Paper Citation Record · LEDGER

Contrarian Majority Dynamics: Violation of Detailed Balance and Nonequilibrium Steady States

As of 15 August 2026, this Paper Citation Record lists 29 of 29 outbound references and 0 inbound Pith citation observations for arXiv:2607.02358.

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

pith.paper-citation-record.v1
2607.02358 v1

Coverage vector

measured 29 of 29 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-07-03T03:54:55.266859Z

measured 29 of 29 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-15T06:32:42.880941+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

29 of 29 outbound references displayed

verified exact0
verified fuzzy22
unresolved7
parse uncertain0
malformed identifier0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation acc5d3ac-ef37-4021-bbd6-192d0bb970fa · outbound

This paper cites an unresolved cited work.

Contrarian Majority Dynamics: Violation of Detailed Balance and Nonequilibrium Steady States Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-07-05T15:01:14.557675Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 4ab8392c-a0be-4ccc-b5d9-9065b7b1ece2 · outbound

This paper cites an unresolved cited work.

Contrarian Majority Dynamics: Violation of Detailed Balance and Nonequilibrium Steady States Unresolved cited work

Reference 2

Resolution: unresolved; raw_fallback, observed 2026-07-05T15:01:14.583445Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation c6b0189d-26b5-422d-a081-4f4607e9609d · outbound

This paper cites De- tailed balance with respect toP GMM requires PGMM(σ)W σ→σ ′ =P GMM(σ′)W σ′→σ.

Contrarian Majority Dynamics: Violation of Detailed Balance and Nonequilibrium Steady States De- tailed balance with respect toP GMM requires PGMM(σ)W σ→σ ′ =P GMM(σ′)W σ′→σ

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-07-05T15:01:14.552399Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation fd0a01f1-8c23-4e3c-a6eb-af17a2185f97 · outbound

This paper cites an unresolved cited work.

Contrarian Majority Dynamics: Violation of Detailed Balance and Nonequilibrium Steady States Unresolved cited work

Reference 4

Resolution: unresolved; raw_fallback, observed 2026-07-05T15:01:14.581119Z

Source-reported events for the cited work

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Observation 56a4d801-fdc3-4fa0-85cf-a2962b0dd6d8 · outbound

This paper cites Consider the four configurations R1 = (+,+,+), R 2 = (+,+,−), R 5 = (+,−,−), R 3 = (+,−,+), with the elementary square cycle R1 →R 2 →R 5 →R 3 →R 1.

Contrarian Majority Dynamics: Violation of Detailed Balance and Nonequilibrium Steady States Consider the four configurations R1 = (+,+,+), R 2 = (+,+,−), R 5 = (+,−,−), R 3 = (+,−,+), with the elementary square cycle R1 →R 2 →R 5 →R 3 →R 1

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-07-05T15:01:14.564017Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 5874e858-5df7-48f6-b7be-af17cb2b945f · outbound

This paper cites Transitions involving one, two, or three simultaneous spin flips are therefore possi- ble.

Contrarian Majority Dynamics: Violation of Detailed Balance and Nonequilibrium Steady States Transitions involving one, two, or three simultaneous spin flips are therefore possi- ble

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-07-05T15:01:14.597343Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 1582334e-c771-4890-8f54-3f27b4004635 · outbound

This paper cites Consider the closed three-configuration cycle R5 = (+,−,−)→R 2 = (+,+,−)→R 8 = (−,−,−)→R 5.

Contrarian Majority Dynamics: Violation of Detailed Balance and Nonequilibrium Steady States Consider the closed three-configuration cycle R5 = (+,−,−)→R 2 = (+,+,−)→R 8 = (−,−,−)→R 5

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-07-05T15:01:14.576224Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 31256b4f-183c-4c80-ad53-d964243874c1 · outbound

This paper cites Statistical physics of social dynamics,.

