29.787413Z digest=sha256:a31256e13c0d1484aedee35b293911b9db7f09e0f16d1a1d616e2eb6edaf4243

Observation c6d27346-2b4f-48d2-bfa7-eb80ba3d0501 · outbound

This paper cites G., Giri, A.

On a Class of Continuous Collision-Induced Breakage Equation G., Giri, A

Reference 21

Resolution
unresolved
no resolver link, observed 2026-06-29T06:42:29.787413Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-29T06:42:29.787413Z digest=sha256:4770e479969a87cc5ebec69a37f80952f164c2a11d006a6a99919a8bde204991

Observation 570646da-2476-4785-834e-8cc26e66275f · outbound

This paper cites an unresolved cited work.

On a Class of Continuous Collision-Induced Breakage Equation Unresolved cited work

Reference 22

Resolution
unresolved
no resolver link, observed 2026-06-29T06:42:29.787413Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-29T06:42:29.787413Z digest=sha256:fd51e006606f9c1fe1c6fb7c1c65538fc781f27cdd7a5be1326bbd834ef789c8

Observation ff07944c-55a7-425f-862b-7f398afc5153 · outbound

This paper cites C., Parameterization of raindrop size distributions,J.

On a Class of Continuous Collision-Induced Breakage Equation C., Parameterization of raindrop size distributions,J

Reference 23

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-29T06:42:29.787413Z digest=sha256:3e814b464ba63fb3a567fdc4fc908439354f4e8e4969137c71f8dcf5f77e4879

Observation 034890fe-5e40-489f-9c78-0563c66d5e1f · outbound

This paper cites W., A global existence theorem for the general coagulation-fragmentation equation with unbounded kernels,Math.

On a Class of Continuous Collision-Induced Breakage Equation W., A global existence theorem for the general coagulation-fragmentation equation with unbounded kernels,Math

Reference 24

Resolution
unresolved
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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-29T06:42:29.787413Z digest=sha256:b90405097dcdb7a0faefb874062f9410fd6b974ae8f5f8e655ee95944d4a0176

Pith citing papers

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