Paper Citation Record · LEDGER

Edge-based mean-field approximation of dynamics on networks via approximate lumping of Markov chains

As of 22 August 2026, this Paper Citation Record lists 46 of 46 outbound references and 0 inbound Pith citation observations for arXiv:2607.05425.

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

pith.paper-citation-record.v1
2607.05425 v1

Coverage vector

measured 46 of 46 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-07-12T09:52:00.514645Z

measured 46 of 46 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-22T06:32:14.747728+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

46 of 46 outbound references displayed

verified exact0
verified fuzzy0
unresolved46
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 8a3b950f-a788-4e55-a1a8-f3a6aaf1fe50 · outbound

This paper cites Barrat, M.

Edge-based mean-field approximation of dynamics on networks via approximate lumping of Markov chains Barrat, M

Reference 1

Resolution: unresolved; no resolver link, observed 2026-07-12T09:52:00.514645Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 04f17b3b-73ad-4d04-a4e6-750e0c5d7e6f · outbound

This paper cites an unresolved cited work.

Edge-based mean-field approximation of dynamics on networks via approximate lumping of Markov chains Unresolved cited work

Reference 2

Resolution: unresolved; no resolver link, observed 2026-07-12T09:52:00.514645Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 44e3578b-b07c-4e1e-ac8b-dfaee019f5d2 · outbound

This paper cites an unresolved cited work.

Edge-based mean-field approximation of dynamics on networks via approximate lumping of Markov chains Unresolved cited work

Reference 3

Resolution: unresolved; no resolver link, observed 2026-07-12T09:52:00.514645Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 29838be3-f66a-4800-a0a3-c72f097bffa0 · outbound

This paper cites an unresolved cited work.

Edge-based mean-field approximation of dynamics on networks via approximate lumping of Markov chains Unresolved cited work

Reference 4

Resolution: unresolved; no resolver link, observed 2026-07-12T09:52:00.514645Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8dd4fbdb-258c-4d1f-a70e-273d6e2cf330 · outbound

This paper cites an unresolved cited work.

Edge-based mean-field approximation of dynamics on networks via approximate lumping of Markov chains Unresolved cited work

Reference 5

Resolution: unresolved; no resolver link, observed 2026-07-12T09:52:00.514645Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 144b11dd-461a-46cd-bd13-23e2944b95f9 · outbound

This paper cites Leone, A.

Edge-based mean-field approximation of dynamics on networks via approximate lumping of Markov chains Leone, A

Reference 6

Resolution: unresolved; no resolver link, observed 2026-07-12T09:52:00.514645Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 091b2bde-acef-4391-a7cb-a70771296b93 · outbound

This paper cites an unresolved cited work.

Edge-based mean-field approximation of dynamics on networks via approximate lumping of Markov chains Unresolved cited work

Reference 7

Resolution: unresolved; no resolver link, observed 2026-07-12T09:52:00.514645Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 94c8e992-2bb5-4c69-8a00-da32aa6bea9e · outbound

This paper cites an unresolved cited work.

Edge-based mean-field approximation of dynamics on networks via approximate lumping of Markov chains Unresolved cited work

Reference 8

Resolution: unresolved; no resolver link, observed 2026-07-12T09:52:00.514645Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 09dc11fe-5236-49c0-bcd3-1938c46cc150 · outbound

This paper cites an unresolved cited work.

Edge-based mean-field approximation of dynamics on networks via approximate lumping of Markov chains Unresolved cited work

Reference 9

Resolution: unresolved; no resolver link, observed 2026-07-12T09:52:00.514645Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5c75a7d4-b57c-431b-a10f-aaaa369ae418 · outbound

This paper cites Sood and S.

Edge-based mean-field approximation of dynamics on networks via approximate lumping of Markov chains Sood and S

Reference 10

Resolution: unresolved; no resolver link, observed 2026-07-12T09:52:00.514645Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation da79ca98-483c-45fe-ac55-9ef66022873f · outbound

This paper cites Sznajd-Weron and J.

