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Paper Citation Record · LEDGER

On a Class of Continuous Collision-Induced Breakage Equation

As of 24 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 2026-08-23T06:30:58.430688+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

24 of 24 outbound references displayed

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  • verified fuzzy0
  • unresolved23
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  • malformed identifier0
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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=sha256:2dbfa9f14ec3f9a487a2f4c3caa04b0344dc4dbcf42cd24f4203c489d1761c6e

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=sha256:5846364fd45d68bde74ddb3aad549c98caeb15903a77a3e5458deea5c82f820d

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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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-29T06:42:29.787413Z digest=sha256:3bc29f4cf663b22aea17b0c929db0a74eb01c00a27a7bf6822c62804a4f8e273

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=sha256:8a0df16ceeb2100fdf749ebbee3c4f866abb4e204499a8ec5811ccebbd679c67

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

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=sha256:1b18f37c4b277ab748f7822d2ed2e7c17947c46b4fd770c08111377d9476cc85

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=sha256:9a3224bf8e912abeb42a945a6bce110fc5f8adf84a4aa3aa0ff20402d19c1f61

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

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:e603dbe411dc6484d8c926fe218a80c17e50bd0369f898efbbecad18cb498031

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=sha256:6f9548007f81231f72662821caa8be58bf3ad79763260b5a23cd79d42b2e39ab

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:fe67fd7233ad7de8ba627732217206568532bb59381b90d1d001ed676bbe4a61

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=sha256:66779879f036b77feb9a1b618ad6a89ef587a9b05643345bb49762f3bbdded24

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=sha256:184cc4cf8e0ed0acc630704f62362eb683938bc4af008f65ad88efb0150b78b4

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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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-29T06:42:29.787413Z digest=sha256:975551b6a7e36a439eb5240221542712a100b7a16afbc32e72d5b27b6b865062

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
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:ea5a8a72a6f657d5f8229852451386edc2c4ee1dfe1564d9941a11720e50df04

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:f334e31955807db5b7a0d871950f20a1015b81a8629d07e440729f62ae6bf9c2

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=sha256:0a574203b7fec24370bf8e537cc2c88b38983dbfe36d614b7c1e432209f5adef

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
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=sha256:7e73c18fe17a970d486a6ee1e02ff8eaae17c844b8f50c359f898e63955c3106

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

source=pdf_text observed=2026-06-29T06:42:29.787413Z digest=sha256:a585cc608626cc995231a1a649fc15781ebce15e8570d05afc408839a069ae67

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=sha256:36e214182ac6b98f000d74c3bfd19904d3df367e608eda8bced72cb23009bf1b

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:dc9427afa714044b3d3352b588c7e3e5aaf83976d4f2df51f5bf13a9f26ed890

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

This paper cites Shattering.

On a Class of Continuous Collision-Induced Breakage Equation Shattering

Reference 20

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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:b1e15f4d24f2dc9652ec53630629e9555131c2ad9e8f53ac540f6c2eb2159e35

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=sha256:73a026a1bfbc0f2cf83ea4948b285cd33d7df5a8d97b9e85c7d84935ef0eddb9

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:e2ba0adf195a24c72bd85a5a0925ddd15acdd634ea5be3df00d274a4e8b3ff47

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

Resolution
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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-29T06:42:29.787413Z digest=sha256:2f7adda26e3d3bfe0d0f16bdc151aeff844bbfecf1a1b01d07c9ef88623535b6

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:a9f6b7a8c216a9af0b2fe24b083ad91a3cb8c50a48d7efeb32f0b97014340a46

Pith citing papers

No inbound Pith citation observations are available.