Paper Citation Record · LEDGER

Spatial Coagulation Systems with Mercer Kernels: Replicator Dynamics and Gelation

As of 13 August 2026, this Paper Citation Record lists 28 of 28 outbound references and 1 inbound Pith citation observation for arXiv:2606.22967.

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

pith.paper-citation-record.v1
2606.22967 v1

Coverage vector

measured 28 of 28 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-06-26T07:55:56.635914Z

measured 29 of 29 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-06T05:24:51.170638Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-06T05:24:53.279446Z

Reference resolution

28 of 28 outbound references displayed

verified exact3
verified fuzzy0
unresolved25
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 1ebed292-282d-4b0f-b638-9f0ef9f15df4 · outbound

This paper cites an unresolved cited work.

Spatial Coagulation Systems with Mercer Kernels: Replicator Dynamics and Gelation Unresolved cited work

Reference 1

Resolution: unresolved; no resolver link, observed 2026-06-26T07:55:56.635914Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6608506b-b052-4bb6-b7b5-8aa1bde5e337 · outbound

This paper cites Amorim, A.

Spatial Coagulation Systems with Mercer Kernels: Replicator Dynamics and Gelation Amorim, A

Reference 2

Resolution: verified exact; arxiv_id, observed 2026-07-04T11:29:51.338521Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 166debab-0972-465d-b724-dda9c7711b3d · outbound

This paper cites Andreis, T.

Spatial Coagulation Systems with Mercer Kernels: Replicator Dynamics and Gelation Andreis, T

Reference 3

Resolution: unresolved; no resolver link, observed 2026-06-26T07:55:56.635914Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 423f0f5c-22a0-4686-ad06-ff399f8e152b · outbound

This paper cites Andreis, T.

Spatial Coagulation Systems with Mercer Kernels: Replicator Dynamics and Gelation Andreis, T

Reference 4

Resolution: verified exact; doi, observed 2026-06-26T07:59:08.001735Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 21d611be-de02-4831-a485-95b080775428 · outbound

This paper cites Andreis, W.

Spatial Coagulation Systems with Mercer Kernels: Replicator Dynamics and Gelation Andreis, W

Reference 5

Resolution: unresolved; no resolver link, observed 2026-06-26T07:55:56.635914Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d7c4b54a-04fa-4b27-8a89-17aa8ebc8b1a · outbound

This paper cites Andreis, W.

Spatial Coagulation Systems with Mercer Kernels: Replicator Dynamics and Gelation Andreis, W

Reference 6

Resolution: unresolved; no resolver link, observed 2026-06-26T07:55:56.635914Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 22d3d1bc-e8f0-46ac-8c37-ec6137df6292 · outbound

This paper cites Aronszajn.

Spatial Coagulation Systems with Mercer Kernels: Replicator Dynamics and Gelation Aronszajn

Reference 7

Resolution: unresolved; no resolver link, observed 2026-06-26T07:55:56.635914Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fd755198-418b-4d38-bcb6-e6791276797e · outbound

This paper cites Escobedo, P.

Spatial Coagulation Systems with Mercer Kernels: Replicator Dynamics and Gelation Escobedo, P

Reference 8

Resolution: unresolved; no resolver link, observed 2026-06-26T07:55:56.635914Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d25ed43b-24b0-4e4d-b219-7d2a8d94945f · outbound

This paper cites an unresolved cited work.

Spatial Coagulation Systems with Mercer Kernels: Replicator Dynamics and Gelation Unresolved cited work

Reference 9

Resolution: unresolved; no resolver link, observed 2026-06-26T07:55:56.635914Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f521e674-2dea-498a-b2c3-d85b7113cf6f · outbound

This paper cites Global existence of measure-valued solutions to the multicomponent Smoluchowski coagulation equation.

Spatial Coagulation Systems with Mercer Kernels: Replicator Dynamics and Gelation Global existence of measure-valued solutions to the multicomponent Smoluchowski coagulation equation

Reference 10

Resolution: verified exact; arxiv_id, observed 2026-07-04T11:29:51.340939Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation d840c60b-20ac-46f6-a972-1a2960395f2f · outbound

This paper cites Fournier.

Spatial Coagulation Systems with Mercer Kernels: Replicator Dynamics and Gelation Fournier

Reference 11

Resolution: unresolved; no resolver link, observed 2026-06-26T07:55:56.635914Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 97bdcdfd-7416-4586-9e45-84b8dc5c1a83 · outbound

This paper cites Fournier and J.-S.

Spatial Coagulation Systems with Mercer Kernels: Replicator Dynamics and Gelation Fournier and J.-S

Reference 12

Resolution: unresolved; no resolver link, observed 2026-06-26T07:55:56.635914Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ed570c24-dfec-4101-8952-9c2a8fb13a42 · outbound

This paper cites Fournier and P.

Spatial Coagulation Systems with Mercer Kernels: Replicator Dynamics and Gelation Fournier and P

Reference 13

Resolution: unresolved; no resolver link, observed 2026-06-26T07:55:56.635914Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c573f48e-8948-479c-b16b-267c04a9b433 · outbound

This paper cites Fournier and P.

