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Paper Citation Record · LEDGER

Meeting and coalescence times for random walks in the largest component of the Erd\H{o}s-R\'enyi random graph

As of 22 August 2026, this Paper Citation Record lists 25 of 25 outbound references and 0 inbound Pith citation observations for arXiv:2607.13183.

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

pith.paper-citation-record.v1
2607.13183 v1

Coverage vector

measured 25 of 25 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-02T06:07:17.345939Z

measured 25 of 25 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-22T06:32:14.747728+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

25 of 25 outbound references displayed

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  • verified fuzzy0
  • unresolved23
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 7e2387ad-8352-46fc-b84f-41b0d00649db · outbound

This paper cites Aldous,Meeting times for independent Markov chains, Stochastic Processes and their Applications38(1991), no.

Meeting and coalescence times for random walks in the largest component of the Erd\H{o}s-R\'enyi random graph Aldous,Meeting times for independent Markov chains, Stochastic Processes and their Applications38(1991), no

Reference 1

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source=pdf_text observed=2026-08-02T06:07:14.821902Z digest=sha256:2ba3336d6d09c7a7c03be1816160d3fc62378c3ec7a185061394b3d2ea9345ed

Observation b8752616-5049-4695-9618-e66b9b91920b · outbound

This paper cites Aldous and J.

Meeting and coalescence times for random walks in the largest component of the Erd\H{o}s-R\'enyi random graph Aldous and J

Reference 2

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source=pdf_text observed=2026-08-02T06:07:14.886156Z digest=sha256:35cc4dc6e4afea287a1acc243f8748c3830aa291c41639b262d44d579933c539

Observation c45b14e5-9b9d-4510-bd18-2edab9911e0c · outbound

This paper cites Meeting, coalescence and consensus time on random directed graphs.

Meeting and coalescence times for random walks in the largest component of the Erd\H{o}s-R\'enyi random graph Meeting, coalescence and consensus time on random directed graphs

Reference 3

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source=pdf_text observed=2026-08-02T06:07:14.945056Z digest=sha256:9d0c579fe1be69b3b2e9d9927f960c4e5f8a3dd4eca19e99f35092a8088214b7

Observation ebcbf3c0-c450-4777-8339-9559fa82fa8c · outbound

This paper cites The evolution of the cover time.

Meeting and coalescence times for random walks in the largest component of the Erd\H{o}s-R\'enyi random graph The evolution of the cover time

Reference 4

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source=pdf_text observed=2026-08-02T06:07:15.009082Z digest=sha256:9f795a966c6a4a4e990527bb1511a6c17047acabecf87e25471b2de9c840dac4

Observation 3b240921-c864-43ac-89d3-ac64bdfdfa67 · outbound

This paper cites The mixing time of the giant component of a random graph.

Meeting and coalescence times for random walks in the largest component of the Erd\H{o}s-R\'enyi random graph The mixing time of the giant component of a random graph

Reference 5

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source=pdf_text observed=2026-08-02T06:07:15.069235Z digest=sha256:884bc6598e979e3021cb21c7a2fd73bf7ad508236656bbae6e6e1807acd6eb22

Observation 89a18d44-8e1e-40d0-9b86-4428b26ec4f5 · outbound

This paper cites Graph Sparsification by Effective Resistances.

Meeting and coalescence times for random walks in the largest component of the Erd\H{o}s-R\'enyi random graph Graph Sparsification by Effective Resistances

Reference 6

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source=pdf_text observed=2026-08-02T06:07:15.138450Z digest=sha256:4ece53ac913493a421793756c263adffc82c84695619e834c0674c56863317f9

Observation 43fda95e-ccf6-480b-9296-93d2d8e266a8 · outbound

This paper cites Cooper, A.

Meeting and coalescence times for random walks in the largest component of the Erd\H{o}s-R\'enyi random graph Cooper, A

Reference 7

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source=pdf_text observed=2026-08-02T06:07:15.305977Z digest=sha256:89b72d767e2971dbd25d9b5b6581be851f80dcf1c17410025009258dbdae0061

Observation 8bbaf906-8beb-47b3-9d9a-c96320b57648 · outbound

This paper cites an unresolved cited work.

Meeting and coalescence times for random walks in the largest component of the Erd\H{o}s-R\'enyi random graph Unresolved cited work

Reference 8

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source=pdf_text observed=2026-08-02T06:07:15.424360Z digest=sha256:aec4c23964aa582b79b32923a6f4091b77ebe77f5f3a63b13c7a1b827dacb85c

Observation 2e85b65a-8f3e-474d-9512-3e49d76bd8ad · outbound

This paper cites Anatomy of a young giant component in the random graph.

