Paper Citation Record · LEDGER

Cluster-Cluster model in $\mathbb{Z}^d$

As of 12 August 2026, this Paper Citation Record lists 36 of 36 outbound references and 0 inbound Pith citation observations for arXiv:2608.05105.

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

pith.paper-citation-record.v1
2608.05105 v1

Coverage vector

measured 36 of 36 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T05:24:52.979727Z

measured 36 of 36 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+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

36 of 36 outbound references displayed

verified exact4
verified fuzzy24
unresolved8
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation d2374bb5-5aa0-4d6b-8a6d-a35063cf0d2d · outbound

This paper cites The standard additive coalescent.Annals of Probability, pages 1703– 1726, 1998.

Cluster-Cluster model in $\mathbb{Z}^d$ The standard additive coalescent.Annals of Probability, pages 1703– 1726, 1998

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T05:24:58.773382Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 3216724c-363a-40bd-b010-872962fbddc0 · outbound

This paper cites Ball and Jack Carr.

Cluster-Cluster model in $\mathbb{Z}^d$ Ball and Jack Carr

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T05:24:58.650710Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation d39af146-9457-4386-81d7-4c6bdb5d02f3 · outbound

This paper cites Berger, N.

Cluster-Cluster model in $\mathbb{Z}^d$ Berger, N

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T05:24:58.504407Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 5b514e71-e064-40d3-9100-2509f02aa5b2 · outbound

This paper cites Berger, E.

Cluster-Cluster model in $\mathbb{Z}^d$ Berger, E

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T05:24:58.357800Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 89d618ce-cf27-4bea-8db1-affb9394c3db · outbound

This paper cites Logarithmic fluctuations of Stationary Hastings-Levitov.

Cluster-Cluster model in $\mathbb{Z}^d$ Logarithmic fluctuations of Stationary Hastings-Levitov

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-06T05:24:49.656539Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 72e3ecdf-f9c4-4032-9088-7a8cfe3a47c1 · outbound

This paper cites Procaccia, and Daniel Sharon.

Cluster-Cluster model in $\mathbb{Z}^d$ Procaccia, and Daniel Sharon

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T05:24:58.241347Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation ba85ab63-9f86-483a-87c6-e9b7224b1120 · outbound

This paper cites Pool model: a mass preserving multi particle aggregation process.

Cluster-Cluster model in $\mathbb{Z}^d$ Pool model: a mass preserving multi particle aggregation process

Reference 7

Resolution: verified exact; local_arxiv, observed 2026-08-06T05:24:53.761942Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 575a5a5c-d0ea-4d6d-9de9-16cb2831d24f · outbound

This paper cites da Costa.

Cluster-Cluster model in $\mathbb{Z}^d$ da Costa

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T05:24:58.123446Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 3e959205-6dc7-45fb-9991-3b1e8eb1b3f4 · outbound

This paper cites an unresolved cited work.

Cluster-Cluster model in $\mathbb{Z}^d$ Unresolved cited work

Reference 9

Resolution: unresolved; raw_fallback, observed 2026-08-06T05:24:57.883278Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation d1eecca8-3ca8-4810-a846-a17e29d34fde · outbound

This paper cites The critical one-dimensional multi-particle DLA.

Cluster-Cluster model in $\mathbb{Z}^d$ The critical one-dimensional multi-particle DLA

Reference 10

Resolution: verified exact; local_arxiv, observed 2026-08-06T05:24:53.538097Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 20860695-95a9-475f-aefa-231798b813f0 · outbound

This paper cites an unresolved cited work.

Cluster-Cluster model in $\mathbb{Z}^d$ Unresolved cited work

Reference 11

Resolution: unresolved; raw_fallback, observed 2026-08-06T05:24:57.719898Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 34dd7fbe-fa30-48c1-b0cb-1c33568a94e6 · outbound

This paper cites Protein aggregation processes: In search of the mechanism.Protein Science, 16(11):2334– 2344, 2007.

Cluster-Cluster model in $\mathbb{Z}^d$ Protein aggregation processes: In search of the mechanism.Protein Science, 16(11):2334– 2344, 2007

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T05:24:57.556512Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 22c464b6-3fd2-4ad3-97c9-3dd5ad275591 · outbound

This paper cites Coagulation and diffusion: a probabilistic perspective on the smoluchowski PDE.

