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Paper Citation Record · LEDGER

Voter model on heterogeneous directed networks

As of 7 August 2026, this Paper Citation Record lists 58 of 58 outbound references and 0 inbound Pith citation observations for arXiv:2506.12169.

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

pith.paper-citation-record.v1
2506.12169 v3

Coverage vector

measured 58 of 58 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T01:05:30.923986Z

measured 58 of 58 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+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

58 of 58 outbound references displayed

  • verified exact2
  • verified fuzzy32
  • unresolved24
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation ac7ae73b-d500-4523-ae6a-b08bcf0ee96a · outbound

This paper cites an unresolved cited work.

Voter model on heterogeneous directed networks Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-07T01:05:31.518966Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

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Observation 94247ff9-b6ee-4a38-87d8-a14766316847 · outbound

This paper cites an unresolved cited work.

Voter model on heterogeneous directed networks Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-07T01:05:31.480638Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T01:05:30.802644Z digest=sha256:12e71e93d6920c96ab8c3b3429499cae9cb6dc6143bffa73e6346ca156006266

Observation 5a4c088b-41f4-4d97-8a02-5385c0f35b69 · outbound

This paper cites In the caseα-CM and α-DCM this assumption is translated into requiring the minimal (in-out) degree to be at least 2 in the directed and 3 in the undirected setting.

Voter model on heterogeneous directed networks In the caseα-CM and α-DCM this assumption is translated into requiring the minimal (in-out) degree to be at least 2 in the directed and 3 in the undirected setting

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T01:05:31.511257Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T01:05:30.791161Z digest=sha256:2845ac024daa4e488cb3f9a41cdc4acd33ccb5118e1f9777bbdb159ed7fe59e9

Observation 22361519-b580-4d62-9b4c-6709ecc4693b · outbound

This paper cites Aldous,Probability approximations via the Pois- son clumping heuristic, Applied Mathematical Sciences, Vol.

Voter model on heterogeneous directed networks Aldous,Probability approximations via the Pois- son clumping heuristic, Applied Mathematical Sciences, Vol

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T01:05:31.465036Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T01:05:30.807533Z digest=sha256:009a2415eeecb173ab74c7da7bb842247b4b4f0e12251fcf5f4830e734591640

Observation 44e2615a-24fc-40f8-9d6f-db2a3eb7d1fb · outbound

This paper cites Durrett,Random graph dynamics, Cambridge Series in Statistical and Probabilistic Mathematics, Vol.

Voter model on heterogeneous directed networks Durrett,Random graph dynamics, Cambridge Series in Statistical and Probabilistic Mathematics, Vol

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T01:05:31.456384Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T01:05:30.809985Z digest=sha256:df035943a2e80856406daff087a63b9b6ed68fe1a89a3780e8f5ee542db55449

Observation 40b2b99c-41ad-4c3b-a7ab-94673ea425bf · outbound

This paper cites Clifford and A.

Voter model on heterogeneous directed networks Clifford and A

Reference 6

Resolution
unresolved
no resolver link, observed 2026-08-07T01:05:30.799862Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T01:05:30.799862Z digest=sha256:07f65f659fbd6b9538615c65b0086847aa2dcd67e4e3995bdc5143be01445059

Observation 91ecdf91-df6d-4b6f-9c02-3de50d577cfb · outbound

This paper cites Durrett, Some features of the spread of epidemics and information on a random graph, Proceedings of the Na- tional Academy of Sciences107, 4491 (2010).

Voter model on heterogeneous directed networks Durrett, Some features of the spread of epidemics and information on a random graph, Proceedings of the Na- tional Academy of Sciences107, 4491 (2010)

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T01:05:31.438598Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T01:05:30.815101Z digest=sha256:1c6b5ab477516db8003b7e2e1363219a811c18f8b8d0ab6b7525003b70fd6808

Observation dbefe9fb-dbde-4d32-a7c3-da7a0b26efb4 · outbound

This paper cites an unresolved cited work.

Voter model on heterogeneous directed networks Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-07T01:05:31.473003Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T01:05:30.805195Z digest=sha256:605632801eebfefa20af79920834c947caf2507c2766d220902f5b85707e3e19

Observation 9694552d-3aa6-49bb-9c34-fda2cb84f6b9 · outbound

This paper cites an unresolved cited work.

