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Paper Citation Record · LEDGER

Majority Dynamics on Resampled Sparse Erd\H{o}s--R\'enyi Graphs: Gaussian Winner Selection and Pace to Unanimity

As of 8 August 2026, this Paper Citation Record lists 25 of 25 outbound references and 0 inbound Pith citation observations for arXiv:2608.06159.

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

pith.paper-citation-record.v1
2608.06159 v1

Coverage vector

measured 25 of 25 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T13:56:44.974198Z

measured 25 of 25 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+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

  • verified exact7
  • verified fuzzy12
  • unresolved4
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch2

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 15e925e6-a8fd-4bad-b22f-ed4bdcaffd8e · outbound

This paper cites Fast and Exact Majority in Popula- tion Protocols.

Majority Dynamics on Resampled Sparse Erd\H{o}s--R\'enyi Graphs: Gaussian Winner Selection and Pace to Unanimity Fast and Exact Majority in Popula- tion Protocols

Reference 1

Resolution
metadata mismatch
raw_fallback, observed 2026-08-07T13:56:46.627081Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:56:42.840333Z digest=sha256:6b4d7e5f1cd08f4cbfd7e3d4517fbe02ae68d7bb91c185acbed6b4635bdf807e

Observation a7162dbb-5e85-47cb-976f-8e8be8b867dd · outbound

This paper cites Conver- gence, unanimity and disagreement in majority dynamics on unimodular graphs and random graphs.

Majority Dynamics on Resampled Sparse Erd\H{o}s--R\'enyi Graphs: Gaussian Winner Selection and Pace to Unanimity Conver- gence, unanimity and disagreement in majority dynamics on unimodular graphs and random graphs

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:56:48.238901Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:56:42.914394Z digest=sha256:77ae0d1bcbd08333010fa4774b8a041f04de6674641e3cab3b114294e9e49832

Observation 8c706218-d0e8-4490-8dfb-fc2a69bcdc9f · outbound

This paper cites Central Limit Theorem for Majority Dynamics: Bribing Three Voters Suffices.

Majority Dynamics on Resampled Sparse Erd\H{o}s--R\'enyi Graphs: Gaussian Winner Selection and Pace to Unanimity Central Limit Theorem for Majority Dynamics: Bribing Three Voters Suffices

Reference 3

Resolution
verified exact
local_arxiv, observed 2026-08-07T13:56:46.327288Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:56:42.996970Z digest=sha256:4a713be9dbef9f9d4bc23a517087f4fd0c9d69dcc8fa51182a974f3a760b4de7

Observation 466123cf-e863-4b39-bafb-f39b30a4c4a5 · outbound

This paper cites Phase transitions for detecting la- tent geometry in random graphs.

Majority Dynamics on Resampled Sparse Erd\H{o}s--R\'enyi Graphs: Gaussian Winner Selection and Pace to Unanimity Phase transitions for detecting la- tent geometry in random graphs

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:56:48.081540Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:56:43.062179Z digest=sha256:5954d006be6e39bf7e3f0c449300b7689d4039c6c4a5096bb9ebcdbd148e4d6b

Observation ae28b9e2-5881-452b-888b-13922b4dce31 · outbound

This paper cites Testing for high-dimensional geometry in random graphs.

Majority Dynamics on Resampled Sparse Erd\H{o}s--R\'enyi Graphs: Gaussian Winner Selection and Pace to Unanimity Testing for high-dimensional geometry in random graphs

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:56:47.943404Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:56:43.124121Z digest=sha256:a15e89e5417c0a99fe3cda7e96f6e1305901ed6fc74bf8f668fa29496034a252

Observation a63bbd50-91ef-4d57-a71a-da7567715a1a · outbound

This paper cites Spectra of high-dimensional sparse random geometric graphs.

