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Paper Citation Record · LEDGER

Collisions of random walks on comb graphs with a planar base

As of 12 August 2026, this Paper Citation Record lists 23 of 23 outbound references and 2 inbound Pith citation observations for arXiv:2508.19814.

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

pith.paper-citation-record.v1
2508.19814 v1

Coverage vector

measured 23 of 23 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-05T15:35:47.930701Z

measured 25 of 25 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 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-07-12T06:08:15.459958Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

23 of 23 outbound references displayed

  • verified exact0
  • verified fuzzy21
  • unresolved2
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 3a3123df-b40a-4a85-a203-ecc5e048eab2 · outbound

This paper cites an unresolved cited work.

Collisions of random walks on comb graphs with a planar base Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-05T15:35:48.192329Z

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.

source=pdf_text observed=2026-08-05T15:35:47.848313Z digest=sha256:be51ae93f2ae6bb8b519a5475063a3873f1ad6d25291e9960691ea13d580bc47

Observation 3328c3d6-7151-4714-9943-7988b8a3b796 · outbound

This paper cites Randomwalksonsupercriticalpercolationclusters.

Collisions of random walks on comb graphs with a planar base Randomwalksonsupercriticalpercolationclusters

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T15:35:48.182577Z

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.

source=pdf_text observed=2026-08-05T15:35:47.852868Z digest=sha256:cb6d0d0670cb8a2b05d9977afcab3bd40893d3f29c628f3a1783cf2330778c83

Observation 45c8b855-430c-49d9-a89c-a70ec35f7b23 · outbound

This paper cites Random walks and heat kernels on graphs, volume438of London Mathematical Society Lecture Note Series.

Collisions of random walks on comb graphs with a planar base Random walks and heat kernels on graphs, volume438of London Mathematical Society Lecture Note Series

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T15:35:48.172333Z

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.

source=pdf_text observed=2026-08-05T15:35:47.857661Z digest=sha256:500061083c2cb59ff194b47c460023962297a4336ca58990a26d0ba8eb95f81e

Observation 295c9bb2-e92c-493d-92bb-2d8b6debd2a5 · outbound

This paper cites Barlow, T.

Collisions of random walks on comb graphs with a planar base Barlow, T

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T15:35:48.161157Z

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.

source=pdf_text observed=2026-08-05T15:35:47.861399Z digest=sha256:bc04f854c62f50c22ab426ebc6826fc62dd3e0892e96d8321e3cf3c526e0e84b

Observation a64e025f-bf1c-4a4b-a72a-9cf9c832f8fd · outbound

This paper cites Barlow, Y.

Collisions of random walks on comb graphs with a planar base Barlow, Y

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T15:35:48.150537Z

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.

source=pdf_text observed=2026-08-05T15:35:47.865394Z digest=sha256:fec30dd1325732ee4edb8afe7aff273a46a86c9569343fa76899704c275a84b9

Observation cc1f50fb-d7ec-4767-be50-81ceb502a664 · outbound

This paper cites Boivin and C.

Collisions of random walks on comb graphs with a planar base Boivin and C

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T15:35:48.140616Z

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.

source=pdf_text observed=2026-08-05T15:35:47.869272Z digest=sha256:dd15cbba7a2cc904a888f06a48c5e15729bc01c88b2736e6298b99c5d228117b

Observation d197afab-18c4-4abe-8f55-954fb6ed3e6b · outbound

This paper cites an unresolved cited work.

Collisions of random walks on comb graphs with a planar base Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-08-05T15:35:48.130525Z

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.

source=pdf_text observed=2026-08-05T15:35:47.873242Z digest=sha256:c357a059490bdd9e371a143181a9ff98966cc8e2efb824477c7793ce6794033e

Observation aabf98e4-ecc1-4a4b-a772-9fb10d302970 · outbound

This paper cites Chen and D.