Voter model on heterogeneous directed networks Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-08-07T01:05:31.393741Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T01:05:30.819992Z digest=sha256:4453f0e755a0228c6b1b7b7bd04e615a2e29f01309e73dfcd29b8d02041f14ba

Observation 69cf2a7b-7e40-4d56-ae93-a884f00ceb32 · outbound

This paper cites Durrett and J.

Voter model on heterogeneous directed networks Durrett and J

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T01:05:31.370455Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T01:05:30.822406Z digest=sha256:f2f956ca93d9c6f57dfc19c3e95b01b7f74a4f0425d5386643755fb7af7e828f

Observation 34bd7b1a-e17f-4fda-b99b-07489cb46d09 · outbound

This paper cites an unresolved cited work.

Voter model on heterogeneous directed networks Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-08-07T01:05:31.447177Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T01:05:30.812483Z digest=sha256:1140680c75f58a557c715909f075f6f9226245a4e9f14f4fcf3829fb2fa75f63

Observation b261385a-d943-40f5-a434-193a1e37a9d7 · outbound

This paper cites an unresolved cited work.

Voter model on heterogeneous directed networks Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-07T01:05:31.341672Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T01:05:30.827115Z digest=sha256:7acca50fa867882067d9f950e62ed77c7a82b5197807b702e8ea1c3cd4efdbb6

Observation d5f05f37-e950-4c90-9b3b-c1e1a496740d · outbound

This paper cites Cooper, M.

Voter model on heterogeneous directed networks Cooper, M

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T01:05:31.415454Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T01:05:30.817682Z digest=sha256:617e2281b4229947b2dd3a7c2f0ff2d956302c0e8e811e5848180857cbc6bf90

Observation c3ba58df-d9a6-4cf5-8c54-3d91824ffc6d · outbound

This paper cites Cruciani, H.

Voter model on heterogeneous directed networks Cruciani, H

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T01:05:31.302781Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T01:05:30.831843Z digest=sha256:96cb38b2c61e7c55ecc6df4ea15d2a1137c1abbd546b06b8580cb0a24723e060

Observation 1ef94630-3e76-4a08-9b63-e0782964ef48 · outbound

This paper cites Rivera,Voting Models on Graphs, Phd thesis, King’s College London (2018).

Voter model on heterogeneous directed networks Rivera,Voting Models on Graphs, Phd thesis, King’s College London (2018)

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T01:05:31.282166Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T01:05:30.834081Z digest=sha256:4faaea22540ce86857c6043e54ceab249d88d6b91b4a5794c96f4ce4e5a35496

Observation 6c374a9d-c276-4fac-a298-783816dfd220 · outbound

This paper cites Castellano, M.

Voter model on heterogeneous directed networks Castellano, M

Reference 16

Resolution
unresolved
no resolver link, observed 2026-08-07T01:05:30.824675Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T01:05:30.824675Z digest=sha256:00db926866528220a34f453efc52052274b6d48b02e045ee52fa6bb352a73785

Observation b44686bd-cb6a-4e97-9bac-69298dafa93b · outbound

This paper cites an unresolved cited work.

Voter model on heterogeneous directed networks Unresolved cited work

Reference 17

Resolution
unresolved
raw_fallback, observed 2026-08-07T01:05:31.249548Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T01:05:30.838856Z digest=sha256:b7e8cea6955233f84512ad8fc43ee13b5398d2fbd34616a0a3afc7f46c8e83b9

Observation ee4d737f-f175-4dd3-b6d1-1c3629696747 · outbound

This paper cites Huo and R.

Voter model on heterogeneous directed networks Huo and R

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T01:05:31.321823Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T01:05:30.829413Z digest=sha256:6f7502d4fd864c2b7d1a53842f6fc901682268460a15dbe3fced22bf94d66ec3

Observation 4412c29e-8991-4c46-9714-a4f2624cea40 · outbound

This paper cites an unresolved cited work.

Voter model on heterogeneous directed networks Unresolved cited work

Reference 19

Resolution
unresolved
raw_fallback, observed 2026-08-07T01:05:31.228564Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T01:05:30.843521Z digest=sha256:166539acbc7d03fdee07fb0dcbe466abf60e018c52de50b287b54761cf4a1bfa

Observation fb174a98-23c8-4013-8a41-b2b6ee38622b · outbound

This paper cites an unresolved cited work.