Meeting and coalescence times for random walks in the largest component of the Erd\H{o}s-R\'enyi random graph Anatomy of a young giant component in the random graph

Reference 9

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source=pdf_text observed=2026-08-02T06:07:15.546711Z digest=sha256:ceeecaf094eb4140a84e65dc5bc01a553c1a409c737b3ba4d320b2a201976a1a

Observation fdea00fe-22a1-4c82-8c54-68b7dbd636c7 · outbound

This paper cites Diameters in supercritical random graphs via first passage percolation.

Meeting and coalescence times for random walks in the largest component of the Erd\H{o}s-R\'enyi random graph Diameters in supercritical random graphs via first passage percolation

Reference 10

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source=pdf_text observed=2026-08-02T06:07:15.681214Z digest=sha256:a2fa8e14851356dc8135dd7a282d8343afe33e2b94c52c65e17e4717b224e4a9

Observation 406a6180-b3df-4c65-b5cc-2fde7579fca5 · outbound

This paper cites Cover times, blanket times, and majorizing measures.

Meeting and coalescence times for random walks in the largest component of the Erd\H{o}s-R\'enyi random graph Cover times, blanket times, and majorizing measures

Reference 11

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source=pdf_text observed=2026-08-02T06:07:15.810022Z digest=sha256:4baa3c27ee06531e49586da6808073e79ac11137ed9be0f736f8238b59696cc6

Observation 58ec6652-d609-497c-83cd-6b719a066e02 · outbound

This paper cites Mixing time of near-critical random graphs.

Meeting and coalescence times for random walks in the largest component of the Erd\H{o}s-R\'enyi random graph Mixing time of near-critical random graphs

Reference 12

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source=pdf_text observed=2026-08-02T06:07:15.960683Z digest=sha256:1e80f786cddf8b5cb5f1648abacf394a3c44243df6ef884551b20b7ff0a99a45

Observation 2f9da2e4-2fd2-47b2-8b70-af6fe0641e58 · outbound

This paper cites Anatomy of the giant component: The strictly supercritical regime.

Meeting and coalescence times for random walks in the largest component of the Erd\H{o}s-R\'enyi random graph Anatomy of the giant component: The strictly supercritical regime

Reference 13

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source=pdf_text observed=2026-08-02T06:07:16.125455Z digest=sha256:c777be9f90f47b43fbe096271b3648d4d302dc6c81da35149f45d62b6eb32823

Observation 42d5c2b3-0b5c-4892-b6eb-bd53159fa0bf · outbound

This paper cites van der Hofstad,Random Graphs and Complex Networks.

Meeting and coalescence times for random walks in the largest component of the Erd\H{o}s-R\'enyi random graph van der Hofstad,Random Graphs and Complex Networks

Reference 14

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source=pdf_text observed=2026-08-02T06:07:16.254002Z digest=sha256:2d72d8b902b293f4142b5c8eac0caf80a26aa6dd19b39bb97a7f57256737c5ae

Observation 0c6d5cca-d329-4c7b-b014-523e8a691c04 · outbound

This paper cites an unresolved cited work.

Meeting and coalescence times for random walks in the largest component of the Erd\H{o}s-R\'enyi random graph Unresolved cited work

Reference 15

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source=pdf_text observed=2026-08-02T06:07:16.382730Z digest=sha256:dabd3c1b4564e8a3a46af1f9d25d982d9a8f987ae57a7493c905e460a16c03b6

Observation db668e93-a91f-4bc9-975e-d6a32c867508 · outbound

This paper cites On coalescence time in graphs--When is coalescing as fast as meeting?.

Meeting and coalescence times for random walks in the largest component of the Erd\H{o}s-R\'enyi random graph On coalescence time in graphs--When is coalescing as fast as meeting?

Reference 16

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source=pdf_text observed=2026-08-02T06:07:16.547043Z digest=sha256:975dde83236a8ff233559b2f87af7772eef7f6204a97f052cdb9962ef9c1a97b

Observation 485f0e52-057f-44e0-b95f-def4b23ff854 · outbound

This paper cites an unresolved cited work.