Collisions of random walks on comb graphs with a planar base Chen and D

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T15:35:48.120468Z

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.

source=pdf_text observed=2026-08-05T15:35:47.876615Z digest=sha256:2ead2452ba2712f2be1901cb876a75ce5b4ced63999a4fd05226fa95c0fd2b97

Observation 0961eb53-c948-41de-ba4e-1de95e47298f · outbound

This paper cites Chen and D.

Collisions of random walks on comb graphs with a planar base Chen and D

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T15:35:48.110530Z

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.

source=pdf_text observed=2026-08-05T15:35:47.880847Z digest=sha256:e7d531c56cbda623f1463d97d04b1a8d2acceb35c11d363653260157baca7579

Observation 0a86d95d-f619-4330-ab75-72148ae6d6d4 · outbound

This paper cites Croydon and Umberto De Ambroggio.

Collisions of random walks on comb graphs with a planar base Croydon and Umberto De Ambroggio

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T15:35:48.099299Z

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.

source=pdf_text observed=2026-08-05T15:35:47.884285Z digest=sha256:b7641d5c0a28ece38904fbc694ba673975621bda03a257888fe9508b90d5fdfd

Observation 53bfeae7-1472-455e-bd0a-77454b8b6596 · outbound

This paper cites Dembo, Y.

Collisions of random walks on comb graphs with a planar base Dembo, Y

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T15:35:48.089759Z

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.

source=pdf_text observed=2026-08-05T15:35:47.887543Z digest=sha256:007e51b20132960a3cc2b55aa293e34df2efa0f924751f90b2d4a853bcf37b75

Observation 1e861237-45ac-4c2a-9a4f-d60cf9663392 · outbound

This paper cites Devulder.

Collisions of random walks on comb graphs with a planar base Devulder

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T15:35:48.079773Z

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.

source=pdf_text observed=2026-08-05T15:35:47.891486Z digest=sha256:41f19487063584d0ec393c5552175869da5017058f05f2fe85cb7808ca5b6064

Observation 0554d482-391a-4d16-b884-2fd9c32432fc · outbound

This paper cites Devulder, N.

Collisions of random walks on comb graphs with a planar base Devulder, N

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T15:35:48.069676Z

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.

source=pdf_text observed=2026-08-05T15:35:47.894833Z digest=sha256:aa3aba1f3a4c1e26f1bf45afc33ade380474bcc4de65c15d3136889eef399d27

Observation c51c118c-6956-4220-ab73-00ef0e72efab · outbound

This paper cites Devulder, N.

Collisions of random walks on comb graphs with a planar base Devulder, N

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T15:35:48.059061Z

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.

source=pdf_text observed=2026-08-05T15:35:47.898238Z digest=sha256:0d6cc35b1714b45121ea1226cd8e88e58d96f5d8c9eec33912633fbcc7335192

Observation cbd406fe-7068-4a6c-9e71-55ffe1d1f61f · outbound

This paper cites Erdős and S.

Collisions of random walks on comb graphs with a planar base Erdős and S

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T15:35:48.048257Z

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.

source=pdf_text observed=2026-08-05T15:35:47.901509Z digest=sha256:ec0188fce8afe672755b5ac28b233ef9b39b43d2d9e7a6d2c7c19af4ad7c2dc4

Observation 3e7495b5-bb52-4d4a-b97d-e0be6df847d2 · outbound

This paper cites Grimmett.Percolation.

Collisions of random walks on comb graphs with a planar base Grimmett.Percolation

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T15:35:48.037756Z

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.

source=pdf_text observed=2026-08-05T15:35:47.905655Z digest=sha256:d1dfcbc346d7f917f92ff94325d193ae2d5be53f971e7763196ea8c1186fe129

Observation 68ca7adb-b573-4bcf-ac00-a14bb4a1de33 · outbound

This paper cites Halberstam and T.