Voter model on heterogeneous directed networks Unresolved cited work

Reference 20

Resolution
unresolved
raw_fallback, observed 2026-08-07T01:05:31.219374Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T01:05:30.845877Z digest=sha256:fdc54e3a490f33f580c1d1bc6affc47923de5d5e444690deec67761b0ba10bda

Observation 14a2ae2c-5663-46dc-b81e-3ac9874d1a33 · outbound

This paper cites Hassin and D.

Voter model on heterogeneous directed networks Hassin and D

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T01:05:31.263011Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T01:05:30.836524Z digest=sha256:70d0374c1cfa4354d7495f0acb1381029ca356f87b35a89749f2f7f8e357e47e

Observation f0f99dfd-46ae-4789-994a-872071c8a9e1 · outbound

This paper cites an unresolved cited work.

Voter model on heterogeneous directed networks Unresolved cited work

Reference 22

Resolution
unresolved
raw_fallback, observed 2026-08-07T01:05:31.527128Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T01:05:30.784397Z digest=sha256:5ddf70bb6e5e16c1f82104759cb80c2913b57aa41e4b96ca4529e8df6bcb84b7

Observation 416562b1-7d2b-4e4b-b80f-8f597ee13860 · outbound

This paper cites Baronchelli, C.

Voter model on heterogeneous directed networks Baronchelli, C

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T01:05:31.238317Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T01:05:30.841153Z digest=sha256:21e675d02ff8c24b44ef4f1c02676a9d2ad5eb39668b23c97cc1e18f8eb9b919

Observation 786d3413-a4ed-42a9-b8f0-6f55df80ee42 · outbound

This paper cites an unresolved cited work.

Voter model on heterogeneous directed networks Unresolved cited work

Reference 24

Resolution
unresolved
raw_fallback, observed 2026-08-07T01:05:31.186905Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T01:05:30.855683Z digest=sha256:18f77c1a6be1b44e0ab6e57790d99aa749be38225554a061048bf9fcd2734f75

Observation f1108035-29e7-485f-a4f5-95f26cb4826f · outbound

This paper cites Durrett,Dynamics on Graphs, 2nd ed., Cambridge Se- ries in Statistical and Probabilistic Mathematics (Cam- bridge University Press, 2025).

Voter model on heterogeneous directed networks Durrett,Dynamics on Graphs, 2nd ed., Cambridge Se- ries in Statistical and Probabilistic Mathematics (Cam- bridge University Press, 2025)

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T01:05:31.178970Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T01:05:30.858018Z digest=sha256:8fa937c9060d4ebcbd8ab775426ddfded121aafa444b09fae38dc933ed12e669

Observation 76b32e90-c221-47b4-978e-6c93a6ec543d · outbound

This paper cites Cooper and A.

Voter model on heterogeneous directed networks Cooper and A

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T01:05:31.210531Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T01:05:30.848411Z digest=sha256:cef23a8b5c5f7a13969e59a0b17e1979c52d1da08369456a2bb913339d98c386

Observation 3e3ee79b-234b-4390-8b7b-d234c9d3ee00 · outbound

This paper cites an unresolved cited work.

Voter model on heterogeneous directed networks Unresolved cited work

Reference 27

Resolution
unresolved
raw_fallback, observed 2026-08-07T01:05:31.202789Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T01:05:30.850616Z digest=sha256:fe006ab6da322c7a5e9512fee5bb9f8ecbfbf9a14af989aa69d2d2e59e1c58d5

Observation 433cb060-db94-45e2-bb18-3e6d058e61a9 · outbound

This paper cites an unresolved cited work.

Voter model on heterogeneous directed networks Unresolved cited work

Reference 28

Resolution
unresolved
raw_fallback, observed 2026-08-07T01:05:31.194896Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T01:05:30.852951Z digest=sha256:ecac1ea7153769af427e7af3cd897d3a16f4a9a679ebd974e43f5464c5efddf0

Observation 6e639aef-7a12-435f-bb64-a9aa195c7c9c · outbound

This paper cites an unresolved cited work.

