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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 19 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 2026-08-19T06:32:44.657259+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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T13:56:42.840333Z digest=sha256:91ed9b0a87dda17b95c3de67e79bdf5b340a0d85f2f00c4988169c09f6271ab2

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T13:56:42.914394Z digest=sha256:270375a5d0e4255f57d0da01eb32d46fb507e2d7aea4388c3690b1b18371566f

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T13:56:42.996970Z digest=sha256:c4d819956e7a800ccaf2315e278baa46507fdd76fcb397e9f1fcbd1d8d82702c

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T13:56:43.062179Z digest=sha256:876a943439e930ff971ae446e55233cf7bc857fad577af3fbc49994601b33191

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T13:56:43.124121Z digest=sha256:62236f1479eaba9692dca83b03cf7d3881d203d5ac9c0716368f745655dfb3e2

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=sha256:6b9ba7b8668654cb80c2f4bf6c46c54d2239e4f16201b34e99ff9fb0b2c2b11e

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T13:56:43.352106Z digest=sha256:fa5b857edd617561aca376caaa823df2dcbbd6051b8012c144e2e9f501678797

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T13:56:43.426250Z digest=sha256:71e16132ca806b34b2695c80ecc5222a5a5d2d10c0e0a6f5e0b85402e46e1181

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T13:56:43.515054Z digest=sha256:1ae132d0792ad8fb8b9ca4c3386a83d3de29e7d57c2a659541174b69cd303135

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T13:56:43.613398Z digest=sha256:99460a11d112ae66b63ab5e9328a72579f81c00f379db7f69e0d883b44b92312

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T13:56:43.716827Z digest=sha256:2a1edeb8fc28423d326a9ec33bb2ee44d4f32bf70b9948249bdf7234e5bd6a18

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=sha256:862ca957fd356599eaaaebfbdbe16a2411ed21ef0b06fe04b94828351f3c89ef

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T13:56:43.893809Z digest=sha256:43fa80e266c9fe11f32f4fd7b7a900f301473d8ac2872622c541d25ab0b4526d

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T13:56:44.021711Z digest=sha256:ec17a775201e9c5c2621bc5a3fbd9610b3e466d3f7497a7114ec4278d94bdcbe

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T13:56:44.125988Z digest=sha256:c9c83c34e2207009e162b6dc1e69c3c4dcc675b3463484f6798eb80132b829bf

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T13:56:44.205850Z digest=sha256:b8b461f1eb744ad9a1270f827cb1148449744b2ceed1617af1259c8fa80c1b35

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T13:56:44.295139Z digest=sha256:c8406b92578696d97953b05a384b6b8b58062a1f8aafdbe01362ca5978b3d702

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T13:56:44.368203Z digest=sha256:0c54d2e5844683206c20ec192228ecdd3349060c499a9bd2f99719f17fee5f4a

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T13:56:44.469732Z digest=sha256:9e9080c1d269aa70e4641918bba939daf2205d80ce1653a4c8fce073ba9e661f

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T13:56:44.556468Z digest=sha256:029a9f7ee03157eb13dd77f34cb7d3aa647f206005a5d1e5a3ac648bbb876cd3

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T13:56:44.640637Z digest=sha256:32d12ff43d5da79da3eff1d38b889e846cc59f40ede86bd00715c9720525bc3d

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:ee3124e5708ba147c043bfac041603f8fc3cd1dd532b0da861312bb3be76fea0

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T13:56:44.846964Z digest=sha256:cf2cccc17f98443baec4aebaac1dad10c9844e438ab025954cf1397d207dd0c7

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T13:56:44.933220Z digest=sha256:9ac9a6eb5f98273bd0706b6acecccc065202157a1d5f7ad4cc8fb29fba0d2227

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:e9b77d290c99a1b635f524604007e63380fafc81c211750ac4c9d500eb2684eb

Pith citing papers

No inbound Pith citation observations are available.