Spatial Coagulation Systems with Mercer Kernels: Replicator Dynamics and Gelation Fournier and P

Reference 14

Resolution: unresolved; no resolver link, observed 2026-06-26T07:55:56.635914Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 73ffdd1b-1442-476b-9b53-72a69a9223d0 · outbound

This paper cites an unresolved cited work.

Spatial Coagulation Systems with Mercer Kernels: Replicator Dynamics and Gelation Unresolved cited work

Reference 15

Resolution: unresolved; no resolver link, observed 2026-06-26T07:55:56.635914Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e2693d45-bee6-4f26-ae0a-1775e1ae31e1 · outbound

This paper cites Heydecker and R.

Spatial Coagulation Systems with Mercer Kernels: Replicator Dynamics and Gelation Heydecker and R

Reference 16

Resolution: unresolved; no resolver link, observed 2026-06-26T07:55:56.635914Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 79b7d3ad-6858-4c30-8e19-ce0d49d446b2 · outbound

This paper cites Hofbauer and K.

Spatial Coagulation Systems with Mercer Kernels: Replicator Dynamics and Gelation Hofbauer and K

Reference 17

Resolution: unresolved; no resolver link, observed 2026-06-26T07:55:56.635914Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e7d8a22c-13da-41e1-9f6f-302e28575c37 · outbound

This paper cites Hoogendijk, I.

Spatial Coagulation Systems with Mercer Kernels: Replicator Dynamics and Gelation Hoogendijk, I

Reference 18

Resolution: unresolved; no resolver link, observed 2026-06-26T07:55:56.635914Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a7b23e36-5e73-4c1b-9e9d-6d2bf15a5b5f · outbound

This paper cites an unresolved cited work.

Spatial Coagulation Systems with Mercer Kernels: Replicator Dynamics and Gelation Unresolved cited work

Reference 19

Resolution: unresolved; no resolver link, observed 2026-06-26T07:55:56.635914Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6a334b37-a754-4319-9298-cf21482e804c · outbound

This paper cites an unresolved cited work.

Spatial Coagulation Systems with Mercer Kernels: Replicator Dynamics and Gelation Unresolved cited work

Reference 20

Resolution: unresolved; no resolver link, observed 2026-06-26T07:55:56.635914Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f4eec60b-ddf2-4ca3-ba9b-6a0f6d6cbe4b · outbound

This paper cites Lushnikov.

Spatial Coagulation Systems with Mercer Kernels: Replicator Dynamics and Gelation Lushnikov

Reference 21

Resolution: unresolved; no resolver link, observed 2026-06-26T07:55:56.635914Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bc78fbd8-27b0-4716-8869-ae3854c78c03 · outbound

This paper cites an unresolved cited work.

Spatial Coagulation Systems with Mercer Kernels: Replicator Dynamics and Gelation Unresolved cited work

Reference 22

Resolution: unresolved; no resolver link, observed 2026-06-26T07:55:56.635914Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 546b8c0b-a8b7-4cfd-ba1b-77ef2c558b03 · outbound

This paper cites an unresolved cited work.

Spatial Coagulation Systems with Mercer Kernels: Replicator Dynamics and Gelation Unresolved cited work

Reference 23

Resolution: unresolved; no resolver link, observed 2026-06-26T07:55:56.635914Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 96d8e04a-ed3c-4ec5-a02a-9df649de49c0 · outbound

This paper cites an unresolved cited work.

Spatial Coagulation Systems with Mercer Kernels: Replicator Dynamics and Gelation Unresolved cited work

Reference 24

Resolution: unresolved; no resolver link, observed 2026-06-26T07:55:56.635914Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 955778c4-e87b-4395-87a8-bc706ade89bd · outbound

This paper cites an unresolved cited work.

Spatial Coagulation Systems with Mercer Kernels: Replicator Dynamics and Gelation Unresolved cited work

Reference 25

Resolution: unresolved; no resolver link, observed 2026-06-26T07:55:56.635914Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6aa15b7d-12d9-4ca0-a01f-0af0b34989f6 · outbound

This paper cites Rezakhanlou.

Spatial Coagulation Systems with Mercer Kernels: Replicator Dynamics and Gelation Rezakhanlou

Reference 26

Resolution: unresolved; no resolver link, observed 2026-06-26T07:55:56.635914Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b32cb55b-e7f1-47ff-9e5b-d93fd640ddce · outbound

This paper cites an unresolved cited work.

Spatial Coagulation Systems with Mercer Kernels: Replicator Dynamics and Gelation Unresolved cited work

Reference 27

Resolution: unresolved; no resolver link, observed 2026-06-26T07:55:56.635914Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 896c74ad-d94f-439a-89a3-ddf0db861c76 · outbound

This paper cites an unresolved cited work.

Spatial Coagulation Systems with Mercer Kernels: Replicator Dynamics and Gelation Unresolved cited work

Reference 28

Resolution: unresolved; no resolver link, observed 2026-06-26T07:55:56.635914Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

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

Cluster-Cluster model in $\mathbb{Z}^d$ cites this paper.

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 2026-08-13T06:32:02.005865+00:00.