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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 9 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 2026-08-09T06:31:02.800959+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 2026-08-09T06:31:02.800959+00:00.

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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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T13:56:42.914394Z digest=sha256:15cffdf22cebbe714607f574fe37c654580cc7b6f1ff69f38485f256229069d9

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T13:56:42.996970Z digest=sha256:623c0aa064f80793559357920655a7a7a547e4d60b7983fb4a39433acc4d1a19

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T13:56:43.062179Z digest=sha256:04b270a36412fc6d127a648d1ba10206ebe9944163c4f3f295de09363a45ff7a

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T13:56:43.124121Z digest=sha256:4cf2155638bc21da5429abdefe4d332ee0b943cbb21f646cf5fbdcd264c95e50

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=sha256:81a4d08b384774a89ed68883894c5084eab4276eb3acf167fa40a9811ec0d235

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T13:56:43.352106Z digest=sha256:77f95ee660af79a37814f96f0665f971c7964518f7443fa1ceb843ccff844586

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T13:56:43.426250Z digest=sha256:f18b7f6929e4c4be67732014adb3437e6c3b51050711fb30f46ed0e9c936c890

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T13:56:43.515054Z digest=sha256:ef3e186c3269c32293539842a0421aec7e9daa3e7a7c5fef1c2845a33aaa1c0d

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T13:56:43.613398Z digest=sha256:e3abb6b339ee56bf711d9f56f1bdf6ba9d46941dca1d7a0effca7c423f61b805

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T13:56:43.716827Z digest=sha256:bd7c0675016d2dd37af7eaca7bf59f517303f2175de9e3e68dd6a15a8d1afbd1

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:a3f3b3184266f5bd54118689cb36018f1089f072a09ab92e82a6ec7f55b868b9

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T13:56:43.893809Z digest=sha256:48425a8301a2b653cb9d25131049a7d287284d4ad8198c05aa5a15dd7ad19604

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T13:56:44.021711Z digest=sha256:087fca494e3b4bfed3323cd2381b3399b40dcc75e5641b31cb097fa6ada957dd

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T13:56:44.125988Z digest=sha256:228a9500800027911da29a02d007919fd6b86cdc607f673abbfccc239181c863

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T13:56:44.205850Z digest=sha256:2c7435fbb6cf75e312cf2f82e638a23d1a134527a7698b0a4841b0ed3b29f2ba

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T13:56:44.295139Z digest=sha256:6643e8e19f77b49a589470fdf4f60b5f514f63e8c054831c943c557d177f560c

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T13:56:44.368203Z digest=sha256:017ab0ad0fc62951f85ba65e8dd6f07c3bf6673b27d6709b95ab80530918ebad

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T13:56:44.469732Z digest=sha256:b465aa5af264fd2d84cb2133dd50342479e1a8df6abc86e1d48cb7092b479514

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T13:56:44.556468Z digest=sha256:1adab62941f4550b19aa678cce0c1f2c62c15bdb19c993569ec14c5643f80342

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T13:56:44.640637Z digest=sha256:eed64c1d9c071157aced505209e01c7a9b11e877d39e95941f42420dd5eace3f

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:d674170f08af32e1e9a572da3d7131acf890c0dd1c5d930ef98370e99b51bd52

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T13:56:44.846964Z digest=sha256:4435aabbd5dbaf75f08dee26759cbf7fed0ea8797dcc8d334957e01b5c551e0f

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T13:56:44.933220Z digest=sha256:d813875fd494273b525cdee5891be75b7b2c7cd0ed6e92259ea411c7e723650f

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=sha256:5762b8f9f656ee0f65c32bcce7d6af002e7d15f94eae50c952be9ff72ed14212

Pith citing papers

No inbound Pith citation observations are available.