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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 7 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 2026-08-07T06:34:17.273281+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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  • malformed identifier0
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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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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T06:07:14.821902Z digest=sha256:ee0e6bcf00853b8a16b27b580b3df49e741691b0364c2c34a1d3331065db9fcb

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=sha256:5664004415eae644509278572677da1615fb4361b8e5a7e1cd881f6a02719c3d

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:d76e00ec3f10694644d84827fcbd4f904af19ece4332592fc71eb459f0e00b38

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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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T06:07:15.009082Z digest=sha256:0558bd8317b59f1c22eb03f218be59ee6a6474a0c442fff10546189e9b4e1f11

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=sha256:57358d5d699ca320752551140bb0b53070e7721e69aed5f480fdb4b4f79549ec

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:e861c393e7f036fa0a62d75fd7f74aaefd60700eea0540033a09619c9fcff2e7

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:c6d998ddcd1ed344033d9d69dc812c1e43026b1c1636890f993f003b68a29606

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:de4c8002978087230fd1530063d201bd3371913700325033b8aa18a53164002e

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=sha256:86bd7183d41500d9fb4432bd86f798f9ed7a4c1f2e85db4940eb494f4a7615fa

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:e747e62c907073320b3bb32d05f43a4a22ffdd3310b89950c65500bd7f338e98

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=sha256:48ed865bc8d5bec0af45f52f44e3ff5ed929979560ea4921a81762eb783bc1d7

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:f86b0bc1f812b1768a73896e088c5ebdce606bb98937c25f76772fd25d354599

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=sha256:3efd2fe45c3705c94633678cfeea2b60c89d29a58de7181c11463e4b155b1a1f

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=sha256:38b641b53761698071926930caae3cd07d50d96c58d0edf2adf7fd7f8f03b5ab

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:f20f76272aa780bbdbd4fcae8026f6d3d3e743a8ffaa894184e55a7e6bec4a06

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=sha256:2acb09b8547d82cfd268bf5e173d92f905a150ac66fda11f05192e21c3a98786

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:f10647afcaff8b7f8509f0799754e0b5b90417dac7b1e27bc22e4626b851cd17

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=sha256:275f6969ab770c4dc5f30f75ae264e763da39ed17de12f35fe453a9fbbfb7d9c

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=sha256:455c0a55683832de81d511168407a38f2c0b59adfa1420cd5155cebe49d861e4

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:b60886cbd44524de3573f132ca6633472bfff292df03dd900574e6afdd1898c5

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

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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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-02T06:07:17.031772Z digest=sha256:28bebe158995e952d89760d1e8c68ed030894a1c98e12b56afd5f7e7e0cbaf54

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:f65a12084ecea8872175b401f2a24bd0fcbbe1de74af829af99e1aab9fcc9246

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=sha256:7110e2b19616fe40003722036f49ca8cb4e5526fbadb7d9eebdb0a15905b0656

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=sha256:31cf6d39880d91104a48b7dc5da085fa5fa5f7d8aba27899e334c6a8d1f0fabb

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-02T06:07:17.345939Z digest=sha256:8d4e98f55ead82455cf8753512e7625493c0351f62ef74f82bf70db32a0a5c4c

Pith citing papers

No inbound Pith citation observations are available.