Majority Dynamics on Resampled Sparse Erd\H{o}s--R\'enyi Graphs: Gaussian Winner Selection and Pace to Unanimity Spectra of high-dimensional sparse random geometric graphs

Reference 6

Resolution
unresolved
no resolver link, observed 2026-08-07T13:56:43.228379Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T13:56:43.228379Z digest=sha256:d577989dc147e8b00713d0328eb482df7da5679273bcb26301ff501184b17f6d

Observation 95e7f48c-a646-4d22-9753-e0e73416bba7 · outbound

This paper cites Majority dynam- ics on sparse random graphs.

Majority Dynamics on Resampled Sparse Erd\H{o}s--R\'enyi Graphs: Gaussian Winner Selection and Pace to Unanimity Majority dynam- ics on sparse random graphs

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:56:47.807702Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:56:43.352106Z digest=sha256:2a2561cab06c9d6e311617017742ab725d13d9a80ea934efab35e84dddd441cb

Observation 329ffd90-6449-48e0-b6a4-4f60a2ba02fb · outbound

This paper cites Spectral Distribution of Adjacency and Laplace Matrices of Random Graphs.

Majority Dynamics on Resampled Sparse Erd\H{o}s--R\'enyi Graphs: Gaussian Winner Selection and Pace to Unanimity Spectral Distribution of Adjacency and Laplace Matrices of Random Graphs

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:56:47.680490Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:56:43.426250Z digest=sha256:a585ea2faaf6b4d820ae35f86a75eb1812351a98a9971aada63298c8aa084d1c

Observation 57328eb1-f8b7-4ba7-8303-d8499471aaa7 · outbound

This paper cites Majority Dynamics on Assortative Sparse Stochastic Block Models.

Majority Dynamics on Resampled Sparse Erd\H{o}s--R\'enyi Graphs: Gaussian Winner Selection and Pace to Unanimity Majority Dynamics on Assortative Sparse Stochastic Block Models

Reference 9

Resolution
verified exact
local_arxiv, observed 2026-08-07T13:56:46.201949Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:56:43.515054Z digest=sha256:d93f28f6cd39d95a8e9b19e4c532869c60141236dbea39edede3061ef843cb03

Observation f53dc10e-4b6c-45b1-b626-b9d59ff3dd12 · outbound

This paper cites A moment inequality with an application to the central limit theorem.

Majority Dynamics on Resampled Sparse Erd\H{o}s--R\'enyi Graphs: Gaussian Winner Selection and Pace to Unanimity A moment inequality with an application to the central limit theorem

Reference 10

Resolution
metadata mismatch
raw_fallback, observed 2026-08-07T13:56:46.019106Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:56:43.613398Z digest=sha256:dd72a691a3df32fe7d695574dafb4f430bbf6e814c7ada94a962a08f33b0bb25

Observation fe5e7043-3fff-460b-8da1-d2e9231222be · outbound

This paper cites Resolution of a conjecture on majority dynamics: Rapid stabilization in dense random graphs.

Majority Dynamics on Resampled Sparse Erd\H{o}s--R\'enyi Graphs: Gaussian Winner Selection and Pace to Unanimity Resolution of a conjecture on majority dynamics: Rapid stabilization in dense random graphs

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:56:47.546891Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:56:43.716827Z digest=sha256:df9e981b6d637d064805c05817cba4ea77afac3477e726d607a44466bb79122e

Observation f4b7d76d-6289-4175-be23-ee09c208cbe8 · outbound

This paper cites A Tail Bound for Read-kFamilies of Functions.

Majority Dynamics on Resampled Sparse Erd\H{o}s--R\'enyi Graphs: Gaussian Winner Selection and Pace to Unanimity A Tail Bound for Read-kFamilies of Functions

Reference 12

Resolution
unresolved
no resolver link, observed 2026-08-07T13:56:43.801795Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T13:56:43.801795Z digest=sha256:4aafdabe5d2b16bf598a5ff66440d88dc621a3bc303c1731b8a58ac95d0b4890

Observation 5220abac-58df-4900-9086-aa35b1c3f268 · outbound

This paper cites A new bound in Majority Dynamics on Random Graphs.

