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Paper Citation Record · LEDGER

Collisions of random walks on comb graphs with a planar base

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

source=pdf_text observed=2026-08-05T15:35:47.848313Z digest=sha256:97abb89944b6a20dc9632f048507776c477f3968f69da0d2562888f4af4172e0

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

source=pdf_text observed=2026-08-05T15:35:47.852868Z digest=sha256:0bff51bc085f4476be89152bfd02d98f9fdfb79bb6db5de81c401bdfa699121c

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

source=pdf_text observed=2026-08-05T15:35:47.857661Z digest=sha256:bba975f30abcb4a1d2b28a9a7708706d370617f040bee31a8c9d8a4ab7ff8a45

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

source=pdf_text observed=2026-08-05T15:35:47.861399Z digest=sha256:d2a3b3b4f14dc75b66df0696a05128a72387c295ba92341d5baf4680062828b8

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

source=pdf_text observed=2026-08-05T15:35:47.865394Z digest=sha256:883898e20486687961abf556de7732c2ad455788ad971e0b6803765c2b9ff261

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

source=pdf_text observed=2026-08-05T15:35:47.869272Z digest=sha256:fa9524ce4f314fe8830c27757d53b9dbe20823ff965ae3b60c9959d975e3ea5a

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

source=pdf_text observed=2026-08-05T15:35:47.873242Z digest=sha256:803746a21ab20e269045b10eed4754ca889eff4ba331724e9f3fc263f2c96341

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

source=pdf_text observed=2026-08-05T15:35:47.876615Z digest=sha256:ca2d722ee0b422af3669273310bc47d00f53ccc531c28085bcc1abf20bc861bf

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

source=pdf_text observed=2026-08-05T15:35:47.880847Z digest=sha256:e8715eeaa8808827bce2e9c41507dc68d8eb80fa637a897a63c101327233a02d

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

source=pdf_text observed=2026-08-05T15:35:47.884285Z digest=sha256:cdf8d7f7822ecb759089f743b908cba1719e49b3a4e8c14d149cf3a4d39298ef

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

source=pdf_text observed=2026-08-05T15:35:47.887543Z digest=sha256:5cae86502d34c63cde094882ea35323836517ede43e07f905be450d61e4a7266

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

source=pdf_text observed=2026-08-05T15:35:47.891486Z digest=sha256:92d25aa4756e3b33db83c295c9a2c537892f574d77197f56580437afe335fc20

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

source=pdf_text observed=2026-08-05T15:35:47.894833Z digest=sha256:e450ae9bcbfe59e503015bc939784a155957569fa0f8c273f57ca82e82dc6c1c

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

source=pdf_text observed=2026-08-05T15:35:47.898238Z digest=sha256:ce74d7ccab573d94755f71dffd5b594f39fe95a4659d1e5af1dcdca9f81bb9da

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

source=pdf_text observed=2026-08-05T15:35:47.901509Z digest=sha256:9ea498cff5829c806b180c644aa854c882925f215ba5c8aaacedbeafa5f8b57b

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

source=pdf_text observed=2026-08-05T15:35:47.905655Z digest=sha256:1c5fca73b571ae74e758b43d83a127676798afc4c5ce8da36a28539985cbf12c

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

source=pdf_text observed=2026-08-05T15:35:47.908889Z digest=sha256:1ceeb5f0020283417be71fbc9de1f05531016ba0fbb697220fcb17680e411ceb

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

source=pdf_text observed=2026-08-05T15:35:47.912426Z digest=sha256:2b33bef7675ef96028ce13acfa075d59ec08d7a11c9b13be54843018e5062fb2

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

source=pdf_text observed=2026-08-05T15:35:47.915858Z digest=sha256:99a27f5b5b3b3883cf661455836de6e8997255665b41fba03afee0044b04d02a

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

source=pdf_text observed=2026-08-05T15:35:47.919242Z digest=sha256:13778e94d8a53745f0ea31f45e4504815c6a218808bb661f10f8f880ea317e95

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

source=pdf_text observed=2026-08-05T15:35:47.922514Z digest=sha256:84002fe159f6d67535d52ddabd42b58b762e0f8cfe0f66338e14d505da30caea

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

source=pdf_text observed=2026-08-05T15:35:47.927251Z digest=sha256:db369ec39bf16e7e4fc7b73dc146c3f035853e04ec7a6798e2040f538b81bccf

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

source=pdf_text observed=2026-08-05T15:35:47.930701Z digest=sha256:ea0705cbdeff5c8ebc69babf7a77c3edc1524811b163ad9702196052169ed0a5

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:a2b2a06fbbc9711157d9c474bf33304d15d2d14e5beb219e401afc486aab9036

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=sha256:1a002d8f1d2c23a501839f3c7deadeb1622fade634f4f212023175b0c319f330