Edge-based mean-field approximation of dynamics on networks via approximate lumping of Markov chains Sznajd-Weron and J

Reference 11

Resolution: unresolved; no resolver link, observed 2026-07-12T09:52:00.514645Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 46fc98bb-98b6-4e82-a6e9-bbdc33c28a83 · outbound

This paper cites Pastor-Satorras, C.

Edge-based mean-field approximation of dynamics on networks via approximate lumping of Markov chains Pastor-Satorras, C

Reference 12

Resolution: unresolved; no resolver link, observed 2026-07-12T09:52:00.514645Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 15d8de99-c55b-4500-8d9e-590d721c404e · outbound

This paper cites an unresolved cited work.

Edge-based mean-field approximation of dynamics on networks via approximate lumping of Markov chains Unresolved cited work

Reference 13

Resolution: unresolved; no resolver link, observed 2026-07-12T09:52:00.514645Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c6840b80-397c-4253-85ba-9603b71a6386 · outbound

This paper cites an unresolved cited work.

Edge-based mean-field approximation of dynamics on networks via approximate lumping of Markov chains Unresolved cited work

Reference 14

Resolution: unresolved; no resolver link, observed 2026-07-12T09:52:00.514645Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fbdeb2ef-1866-409f-8827-8d93f567c7ce · outbound

This paper cites an unresolved cited work.

Edge-based mean-field approximation of dynamics on networks via approximate lumping of Markov chains Unresolved cited work

Reference 15

Resolution: unresolved; no resolver link, observed 2026-07-12T09:52:00.514645Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5ba32707-5865-41da-97da-a0939566df6d · outbound

This paper cites an unresolved cited work.

Edge-based mean-field approximation of dynamics on networks via approximate lumping of Markov chains Unresolved cited work

Reference 16

Resolution: unresolved; no resolver link, observed 2026-07-12T09:52:00.514645Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0b042353-7ae0-44f4-a4d8-02cf414a9d3f · outbound

This paper cites an unresolved cited work.

Edge-based mean-field approximation of dynamics on networks via approximate lumping of Markov chains Unresolved cited work

Reference 17

Resolution: unresolved; no resolver link, observed 2026-07-12T09:52:00.514645Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4f1f578c-1e2e-4e25-ae8b-afea1c4fbc93 · outbound

This paper cites House and M.

Edge-based mean-field approximation of dynamics on networks via approximate lumping of Markov chains House and M

Reference 18

Resolution: unresolved; no resolver link, observed 2026-07-12T09:52:00.514645Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 88aa3017-2685-4b2a-81cb-f534a59eec1d · outbound

This paper cites Taylor, P.

Edge-based mean-field approximation of dynamics on networks via approximate lumping of Markov chains Taylor, P

Reference 19

Resolution: unresolved; no resolver link, observed 2026-07-12T09:52:00.514645Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 789ca7e3-a04c-422a-983d-93e03249dec1 · outbound

This paper cites an unresolved cited work.

Edge-based mean-field approximation of dynamics on networks via approximate lumping of Markov chains Unresolved cited work

Reference 20

Resolution: unresolved; no resolver link, observed 2026-07-12T09:52:00.514645Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b386b4f0-8a39-4bc2-8bc2-2caf4e8d868e · outbound

This paper cites Karrer and M.

Edge-based mean-field approximation of dynamics on networks via approximate lumping of Markov chains Karrer and M

Reference 21

Resolution: unresolved; no resolver link, observed 2026-07-12T09:52:00.514645Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 48505d67-e890-4066-8c51-fbc498e94e9e · outbound

This paper cites an unresolved cited work.

Edge-based mean-field approximation of dynamics on networks via approximate lumping of Markov chains Unresolved cited work

Reference 22

Resolution: unresolved; no resolver link, observed 2026-07-12T09:52:00.514645Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2d858784-4b2a-470c-842a-307996545438 · outbound

This paper cites an unresolved cited work.