Voter model on heterogeneous directed networks Unresolved cited work

Reference 29

Resolution
unresolved
raw_fallback, observed 2026-08-07T01:05:31.157982Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T01:05:30.867612Z digest=sha256:04e8f4111dc85a12042a2914ce0fc122b8706394987d78a6cc00f8890250d9c5

Observation b9adb5f2-ba11-4ca3-997f-8aa66f0f5c00 · outbound

This paper cites Fernley and M.

Voter model on heterogeneous directed networks Fernley and M

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T01:05:31.150868Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T01:05:30.869859Z digest=sha256:3eca01bc00b05fdb97cf2e704d25e648023f891dcdb613a3a024ac2b8c6f997b

Observation 654e185a-6b2d-4626-ab8e-79660b37a949 · outbound

This paper cites Newman,Networks(Oxford university press, 2018).

Voter model on heterogeneous directed networks Newman,Networks(Oxford university press, 2018)

Reference 31

Resolution
unresolved
no resolver link, observed 2026-08-07T01:05:30.860451Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T01:05:30.860451Z digest=sha256:c8501490da16f0bf43e463fa1d30168fdd61f74a5e4b566fc8a7f32a94669edf

Observation 1b69014b-74ca-4333-8131-10746172075a · outbound

This paper cites Avena, R.

Voter model on heterogeneous directed networks Avena, R

Reference 32

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T01:05:31.165408Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T01:05:30.862732Z digest=sha256:c33229336f2efa4080721ddfccc0de46c5bd5c2059b5598c16881846ba539168

Observation e2068265-f320-4aec-af42-51639233b14c · outbound

This paper cites The voter model on random regular graphs with random rewiring.

Voter model on heterogeneous directed networks The voter model on random regular graphs with random rewiring

Reference 33

Resolution
unresolved
no resolver link, observed 2026-08-07T01:05:30.865000Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T01:05:30.865000Z digest=sha256:e1b09952ebb62597a3c321ecda7ba25e2c646388d7c5320afff967dfb5621e5a

Observation 7555fcfb-1549-4549-aefa-296c3c5381dd · outbound

This paper cites Durrett, J.

Voter model on heterogeneous directed networks Durrett, J

Reference 34

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T01:05:31.121389Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T01:05:30.879430Z digest=sha256:ffb2ebd42885c34809d15d8533ee986837e5150640e1bf596b9669f51f989e74

Observation 15938f1e-f1c1-4cc7-bd83-b25640faf563 · outbound

This paper cites Basu and A.

Voter model on heterogeneous directed networks Basu and A

Reference 35

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T01:05:31.113728Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T01:05:30.881721Z digest=sha256:e88d7e1bfe658503bc6798dccdc3893833b15e8d6620a1f767ebcf4a784fb2f8

Observation 76ba8033-a507-493e-bc34-3e87e4d4625d · outbound

This paper cites an unresolved cited work.

Voter model on heterogeneous directed networks Unresolved cited work

Reference 36

Resolution
unresolved
raw_fallback, observed 2026-08-07T01:05:31.143296Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T01:05:30.872310Z digest=sha256:229de9bd0883ad26e81d89819a3bd1758c39bc5f1dd2fd084f89445367623440

Observation f066cde0-7385-4de5-82f5-558c6a247130 · outbound

This paper cites Avena, F.

Voter model on heterogeneous directed networks Avena, F

Reference 37

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T01:05:31.136076Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T01:05:30.874742Z digest=sha256:f356550fa16465805cd8e558d95f42f99e7f871475fcac64cdff729149b63db3

Observation 65a7832f-514c-474b-b894-f113c946032b · outbound

This paper cites Holme and M.

Voter model on heterogeneous directed networks Holme and M

Reference 38

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T01:05:31.128723Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T01:05:30.877047Z digest=sha256:04ac877d120fed55b0c6e6337fc0560404e691dea212b2cbe725e8f182348a6e

Observation 77770760-8efd-4071-bcc1-3da734710edc · outbound

This paper cites Capannoli, Evolution of discordant edges in the voter model on random sparse digraphs, Electron.

Voter model on heterogeneous directed networks Capannoli, Evolution of discordant edges in the voter model on random sparse digraphs, Electron

Reference 39

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T01:05:31.098091Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T01:05:30.891440Z digest=sha256:57ab8eb3ed8aa43dfb8eda83cd0ce1f5af79bc01bbc4f68de7657e7609230462

Observation 30c011ce-305f-4f7a-9fa3-f36dd8ea7049 · outbound

This paper cites an unresolved cited work.