Contrarian Majority Dynamics: Violation of Detailed Balance and Nonequilibrium Steady States Statistical physics of social dynamics,

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-07-05T15:01:14.539299Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation e574e066-79b4-477f-a20b-08597a262b59 · outbound

This paper cites Opinion dynamics and bounded confidence models, analysis, and simulation,.

Contrarian Majority Dynamics: Violation of Detailed Balance and Nonequilibrium Steady States Opinion dynamics and bounded confidence models, analysis, and simulation,

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-07-05T15:01:14.560747Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 04d49717-f893-4f05-92d2-f99e4e96874e · outbound

This paper cites A model for spatial con- flict,.

Contrarian Majority Dynamics: Violation of Detailed Balance and Nonequilibrium Steady States A model for spatial con- flict,

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-07-05T15:01:14.573496Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 370dfa32-aff4-40f7-919f-cd0d7da9cf5f · outbound

This paper cites Ergodic theorems for weakly interacting infinite systems and the voter model,.

Contrarian Majority Dynamics: Violation of Detailed Balance and Nonequilibrium Steady States Ergodic theorems for weakly interacting infinite systems and the voter model,

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-07-05T15:01:14.543860Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 57acf583-ae5f-4a5d-8895-6c2beab7f3ce · outbound

This paper cites Time-dependent statistics of the Ising model,.

Contrarian Majority Dynamics: Violation of Detailed Balance and Nonequilibrium Steady States Time-dependent statistics of the Ising model,

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-07-05T15:01:14.603932Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation cfc137b3-b4e6-4137-9e03-f15c67c4002a · outbound

This paper cites Equation of state calcula- tions by fast computing machines,.

Contrarian Majority Dynamics: Violation of Detailed Balance and Nonequilibrium Steady States Equation of state calcula- tions by fast computing machines,

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-07-05T15:01:14.601717Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 13700bb8-af29-4f35-bf7b-a27068252ff5 · outbound

This paper cites an unresolved cited work.

Contrarian Majority Dynamics: Violation of Detailed Balance and Nonequilibrium Steady States Unresolved cited work

Reference 14

Resolution: unresolved; raw_fallback, observed 2026-07-05T15:01:14.605774Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation febc7a45-e854-4c0f-afec-5cb0fa7a5634 · outbound

This paper cites Contrarian deterministic effects on opinion dynamics: the hung elections scenario,.

Contrarian Majority Dynamics: Violation of Detailed Balance and Nonequilibrium Steady States Contrarian deterministic effects on opinion dynamics: the hung elections scenario,

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-07-05T15:01:14.592179Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 4c6e2b82-51da-4c9e-a1b9-86b759adc4f1 · outbound

This paper cites Sociophysics: a review of Galam models,.

Contrarian Majority Dynamics: Violation of Detailed Balance and Nonequilibrium Steady States Sociophysics: a review of Galam models,

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-07-05T15:01:14.599373Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 0af585f3-fbd7-4a29-8c15-12e1425179ed · outbound

This paper cites Galam,Sociophysics: A Physicist’s Modeling of Psycho-Political Phenomena(Springer, New York, 2012).

Contrarian Majority Dynamics: Violation of Detailed Balance and Nonequilibrium Steady States Galam,Sociophysics: A Physicist’s Modeling of Psycho-Political Phenomena(Springer, New York, 2012)

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-07-05T15:01:14.589492Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation e8517759-1458-4f54-8d34-6c2d335049e8 · outbound

This paper cites an unresolved cited work.

Contrarian Majority Dynamics: Violation of Detailed Balance and Nonequilibrium Steady States Unresolved cited work

Reference 18

Resolution: unresolved; raw_fallback, observed 2026-07-05T15:01:14.566324Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 041692c8-61e1-4f3f-8e92-9fc8fa447e17 · outbound

This paper cites an unresolved cited work.

