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Paper Citation Record · LEDGER

On one-dimensional Cluster cluster model

As of 15 August 2026, this Paper Citation Record lists 24 of 24 outbound references and 1 inbound Pith citation observation for arXiv:2507.03552.

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

pith.paper-citation-record.v1
2507.03552 v1

Coverage vector

measured 24 of 24 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T20:33:22.113863Z

measured 25 of 25 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-15T06:32:42.880941+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-05-10T10:15:43.329837Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: arxiv_reference, observed 2026-05-10T10:19:21.478593Z

Reference resolution

24 of 24 outbound references displayed

  • verified exact0
  • verified fuzzy15
  • unresolved9
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 282f5bf5-034c-41e4-a2e8-7e273c870ede · outbound

This paper cites Berger, E.

On one-dimensional Cluster cluster model Berger, E

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:33:22.283541Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation 840b8644-c25a-4ac6-a227-60c6a58e0017 · outbound

This paper cites Procaccia, Dominik Schmid, and Daniel Sharon.

On one-dimensional Cluster cluster model Procaccia, Dominik Schmid, and Daniel Sharon

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:33:22.276565Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-06T20:33:21.115139Z digest=sha256:9be99cc26700f3ec768c54412c6ae4279f5eb949efe563252ddd597dd58dcf06

Observation a959909f-6a3f-4f3b-9823-50119c169e53 · outbound

This paper cites an unresolved cited work.

On one-dimensional Cluster cluster model Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-06T20:33:22.269815Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation 06a694a7-c686-4c06-9153-39fb02a54ba1 · outbound

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

On one-dimensional Cluster cluster model The critical one-dimensional multi-particle DLA

Reference 4

Resolution
unresolved
no resolver link, observed 2026-08-06T20:33:21.315693Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T20:33:21.315693Z digest=sha256:4f2caf35f895b49a25f070a335a8b3edcc1e2b8f45902d66fd06542e35cab719

Observation 43424ec8-307c-4d21-902c-9b23942e45c6 · outbound

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

On one-dimensional Cluster cluster model Protein aggregation processes: In search of the mechanism.Protein Science, 16(11):2334– 2344, 2007

Reference 5

Resolution
unresolved
no resolver link, observed 2026-08-06T20:33:21.521581Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T20:33:21.521581Z digest=sha256:c17579ec1055f110552d060f1616e32f12b9e8200be31d56b9775c92be0a0704

Observation 29d4bbfb-d4e2-4e5e-9ed9-3f9930ca642b · outbound

This paper cites an unresolved cited work.

On one-dimensional Cluster cluster model Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-06T20:33:22.258825Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation 039a9ca9-5a4b-4b2e-8569-e75fad7d113e · outbound

This paper cites Random walk: a modern introduction, volume 123.

On one-dimensional Cluster cluster model Random walk: a modern introduction, volume 123

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:33:22.252464Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation 6808eb33-ddfd-4856-8456-df36a8305a02 · outbound

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

On one-dimensional Cluster cluster model Scaling theory and exactly solved models in the kinetics of irreversible aggregation

Reference 8

Resolution
unresolved
no resolver link, observed 2026-08-06T20:33:21.837151Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T20:33:21.837151Z digest=sha256:80724c912e133507b1399e946afe525dd4528a0e495ee13db4231c0aaf038a1a

Observation 85edaa98-ba47-4e04-ab5e-9eb72a1b9f65 · outbound

This paper cites How long are the arms in dbm? Communications in Mathematical Physics, 406(4):1–16, 2025.

On one-dimensional Cluster cluster model How long are the arms in dbm? Communications in Mathematical Physics, 406(4):1–16, 2025

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:33:22.242361Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation 4ef62f6c-e337-442e-9048-fd443cf7e8c3 · outbound

This paper cites Gelation in coagulating systems.

On one-dimensional Cluster cluster model Gelation in coagulating systems

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:33:22.235565Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation fa0b018e-282d-4164-afef-dd25b43b6e18 · outbound

This paper cites Coagulation in finite systems.

On one-dimensional Cluster cluster model Coagulation in finite systems

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:33:22.228653Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation d5943535-2e28-4ae2-b5ca-09e855b6d37b · outbound

This paper cites Diffusion-limited aggregation in three dimensions: results from a new cluster-cluster aggregation model.

On one-dimensional Cluster cluster model Diffusion-limited aggregation in three dimensions: results from a new cluster-cluster aggregation model

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:33:22.222576Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-06T20:33:22.085862Z digest=sha256:bd0019ba58608d253a2deb997cc1a4e331ef7055cf4de793baf518e1d1d351cd

Observation ce6f22d0-a723-487b-8a0a-cf1c8c55c4f8 · outbound

This paper cites Effects of cluster trajectories on cluster-cluster aggregation: A comparison of linear and brownian trajectories in two-and three-dimensional simulations.