Majority Dynamics on Resampled Sparse Erd\H{o}s--R\'enyi Graphs: Gaussian Winner Selection and Pace to Unanimity A new bound in Majority Dynamics on Random Graphs

Reference 13

Resolution
verified exact
local_arxiv, observed 2026-08-07T13:56:45.779987Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:56:43.893809Z digest=sha256:d0c24806e0ceb56179cbe092dd3ade5f2c88339b1bf4b337ef50a5a14ebae60d

Observation 2297ec1f-1f83-4db3-8616-c7eb60bfaf5d · outbound

This paper cites A new density limit for unanimity in majority dynamics on random graphs.

Majority Dynamics on Resampled Sparse Erd\H{o}s--R\'enyi Graphs: Gaussian Winner Selection and Pace to Unanimity A new density limit for unanimity in majority dynamics on random graphs

Reference 14

Resolution
verified exact
local_arxiv, observed 2026-08-07T13:56:45.653435Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:56:44.021711Z digest=sha256:4da1fd38c128e5fc5aa3c6061f07649ac37390a051f9a98210bcc5c3d60774aa

Observation 11dc75c7-3e26-4f22-a9f4-38d855a42a18 · outbound

This paper cites An approximation theorem for the Poisson binomial distribution.

Majority Dynamics on Resampled Sparse Erd\H{o}s--R\'enyi Graphs: Gaussian Winner Selection and Pace to Unanimity An approximation theorem for the Poisson binomial distribution

Reference 15

Resolution
verified exact
doi, observed 2026-08-07T13:56:45.176319Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:56:44.125988Z digest=sha256:acd134bf779c06bbf7488bbe6e9a0854d4f2437287cdeee9dbed33505c4a1d10

Observation f8bd6fc7-d07b-4a25-b489-af76efb4b852 · outbound

This paper cites Testing thresholds for high-dimensional sparse random geometric graphs.

Majority Dynamics on Resampled Sparse Erd\H{o}s--R\'enyi Graphs: Gaussian Winner Selection and Pace to Unanimity Testing thresholds for high-dimensional sparse random geometric graphs

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:56:47.436838Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:56:44.205850Z digest=sha256:b1ce41a2ba8cd8c1d934ba1c50bf0e7da48161b5b963db1a3ed86620589059c6

Observation 925dfc84-5f6e-4435-a26f-c10591dc3c38 · outbound

This paper cites Opinion exchange dynamics.

Majority Dynamics on Resampled Sparse Erd\H{o}s--R\'enyi Graphs: Gaussian Winner Selection and Pace to Unanimity Opinion exchange dynamics

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:56:47.287677Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:56:44.295139Z digest=sha256:65b166ac8a180beb0e94f2f82acb92cda0cb7208b099cdf9bea32bebc354f0ce

Observation 62ff2b4b-2f48-4d42-a97d-8da938eb8655 · outbound

This paper cites A model of opinion dynamics evolving via a preferential attachment mechanism involving multiple extractions.

Majority Dynamics on Resampled Sparse Erd\H{o}s--R\'enyi Graphs: Gaussian Winner Selection and Pace to Unanimity A model of opinion dynamics evolving via a preferential attachment mechanism involving multiple extractions

Reference 18

Resolution
verified exact
local_arxiv, observed 2026-08-07T13:56:45.505149Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:56:44.368203Z digest=sha256:594e12e2bba4b6ff15dfe682e77305a6dc1be122a880914925b68c163121424b

Observation 83c36db9-9e46-486d-9843-5dcad5278d93 · outbound

This paper cites Majority dynamics: The power of one.