Collisions of random walks on comb graphs with a planar base Halberstam and T

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T15:35:48.026967Z

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.

source=pdf_text observed=2026-08-05T15:35:47.908889Z digest=sha256:929309dc1a025b38b317c10a3e18342855bd03713067f35058043c54373d636e

Observation fa9233eb-fd28-40b3-a21a-df90bbe3574a · outbound

This paper cites Hutchcroft and Y.

Collisions of random walks on comb graphs with a planar base Hutchcroft and Y

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T15:35:48.015760Z

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.

source=pdf_text observed=2026-08-05T15:35:47.912426Z digest=sha256:897df962fa25615805cace3ab46dd17cb287048023775d08e5b4a3cb9f46834e

Observation db93a69d-49c0-4f27-8a04-5c98b6fabb97 · outbound

This paper cites Krishnapur and Y.

Collisions of random walks on comb graphs with a planar base Krishnapur and Y

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T15:35:48.004365Z

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.

source=pdf_text observed=2026-08-05T15:35:47.915858Z digest=sha256:0f5716e09d3ac9ce15954f11dc3985beb030138ec72d4e21e79b069f3491259e

Observation 19789a72-473f-4247-a377-dc158d78301f · outbound

This paper cites Coupling from the past.

Collisions of random walks on comb graphs with a planar base Coupling from the past

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T15:35:47.993522Z

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.

source=pdf_text observed=2026-08-05T15:35:47.919242Z digest=sha256:1832249cc5274fe70b36bb40bd95da36b34fa57798cb6bb0a7eea179a60fc023

Observation ee1c897a-6ed2-44dc-acd4-34b9eac5227b · outbound

This paper cites Lyons and Y.

Collisions of random walks on comb graphs with a planar base Lyons and Y

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T15:35:47.982791Z

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.

source=pdf_text observed=2026-08-05T15:35:47.922514Z digest=sha256:c118a27e9273ea44bbaab1a08f6cd17eeefd680daaa92eccc28337379d860739

Observation 8f267655-b18e-4911-af3b-b93b82cebfd5 · outbound

This paper cites Sapozhnikov.

Collisions of random walks on comb graphs with a planar base Sapozhnikov

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T15:35:47.972261Z

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.

source=pdf_text observed=2026-08-05T15:35:47.927251Z digest=sha256:f7c2d0abff44fd7c707fb0902331bd0cb28e0895adf1fde0ffd4c59e38fa3892

Observation e62d0543-fa70-4088-b4d2-d1d6c227047f · outbound

This paper cites Watanabe.

Collisions of random walks on comb graphs with a planar base Watanabe

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T15:35:47.961063Z

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.

source=pdf_text observed=2026-08-05T15:35:47.930701Z digest=sha256:3946ad953e925a2da7e32dc77cbd0ec2fbe207bea3062a360122abe15b41911c

Pith citing papers

Observation 6d2262e5-3990-4254-8b15-d77738e302a9 · inbound

Infinite collisions of simple random walks on random recursive trees generated by Bernoulli sequences cites this paper.

Infinite collisions of simple random walks on random recursive trees generated by Bernoulli sequences Collisions of random walks on comb graphs with a planar base

Reference 10

Resolution
unresolved
no resolver link, observed 2026-07-12T06:08:15.459958Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-12T06:08:15.459958Z digest=sha256:361c34296e2d621f90717f579926f2a5662286664ed4867c2cb4d534485033be

Observation e82f375d-5d12-4144-ae0f-e9760b2e90fd · inbound

Collisions of random walks in unimodular random graphs: applications to the random geometric graph and long-range percolation cites this paper.

Collisions of random walks in unimodular random graphs: applications to the random geometric graph and long-range percolation Collisions of random walks on comb graphs with a planar base

Reference 3

Resolution
unresolved
no resolver link, observed 2026-07-11T22:23:21.358379Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-11T22:23:21.358379Z digest=sha256:0ee33e327a18ee903b182a95243cfb28a1f1a98de3deafdeae1fe54b40608145