On one-dimensional Cluster cluster model Effects of cluster trajectories on cluster-cluster aggregation: A comparison of linear and brownian trajectories in two-and three-dimensional simulations

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:33:22.215086Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-06T20:33:22.088263Z digest=sha256:7a6c49c3546940fb2cea81ac17d564387266ea4bc12b27179ec7530570e257db

Observation 729def65-eeb2-46bb-a910-1f4ed1508e55 · outbound

This paper cites Dynamic cluster-size distribution in cluster-cluster aggregation: Effects of cluster diffusivity.

On one-dimensional Cluster cluster model Dynamic cluster-size distribution in cluster-cluster aggregation: Effects of cluster diffusivity

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:33:22.208386Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-06T20:33:22.090512Z digest=sha256:211974da235096b2def7188bbb315e494e50124f07f9f872f43053ffdf3d8892

Observation 2d400095-3da4-4a59-88ff-6b8230f552bf · outbound

This paper cites an unresolved cited work.

On one-dimensional Cluster cluster model Unresolved cited work

Reference 15

Resolution
unresolved
raw_fallback, observed 2026-08-06T20:33:22.201490Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation 22dc6c0d-97c8-4f56-af77-c59379d4bd09 · outbound

This paper cites Lehrbuch der allgemeinen Chemie, volume 1.

On one-dimensional Cluster cluster model Lehrbuch der allgemeinen Chemie, volume 1

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:33:22.194716Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-06T20:33:22.095170Z digest=sha256:8597b2acbd071d3aee9a06dd6869b689717212f30cd6cc9c3fa20dff27a55d78

Observation d2df6e44-99a8-479f-8aed-e249026b65c0 · outbound

This paper cites an unresolved cited work.

On one-dimensional Cluster cluster model Unresolved cited work

Reference 17

Resolution
unresolved
raw_fallback, observed 2026-08-06T20:33:22.187758Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation 9403a45b-f4d2-4fff-b275-812b172f3b12 · outbound

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

On one-dimensional Cluster cluster model Dimension of diffusion-limited aggregates grown on a line

Reference 18

Resolution
unresolved
no resolver link, observed 2026-08-06T20:33:22.099694Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T20:33:22.099694Z digest=sha256:bebe09515ac8299d2cbc1cec60fdf3cc343200c996aa45f2ffbc2e893512276e

Observation 2e0caf63-8f62-43b6-86e8-04c45afa924e · outbound

This paper cites Exact calculation of the probabilities of rare events in cluster-cluster aggregation.

On one-dimensional Cluster cluster model Exact calculation of the probabilities of rare events in cluster-cluster aggregation

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:33:22.176514Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-06T20:33:22.101851Z digest=sha256:ab21747e3e61616ba2988b5a774f75309d3dbc0affdc4244d32645284561a085

Observation f4c73626-6690-4902-bb28-3b371fe0fb91 · outbound

This paper cites Erd˝ os-renyi random graphs forest fires self-organized criticality.

On one-dimensional Cluster cluster model Erd˝ os-renyi random graphs forest fires self-organized criticality

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:33:22.169838Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation 53903c9f-70b7-48d9-a78e-ffbce82f3658 · outbound

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

On one-dimensional Cluster cluster model One-dimensional Multi-particle DLA -- a PDE approach

Reference 21

Resolution
unresolved
no resolver link, observed 2026-08-06T20:33:22.106500Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T20:33:22.106500Z digest=sha256:4b9ab1f3ae56708c0e7b9d86daaee2903d5dd7886abb1366ba895cd4a750659c

Observation 6ef25dfe-d6dd-4308-9403-d7c4568b97ba · outbound

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

On one-dimensional Cluster cluster model On one-dimensional multi-particle diffusion limited aggregation

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:33:22.163265Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation 9410b427-dcc3-4d21-bbd0-a789ca932fb3 · outbound

This paper cites Versuch einer mathematischen theorie der koagulationskinetik kolloider l¨ osungen.

On one-dimensional Cluster cluster model Versuch einer mathematischen theorie der koagulationskinetik kolloider l¨ osungen

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:33:22.156566Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation 9b550bbb-66fc-48fd-b225-4a61a206d907 · outbound

This paper cites The theory of ostwald ripening.

On one-dimensional Cluster cluster model The theory of ostwald ripening

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:33:22.147994Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-06T20:33:22.113863Z digest=sha256:631e3b95916d781bca1dbb962fc87c8d660846fc82765e2fae67a6d73740cece

Pith citing papers

Observation 759c0d26-d5ec-4d26-bb81-acaac55c4fe7 · inbound

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

Pool model: a mass preserving multi particle aggregation process On one-dimensional Cluster cluster model

Reference 1

Resolution
verified exact
arxiv_id, observed 2026-05-10T10:19:21.480582Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-05-10T10:15:43.329837Z digest=sha256:2cf503dafc73e28e6b598cf44b5bd529d8670621ed4822e411b655206b0be754