Majority Dynamics on Resampled Sparse Erd\H{o}s--R\'enyi Graphs: Gaussian Winner Selection and Pace to Unanimity Majority dynamics: The power of one

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:56:47.136073Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:56:44.469732Z digest=sha256:ae3408190abb839e2a6fb52b8e949dd5bb9deae1b4a973ef32fb4dbb8ed89333

Observation dcdf1799-ccd1-4fa1-8ee2-c1f1fd1dc559 · outbound

This paper cites Le Cam’s Inequality and Poisson Approximations.

Majority Dynamics on Resampled Sparse Erd\H{o}s--R\'enyi Graphs: Gaussian Winner Selection and Pace to Unanimity Le Cam’s Inequality and Poisson Approximations

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:56:46.982711Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:56:44.556468Z digest=sha256:d079afa2b6575a9f803b4132a3b9a6506d2ff97c8c1be00c67618f8006dd54ee

Observation 4ad3b5da-2004-41b7-b92f-cf1f7705c8f9 · outbound

This paper cites The “Power of Few.

Majority Dynamics on Resampled Sparse Erd\H{o}s--R\'enyi Graphs: Gaussian Winner Selection and Pace to Unanimity The “Power of Few

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:56:46.861407Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:56:44.640637Z digest=sha256:25781d52fa54c59a5962d7ab49820222c69f029d153bc4ecb87bf22c3f3e163f

Observation 125ab2d7-94a1-4144-8090-9917065c133a · outbound

This paper cites Reaching a Consensus on Random Networks: The Power of Few.

Majority Dynamics on Resampled Sparse Erd\H{o}s--R\'enyi Graphs: Gaussian Winner Selection and Pace to Unanimity Reaching a Consensus on Random Networks: The Power of Few

Reference 22

Resolution
unresolved
no resolver link, observed 2026-08-07T13:56:44.734006Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T13:56:44.734006Z digest=sha256:6b0515b5a500c32f62896fce749cd4fde57bd9505cf73d6c93b5db2505b6b62f

Observation e2126a21-ae6b-4a38-ae0e-a21471db98da · outbound

This paper cites Consensus on Dynamic Stochastic Block Models: Fast Convergence and Phase Transitions.

Majority Dynamics on Resampled Sparse Erd\H{o}s--R\'enyi Graphs: Gaussian Winner Selection and Pace to Unanimity Consensus on Dynamic Stochastic Block Models: Fast Convergence and Phase Transitions

Reference 23

Resolution
verified exact
local_arxiv, observed 2026-08-07T13:56:45.333586Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:56:44.846964Z digest=sha256:dcd45323865abbb2b39b8cf2a8a2a6803cccaeb040fcc12108f21d9bfa09c5e4

Observation bf316a47-966b-4bed-9251-4c7f1259c20c · outbound

This paper cites Opinion forming in Erd˝ os–R´ enyi random graph and expanders.

Majority Dynamics on Resampled Sparse Erd\H{o}s--R\'enyi Graphs: Gaussian Winner Selection and Pace to Unanimity Opinion forming in Erd˝ os–R´ enyi random graph and expanders

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:56:46.738206Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:56:44.933220Z digest=sha256:bbbaa19293719372a71c7be49663d1ad69e886691f6a648d90a1a6fa5c6c6f0f

Observation ba65fc82-8fd6-4eb8-bcaf-e108feaa560d · outbound

This paper cites Clustering in co-evolving opinion dynamics: reduced SPDE models.

Majority Dynamics on Resampled Sparse Erd\H{o}s--R\'enyi Graphs: Gaussian Winner Selection and Pace to Unanimity Clustering in co-evolving opinion dynamics: reduced SPDE models

Reference 25

Resolution
unresolved
no resolver link, observed 2026-08-07T13:56:44.974198Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T13:56:44.974198Z digest=sha256:54675e7c74e9b651a3532ed49bef24623574202667858610961cff64a9aca98a

Pith citing papers

No inbound Pith citation observations are available.