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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.

source=pdf_text observed=2026-08-07T13:56:42.840333Z digest=sha256:10918dc9f38fcba2044f30abc61062a70f520027a749da5ca791fb23b21103dd

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:c024230cf003401de0a2fdf76ab9a0bb634b7d3485aaf41608867709c8c2f1a8

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=sha256:122b91313057f5ebd95c9c1c98ac5e6a3bd321c64b9db88f517ad7bccb9c0087

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=sha256:79bea6d6791304110370a13bf69ac9726eb35faeb582da88d25e56f2e2156d06

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=sha256:31cb36650fe166fd33950ba2aa7d621125debd05a67340c67903ed91d35ff2cc

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=sha256:8a590e3883a326b22aa2c117023e135cfc66af28c2e23c655db2859cf0223a78

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=sha256:2f374ae1964d19250ccd448e3485bca8a2e33de5253fd685209a9e9410360cec

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=sha256:27afba99a2fb81bcdc423c4b41ec35e9d6ba6df549083ee5907fb2d5edc69120

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=sha256:9d8461115890dcd453fcca8f08b746e36b6fb317cdc2ea115c5129e9a64d921b

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=sha256:44431344de0ee552fef504189aa98d3316083fd268fe05732bfd6535ac23d229

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=sha256:66bc3fc366c6be703c51c5d1e5b4e86b1591c1ea83383d916e7b6d2e38b43511

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:ab05495129e246d704a45c4439656b0bd710be9586a279f8558239e81e5c40c4

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=sha256:0d2a974d33f96cdafba4654dea6cf4532b2ca93a1ce8d225f796aadfa3b7d4f3

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=sha256:0233447fb51e176a63fcc6344ea03aed668ef9500b51fb29dea82479e5050555

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=sha256:26a2e97f7a3b8d770e9503b9c8eef39b330cb6d365752850895323175e6319d8

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:d765e75707456eb6f2855c22095db26a2b17b2fde0b56b58e08f647df6c7a70a

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:dd8c9f2ab99e1db8fe204279ba3c984185a479559da40e34cd53fecde50e3de2

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=sha256:67798cc6b2d57b0813f2cc7d7fe87cbeb95f2364e263d9f2e6ccfd9cf261daa9

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=sha256:159a099df028782093632d8a4336483300c7533713236dfc723915db4e05f1ab

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:ee03d10ea6d980585ffcff19fd5fb26bbe0983471f59114a81cc6c21ac39b1b7

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:ac4835142e998b469865269ac4917067b8f1589ff0cdd822c1645c17d3fac4d1

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=sha256:39c4c6916391ee627fd4b3f60b0c7088e0159525921cd860dfc058f3e6618b81

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=sha256:128f8635772d50dbce5741935ffc0f0e1e914cc6e848038ffa165c3d085191a7

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:e75affd6957da7edcc51d660ba3b38cbef4c8ad27a8ab8e992ca4e657755d6be

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:ade5532d5f9e83dcf1f47cedb77585b250d02347f71dbd8eb7d0a6c0173431e4

Pith citing papers

No inbound Pith citation observations are available.