Contrarian Majority Dynamics: Violation of Detailed Balance and Nonequilibrium Steady States Unresolved cited work

Reference 19

Resolution: unresolved; raw_fallback, observed 2026-07-05T15:01:14.571085Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation a23b1b96-3eb6-4202-b0b9-3848963db72f · outbound

This paper cites Zur Theorie der Markoffschen Ket- ten,.

Contrarian Majority Dynamics: Violation of Detailed Balance and Nonequilibrium Steady States Zur Theorie der Markoffschen Ket- ten,

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-07-05T15:01:14.541648Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 165704e6-299d-4560-b4c1-01622414f620 · outbound

This paper cites an unresolved cited work.

Contrarian Majority Dynamics: Violation of Detailed Balance and Nonequilibrium Steady States Unresolved cited work

Reference 21

Resolution: unresolved; raw_fallback, observed 2026-07-05T15:01:14.594484Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 9e49598b-4571-421f-a972-45fece6f2531 · outbound

This paper cites Probability currents as principal characteristics in the statistical mechanics of non-equilibrium steady states,.

Contrarian Majority Dynamics: Violation of Detailed Balance and Nonequilibrium Steady States Probability currents as principal characteristics in the statistical mechanics of non-equilibrium steady states,

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-07-05T15:01:14.586074Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 864abeb8-e3a2-49cc-9c32-bdc03eb8cd43 · outbound

This paper cites Stochastic thermodynamics, fluctuation the- orems and molecular machines,.

Contrarian Majority Dynamics: Violation of Detailed Balance and Nonequilibrium Steady States Stochastic thermodynamics, fluctuation the- orems and molecular machines,

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-07-05T15:01:14.607785Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 8784dd84-fd55-4da4-87e0-e55fcbfa1b04 · outbound

This paper cites Non-equilibrium critical phenomena and phase transitions into absorbing states,.

Contrarian Majority Dynamics: Violation of Detailed Balance and Nonequilibrium Steady States Non-equilibrium critical phenomena and phase transitions into absorbing states,

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-07-05T15:01:14.568798Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 1bc2aaa7-f13e-4d29-af4b-2c03b30f874b · outbound

This paper cites Minority opinion spreading in random geom- etry,.

Contrarian Majority Dynamics: Violation of Detailed Balance and Nonequilibrium Steady States Minority opinion spreading in random geom- etry,

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-07-05T15:01:14.555077Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 957dc9e9-a998-4247-9cbd-e8c4f1d4be41 · outbound

This paper cites The role of inflexible minori- ties in the breaking of democratic opinion dynamics,.

Contrarian Majority Dynamics: Violation of Detailed Balance and Nonequilibrium Steady States The role of inflexible minori- ties in the breaking of democratic opinion dynamics,

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-07-05T15:01:14.578682Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 0af8c869-5c69-46a4-9c1d-cee9cb290d07 · outbound

This paper cites Heterogeneous beliefs, segregation, and ex- tremism in the making of public opinions,.

Contrarian Majority Dynamics: Violation of Detailed Balance and Nonequilibrium Steady States Heterogeneous beliefs, segregation, and ex- tremism in the making of public opinions,

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-07-05T15:01:14.549289Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation ea99bd73-c21e-441c-b0bc-5fee81f15648 · outbound

This paper cites Exit probability of the one-dimensional q-voter model: Analytical results and simulations for large networks,.

Contrarian Majority Dynamics: Violation of Detailed Balance and Nonequilibrium Steady States Exit probability of the one-dimensional q-voter model: Analytical results and simulations for large networks,

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-07-05T15:01:14.546474Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 36fee3fe-1d06-4165-a809-04bf6b72ca35 · outbound

This paper cites Democratic Thwarting of Majority Rule in Opinion Dynamics: 1. Unavowed Prejudices Versus Con- trarians,.

Contrarian Majority Dynamics: Violation of Detailed Balance and Nonequilibrium Steady States Democratic Thwarting of Majority Rule in Opinion Dynamics: 1. Unavowed Prejudices Versus Con- trarians,

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-07-05T15:01:14.609892Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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