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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=sha256:06073b45facbb93020fc342e749a2f3ec842a021f3bc8acdbc829061b78be557

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:b782e9dcf9850cd8e25c76d97fdce974b7eaf61fe3c043121d725a2392abefbc

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=sha256:12fcc2d2bbc257375f58952c3ab64d33131917dec7ba2f84d21686b590230084

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:bbc26ca166665ed7f3bfc96845ce8d359d125ef59ce4a0e7047bbfee64bfe58a

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=sha256:70f022038307bd0a473dc75d0d352f2b22eb6f43c7cc02f0b0e77923f4d21d9d

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=sha256:70171ae2a0420fdbb51ba3c7b0316558833c784b4fceffddf041e8f1e52506a7

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:ba6ec05b4fa3c323334feba6f9dac8a853746a213c127e38274c78dc12c89c68

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=sha256:91f5b6882b1dde39511f1f06267ea85c79bc1632e9ee7c4d4fe12bc8ac73863d

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:b93538e56bc6aa40f2650e34062f86784008016ce16ef6dbd5a4d72102f31eee

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:b81a91542a5ce28fa6d96c2fd00321f4f6be88dfaa961156780005c5fb62110b

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=sha256:3a1b03a1a952ce3a5f12383c154327ad8cc67d231ece4e1d1a39fa2fa7386a68

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=sha256:0b958f789bcf788675921a543787b298e2391f701b5ef975f4ddab590b975429

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=sha256:43c5d2eefad231b2355d292b16cf515e01d19dbe55ce583862553ed4f76e6e7e

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:aa026ecd0fd1df928e471f51f0d89b623e55ddfa39901801830f79df0d84d1ee

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=sha256:64458b37ef90f59e87d1be68194cc1b93416212f2d16deaad39689b453d9b2e8

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=sha256:78ff2d0358582fb8326a16775a84806dd09eef78e3633811e2636d32eb70cbf2

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:c9cbe040f46085cb449523b18ab87e9f27d75a26f90f6c1dda305e1886103015

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=sha256:8b15cc771a0b2e9c1812d0b61a0477882026e5d8f228041cf233a88742af7deb

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:bf331b0ba2ce2f5439d61af8242458e443e099dc08de143cdaa5b76651cc68db

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:ee36f77705ee416beaa4f7613560284cfc6c420c317f4f18793ee5be9352736e

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=sha256:0189f7f97dc008f5f6420486254d076d1a76ddd61bd1b44865634e13289eb869

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=sha256:5a960418bd730fc3f8fea8c09fe4b3d629a8f27c771cb112087d185772dc734a

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=sha256:9e9d8237babb3c07f974d9d9ff6ed56097675a68c6a8d964bedd4133f60864ab

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=sha256:6c10a700c3820f75111f27b78c047966e59b50c887653e23e8e57878194da9aa

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:a3e7e6ecc67305e5b9f1b63359c5c45080c2cfd6600099bda6186d184f6d72fd

Pith citing papers

No inbound Pith citation observations are available.