Voter model on heterogeneous directed networks Unresolved cited work

Reference 40

Resolution
unresolved
raw_fallback, observed 2026-08-07T01:05:31.090345Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T01:05:30.893898Z digest=sha256:c4bcd2bcbfdf8b7df2f1bbca5eec30fa5c07d277939b49056f68665e85512037

Observation 1486589b-6417-469f-9151-724599e5f603 · outbound

This paper cites Co-evolving vertex and edge dynamics in dense graphs.

Voter model on heterogeneous directed networks Co-evolving vertex and edge dynamics in dense graphs

Reference 41

Resolution
unresolved
no resolver link, observed 2026-08-07T01:05:30.883959Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T01:05:30.883959Z digest=sha256:4650cc8aca06b0661832ce5eb6447f06d0a0ccdec456f557941512478e5893d2

Observation 3f9ca984-61bd-47aa-9b25-5a07f3f7d30a · outbound

This paper cites Opinion dynamics on dense dynamic random graphs.

Voter model on heterogeneous directed networks Opinion dynamics on dense dynamic random graphs

Reference 42

Resolution
unresolved
no resolver link, observed 2026-08-07T01:05:30.886501Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T01:05:30.886501Z digest=sha256:0e3acac16a91e551e7ece29ff2959911cfaaa51aa2f66ef63e5350be6f6b9957

Observation b8820a9e-bb6b-4622-afd7-aa8620dded24 · outbound

This paper cites en- tropic time.

Voter model on heterogeneous directed networks en- tropic time

Reference 43

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T01:05:31.106216Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T01:05:30.889073Z digest=sha256:ef4f2e7679b9e9b178214889357443ab6ff4dbc3bca9e468ae7bdeb1911f86f5

Observation 4017ba16-4e69-4b89-9acd-d8d3e91ca4c7 · outbound

This paper cites Bollob´ as, A probabilistic proof of an asymptotic for- mula for the number of labelled regular graphs, Eur.

Voter model on heterogeneous directed networks Bollob´ as, A probabilistic proof of an asymptotic for- mula for the number of labelled regular graphs, Eur

Reference 44

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T01:05:31.059381Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T01:05:30.903164Z digest=sha256:e7d5d365148f21a84b30cb6d98568f94f53790229ce6644e708898cf17e548ae

Observation e56da1fb-2118-494c-924d-5263b7e9b914 · outbound

This paper cites Minimum stationary values of sparse random directed graphs.

Voter model on heterogeneous directed networks Minimum stationary values of sparse random directed graphs

Reference 45

Resolution
verified exact
local_arxiv, observed 2026-08-07T01:05:30.966478Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T01:05:30.905448Z digest=sha256:4c3c762880eba61d0ec6d1e7dbbaa44634065eabb197ce0ce36499b4a4edf9b3

Observation 66431581-b21b-43df-8d58-7125dab167ac · outbound

This paper cites an unresolved cited work.

Voter model on heterogeneous directed networks Unresolved cited work

Reference 46

Resolution
unresolved
raw_fallback, observed 2026-08-07T01:05:31.082492Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T01:05:30.896242Z digest=sha256:0bd8972830d1015844f3b98ba9e2bd04c59cd1b0c5f01d2462fa994a1faace85

Observation dc5fed5d-7b67-4632-a27f-11f5e2dffc99 · outbound

This paper cites an unresolved cited work.

Voter model on heterogeneous directed networks Unresolved cited work

Reference 47

Resolution
unresolved
raw_fallback, observed 2026-08-07T01:05:31.074569Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T01:05:30.898479Z digest=sha256:f4f07c16fcc3abae706dfb056bab24de59e41fe30fbdc9d1ea4b81b4114bda7b

Observation 995b780d-de0c-4db1-b34b-a3e5a77cdb44 · outbound

This paper cites Aldous and J.

Voter model on heterogeneous directed networks Aldous and J

Reference 48

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T01:05:31.067082Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T01:05:30.900761Z digest=sha256:d1ea19a41bde45ca09bd8e6a6eb06c82c99fec169d1a4d2e20f54174873dbe5a

Observation a300bd20-77c5-4b24-aa50-18a01016637f · outbound

This paper cites We now ex- plore via simulations whether the coalescence result state above in (IV.6) is valid in the directed case, specifically theα−DCM ensemble.