Cluster-Cluster model in $\mathbb{Z}^d$ Coagulation and diffusion: a probabilistic perspective on the smoluchowski PDE

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T05:24:57.420576Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 00062325-abc9-40cf-95c9-e928d9b47f1d · outbound

This paper cites The kinetic limit of a system of coagulating brownian particles.Archive for Rational Mechanics and Analysis, 185(1):1–67, 2007.

Cluster-Cluster model in $\mathbb{Z}^d$ The kinetic limit of a system of coagulating brownian particles.Archive for Rational Mechanics and Analysis, 185(1):1–67, 2007

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T05:24:57.293919Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 7c46e488-bc8a-4dc5-8b9a-ecbf5a9ca837 · outbound

This paper cites Moment bounds for the smoluchowski equation and their consequences.Communications in Mathematical Physics, 276(3):645–670, 2007.

Cluster-Cluster model in $\mathbb{Z}^d$ Moment bounds for the smoluchowski equation and their consequences.Communications in Mathematical Physics, 276(3):645–670, 2007

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T05:24:57.049202Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation aa2ad9ba-6bde-4101-b195-4d0c872da656 · outbound

This paper cites an unresolved cited work.

Cluster-Cluster model in $\mathbb{Z}^d$ Unresolved cited work

Reference 16

Resolution: unresolved; raw_fallback, observed 2026-08-06T05:24:56.813216Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 8f307007-7922-4d77-8a73-16611788a9f0 · outbound

This paper cites Spatial Coagulation Systems with Mercer Kernels: Replicator Dynamics and Gelation.

Cluster-Cluster model in $\mathbb{Z}^d$ Spatial Coagulation Systems with Mercer Kernels: Replicator Dynamics and Gelation

Reference 17

Resolution: verified exact; local_arxiv, observed 2026-08-06T05:24:53.384472Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 84b4d5ef-4cd0-4d68-9f38-26bfa4577ea7 · outbound

This paper cites The discrete coagulation equations with multiple fragmentation.Proceedings of the Edinburgh Mathematical Society, 45(1):67–82, 2002.

Cluster-Cluster model in $\mathbb{Z}^d$ The discrete coagulation equations with multiple fragmentation.Proceedings of the Edinburgh Mathematical Society, 45(1):67–82, 2002

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T05:24:56.643960Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation d94ab668-6db0-4d9f-b68e-a48eec66cb1d · outbound

This paper cites Lawler and Vlada Limic.Random Walk: A Modern Introduction, volume 123 ofCambridge Studies in Advanced Mathematics.

Cluster-Cluster model in $\mathbb{Z}^d$ Lawler and Vlada Limic.Random Walk: A Modern Introduction, volume 123 ofCambridge Studies in Advanced Mathematics

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T05:24:56.491493Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 0ca68250-3822-4f61-9379-4147a24cd8f7 · outbound

This paper cites Scaling theory and exactly solved models in the kinetics of irreversible aggregation.

Cluster-Cluster model in $\mathbb{Z}^d$ Scaling theory and exactly solved models in the kinetics of irreversible aggregation

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T05:24:56.336280Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 9dd4d082-841d-42fe-b1e1-0843235dee79 · outbound

This paper cites Liggett.Interacting Particle Systems, volume 276 ofGrundlehren der mathematischen Wissenschaften.

Cluster-Cluster model in $\mathbb{Z}^d$ Liggett.Interacting Particle Systems, volume 276 ofGrundlehren der mathematischen Wissenschaften

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T05:24:56.142667Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 804d6454-8eaa-4143-81b7-569817951ea6 · outbound

This paper cites How Long are the Arms in DBM?Communications in Mathematical Physics, 406(4):1–16, 2025.

Cluster-Cluster model in $\mathbb{Z}^d$ How Long are the Arms in DBM?Communications in Mathematical Physics, 406(4):1–16, 2025

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T05:24:56.025308Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation d511176c-233d-48ca-8bbb-6896b5e248df · outbound

This paper cites Gelation in coagulating systems.Physica D: Nonlinear Phenomena, 222(1-2):37–53, 2006.

Cluster-Cluster model in $\mathbb{Z}^d$ Gelation in coagulating systems.Physica D: Nonlinear Phenomena, 222(1-2):37–53, 2006

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T05:24:55.880533Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 60767910-6a2e-44b9-b343-2adc580898ea · outbound

This paper cites Coagulation in finite systems.Journal of Colloid and interface science, 65(2):276– 285, 1978.