Meeting and coalescence times for random walks in the largest component of the Erd\H{o}s-R\'enyi random graph Unresolved cited work

Reference 17

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source=pdf_text observed=2026-08-02T06:07:16.682997Z digest=sha256:536c895b6170a4d8a7d98b9dc0b7ebedb5703958620f61a48f72dcc3eb7c5aac

Observation 5edc590b-142f-4f87-8ce1-733131209e56 · outbound

This paper cites an unresolved cited work.

Meeting and coalescence times for random walks in the largest component of the Erd\H{o}s-R\'enyi random graph Unresolved cited work

Reference 18

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source=pdf_text observed=2026-08-02T06:07:16.797351Z digest=sha256:61a6bd8c1148a5397c6ca42983e0c38baadf6a737e03077e61f97e44cfd0244b

Observation 7bc55835-03f0-4a8f-b40b-281aa922c80b · outbound

This paper cites Lyons and Y.

Meeting and coalescence times for random walks in the largest component of the Erd\H{o}s-R\'enyi random graph Lyons and Y

Reference 19

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source=pdf_text observed=2026-08-02T06:07:16.854210Z digest=sha256:60d03bc1148be57a023d776c867bbcc68c703c946c761f23030f0120356bb5ba

Observation f973cd84-18e1-41b2-a3ad-7ca81b6a5f42 · outbound

This paper cites Critical random graphs: Diameter and mixing time.

Meeting and coalescence times for random walks in the largest component of the Erd\H{o}s-R\'enyi random graph Critical random graphs: Diameter and mixing time

Reference 20

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source=pdf_text observed=2026-08-02T06:07:16.944776Z digest=sha256:5347d2cf842f0abdd1beac819eaabe8369960636a4009d4b3341985ab8b49555

Observation 3c11cb28-4f5c-4386-84b8-50b5b7735cda · outbound

This paper cites an unresolved cited work.

Meeting and coalescence times for random walks in the largest component of the Erd\H{o}s-R\'enyi random graph Unresolved cited work

Reference 21

Resolution
verified exact
doi, observed 2026-08-02T06:09:18.767967Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-02T06:07:17.031772Z digest=sha256:61996b43c07d2873f4fef55b30cba927c107b3df008f42f117a5fa635501a9d6

Observation d0524c3a-fdaf-4aac-9a00-a468a5fe222f · outbound

This paper cites On the coalescence time of reversible random walks.

Meeting and coalescence times for random walks in the largest component of the Erd\H{o}s-R\'enyi random graph On the coalescence time of reversible random walks

Reference 22

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source=pdf_text observed=2026-08-02T06:07:17.111294Z digest=sha256:64322ed3db0772546ba694c68c8f2eefe77dc7984d2048f9cd73087538de85c1

Observation 494e987a-7a8c-426e-a755-e5ef23102d25 · outbound

This paper cites Mean field conditions for coalescing random walks.

Meeting and coalescence times for random walks in the largest component of the Erd\H{o}s-R\'enyi random graph Mean field conditions for coalescing random walks

Reference 23

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source=pdf_text observed=2026-08-02T06:07:17.204751Z digest=sha256:d3ad3ed297a33025f9cb2da5b6bb8adc024889024762764afe92a88ec3312d3a

Observation 2401f9ca-0d4e-4932-8d2b-7a5d3698cc39 · outbound

This paper cites Penrose,A generalized inverse for matrices, Proceedings of the Cambridge Philosophical Society51(1955), 406–413.doi:10.1017/S0305004100030401.

Meeting and coalescence times for random walks in the largest component of the Erd\H{o}s-R\'enyi random graph Penrose,A generalized inverse for matrices, Proceedings of the Cambridge Philosophical Society51(1955), 406–413.doi:10.1017/S0305004100030401

Reference 24

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source=pdf_text observed=2026-08-02T06:07:17.259718Z digest=sha256:ebfa5d0ac2f495215a72ebe535a65addf8dd53adf112b5c3ea20b821e5dad7c7

Observation 3f6d5540-23c5-4401-a530-a0cd353be049 · outbound

This paper cites an unresolved cited work.

Meeting and coalescence times for random walks in the largest component of the Erd\H{o}s-R\'enyi random graph Unresolved cited work

Reference 25

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verified exact
doi, observed 2026-08-02T06:09:18.434558Z

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No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-02T06:07:17.345939Z digest=sha256:9311da2d606b77f597abb1058da42c1768c1690c6f0ecba36ec8be173b9aa391

Pith citing papers

No inbound Pith citation observations are available.