Voter model on heterogeneous directed networks We now ex- plore via simulations whether the coalescence result state above in (IV.6) is valid in the directed case, specifically theα−DCM ensemble

Reference 49

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T01:05:31.494367Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T01:05:30.797032Z digest=sha256:65c1965bc0f87a73118482443fe8285f321d6e3e712526a180f9959cd18ccbba

Observation 1a33eea1-7c5e-4994-bf08-a783771c2512 · outbound

This paper cites strongly connected with high probability [49]).

Voter model on heterogeneous directed networks strongly connected with high probability [49])

Reference 50

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T01:05:31.502864Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T01:05:30.793899Z digest=sha256:d12756488ae48666b120a71d01c49deeb14be56b5b647210db11f8e1d7a269a0

Observation 65ee7936-0a40-4aee-9475-1db2ea058065 · outbound

This paper cites Caputo and M.

Voter model on heterogeneous directed networks Caputo and M

Reference 51

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T01:05:31.051433Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T01:05:30.908048Z digest=sha256:023288070991767514f5bfcd9231f27e91a8a93952d8bf2f1581691d44ebd65b

Observation 0b3b0ca4-d652-4e59-807b-b1bb88d88fd3 · outbound

This paper cites Caputo and M.

Voter model on heterogeneous directed networks Caputo and M

Reference 52

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T01:05:31.043513Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T01:05:30.910340Z digest=sha256:6e119bbe418e9269cbb6f5d9ddf89be5fc35b9eeec5d131e5769dd26c590ca09

Observation 8928d1f0-1248-416e-a0c5-252edc39a8f5 · outbound

This paper cites Bordenave, P.

Voter model on heterogeneous directed networks Bordenave, P

Reference 53

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T01:05:31.034743Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T01:05:30.912610Z digest=sha256:fadef19ff386832dfdd33a8c201de7130c4bf58defd4dc7dbc590f12c1da774d

Observation ff15375d-4af5-4372-8daf-87850ae5ab83 · outbound

This paper cites Cooper and A.

Voter model on heterogeneous directed networks Cooper and A

Reference 54

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T01:05:31.026646Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T01:05:30.914939Z digest=sha256:716f16ad32090f54bb516bcb2fd42786376cf505a90b4308934c3210a617a1e0

Observation 09660389-b59b-4db9-a4d9-c0a4672e1ecb · outbound

This paper cites Federico and R.

Voter model on heterogeneous directed networks Federico and R

Reference 55

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T01:05:31.018621Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T01:05:30.917088Z digest=sha256:ab5f2da572c89e2b0bd4b26eb811f1cbef121fe88584c92c70c1ed4d25db5ae1

Observation ee6b9e76-62f1-423c-a428-09a231604dae · outbound

This paper cites First Visit Time Lemma.

Voter model on heterogeneous directed networks First Visit Time Lemma

Reference 56

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T01:05:31.010141Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T01:05:30.919330Z digest=sha256:3c7e5f2b93a0ce780c8e5d32a39abdc17853d9a1f4615c172b503c09c4e3eff0

Observation 38ab279e-9b07-441f-bd5c-8c9f12228db5 · outbound

This paper cites Chen, Wright-fisher diffusions for evolutionary games with death-birth updating, Ann.

Voter model on heterogeneous directed networks Chen, Wright-fisher diffusions for evolutionary games with death-birth updating, Ann

Reference 57

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T01:05:31.001896Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T01:05:30.921628Z digest=sha256:38481afac9f94a700a1d201683dfa9df4b0e71d2e2db9c2d5d593a81932c02c5

Observation 0963391b-3032-40ce-a5b7-d52505cfe570 · outbound

This paper cites Evolution of Discordance.

Voter model on heterogeneous directed networks Evolution of Discordance

Reference 58

Resolution
verified exact
local_arxiv, observed 2026-08-07T01:05:30.954309Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T01:05:30.923986Z digest=sha256:a7613b6ca926580bd6497d172be719a014ff86cc674553ea0d32c910df557bfa

Pith citing papers

No inbound Pith citation observations are available.