Cluster-Cluster model in $\mathbb{Z}^d$ Coagulation in finite systems.Journal of Colloid and interface science, 65(2):276– 285, 1978

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T05:24:55.642778Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 7e9803e2-7dea-4ac4-9477-9e9cedc51e9a · outbound

This paper cites Diffusion-limited aggregation in three dimensions: results from a new cluster-cluster aggregation model.Journal of colloid and interface science, 102(2):491–504, 1984.

Cluster-Cluster model in $\mathbb{Z}^d$ Diffusion-limited aggregation in three dimensions: results from a new cluster-cluster aggregation model.Journal of colloid and interface science, 102(2):491–504, 1984

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T05:24:55.481613Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 29ce43a8-f6cc-4ef1-bedb-f61c558fb1fc · outbound

This paper cites an unresolved cited work.

Cluster-Cluster model in $\mathbb{Z}^d$ Unresolved cited work

Reference 26

Resolution: unresolved; raw_fallback, observed 2026-08-06T05:24:55.315394Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 63a57a8e-6d70-4964-ba2a-a84df62114e7 · outbound

This paper cites Dynamic cluster-size distribution in cluster-cluster aggregation: Effects of cluster diffusivity.Physical Review B, 31(1):564, 1985.

Cluster-Cluster model in $\mathbb{Z}^d$ Dynamic cluster-size distribution in cluster-cluster aggregation: Effects of cluster diffusivity.Physical Review B, 31(1):564, 1985

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T05:24:55.045291Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation e7c81a7c-7104-4e43-8ef8-88406dd4449b · outbound

This paper cites an unresolved cited work.

Cluster-Cluster model in $\mathbb{Z}^d$ Unresolved cited work

Reference 28

Resolution: unresolved; raw_fallback, observed 2026-08-06T05:24:54.924698Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation c383075d-1b59-43de-a43d-dffb0035146c · outbound

This paper cites an unresolved cited work.

Cluster-Cluster model in $\mathbb{Z}^d$ Unresolved cited work

Reference 29

Resolution: unresolved; raw_fallback, observed 2026-08-06T05:24:54.784673Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 165ee168-db79-4ac0-bc3c-50d164ea4ebf · outbound

This paper cites Coalescent random forests.Journal of Combinatorial Theory, Series A, 85(2):165–193, 1999.

Cluster-Cluster model in $\mathbb{Z}^d$ Coalescent random forests.Journal of Combinatorial Theory, Series A, 85(2):165–193, 1999

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T05:24:54.631223Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 2c95816a-cd79-4703-b3f9-77d1a18804a9 · outbound

This paper cites Dimension of diffusion-limited aggregates grown on a line.

Cluster-Cluster model in $\mathbb{Z}^d$ Dimension of diffusion-limited aggregates grown on a line

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T05:24:54.488357Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 00561009-c654-40c3-9e0a-3169b113b221 · outbound

This paper cites Exact calculation of the probabilities of rare events in cluster-cluster aggregation.Physical Review Letters, 133(9):097101, 2024.

Cluster-Cluster model in $\mathbb{Z}^d$ Exact calculation of the probabilities of rare events in cluster-cluster aggregation.Physical Review Letters, 133(9):097101, 2024

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T05:24:54.359497Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation c6f8711a-3cd1-47f4-a8ab-6463270fdb02 · outbound

This paper cites One-dimensional Multi-particle DLA -- a PDE approach.

Cluster-Cluster model in $\mathbb{Z}^d$ One-dimensional Multi-particle DLA -- a PDE approach

Reference 33

Resolution: verified exact; local_arxiv, observed 2026-08-06T05:24:53.142851Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation a4d05232-37f2-4f77-b252-7f118d201b31 · outbound

This paper cites On one-dimensional multi-particle diffusion limited aggregation.

Cluster-Cluster model in $\mathbb{Z}^d$ On one-dimensional multi-particle diffusion limited aggregation

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T05:24:54.230457Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation c95cb2fe-7f08-411d-bd2e-48a6036864f1 · outbound

This paper cites an unresolved cited work.

Cluster-Cluster model in $\mathbb{Z}^d$ Unresolved cited work

Reference 35

Resolution: unresolved; raw_fallback, observed 2026-08-06T05:24:54.056543Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 76e6ba6d-cb25-4027-9575-af475a299dcb · outbound

This paper cites The theory of Ostwald ripening.Journal of Statistical Physics, 38:231–252, 1985.

Cluster-Cluster model in $\mathbb{Z}^d$ The theory of Ostwald ripening.Journal of Statistical Physics, 38:231–252, 1985

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T05:24:53.909956Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Pith citing papers

No inbound Pith citation observations are available.