Edge-based mean-field approximation of dynamics on networks via approximate lumping of Markov chains Unresolved cited work

Reference 23

Resolution: unresolved; no resolver link, observed 2026-07-12T09:52:00.514645Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ca401bf0-9142-4aa2-ac92-785de1e02107 · outbound

This paper cites Exact Markovian SIR and SIS epidemics on networks and an upper bound for the epidemic threshold.

Edge-based mean-field approximation of dynamics on networks via approximate lumping of Markov chains Exact Markovian SIR and SIS epidemics on networks and an upper bound for the epidemic threshold

Reference 24

Resolution: unresolved; no resolver link, observed 2026-07-12T09:52:00.514645Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation dbc47715-1d9c-4ae1-b5b8-b45ede9678ad · outbound

This paper cites an unresolved cited work.

Edge-based mean-field approximation of dynamics on networks via approximate lumping of Markov chains Unresolved cited work

Reference 25

Resolution: unresolved; no resolver link, observed 2026-07-12T09:52:00.514645Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 47b953fc-6000-43cb-a747-2e19b4cde8f6 · outbound

This paper cites an unresolved cited work.

Edge-based mean-field approximation of dynamics on networks via approximate lumping of Markov chains Unresolved cited work

Reference 26

Resolution: unresolved; no resolver link, observed 2026-07-12T09:52:00.514645Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a57728cd-3d52-4f6b-a668-a717920b3827 · outbound

This paper cites an unresolved cited work.

Edge-based mean-field approximation of dynamics on networks via approximate lumping of Markov chains Unresolved cited work

Reference 27

Resolution: unresolved; no resolver link, observed 2026-07-12T09:52:00.514645Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e8e94fe0-2780-45fb-a8db-30f6c3aa8fb9 · outbound

This paper cites Buchholz.

Edge-based mean-field approximation of dynamics on networks via approximate lumping of Markov chains Buchholz

Reference 28

Resolution: unresolved; no resolver link, observed 2026-07-12T09:52:00.514645Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f7c82756-be11-4b5c-89f4-6b4195cf2562 · outbound

This paper cites an unresolved cited work.

Edge-based mean-field approximation of dynamics on networks via approximate lumping of Markov chains Unresolved cited work

Reference 29

Resolution: unresolved; no resolver link, observed 2026-07-12T09:52:00.514645Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fbb5f5cf-1489-4512-bede-de8d56223c93 · outbound

This paper cites an unresolved cited work.

Edge-based mean-field approximation of dynamics on networks via approximate lumping of Markov chains Unresolved cited work

Reference 30

Resolution: unresolved; no resolver link, observed 2026-07-12T09:52:00.514645Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 32790882-4036-45dc-b7e2-e8f6082158db · outbound

This paper cites an unresolved cited work.

Edge-based mean-field approximation of dynamics on networks via approximate lumping of Markov chains Unresolved cited work

Reference 31

Resolution: unresolved; no resolver link, observed 2026-07-12T09:52:00.514645Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 994e55e0-bacf-4103-8aa5-ffb8b35b42b2 · outbound

This paper cites Pastor-Satorras and A.

Edge-based mean-field approximation of dynamics on networks via approximate lumping of Markov chains Pastor-Satorras and A

Reference 32

Resolution: unresolved; no resolver link, observed 2026-07-12T09:52:00.514645Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5c6ffa74-aa16-4519-8b93-8bb438c33e8f · outbound

This paper cites Pastor-Satorras and A.

Edge-based mean-field approximation of dynamics on networks via approximate lumping of Markov chains Pastor-Satorras and A

Reference 33

Resolution: unresolved; no resolver link, observed 2026-07-12T09:52:00.514645Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7e510070-a398-4291-808e-838b762fc9f2 · outbound

This paper cites Moreno, R.

Edge-based mean-field approximation of dynamics on networks via approximate lumping of Markov chains Moreno, R

Reference 34

Resolution: unresolved; no resolver link, observed 2026-07-12T09:52:00.514645Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4f2f2c86-8081-47a4-8d4b-2b4c5dccc9f5 · outbound

This paper cites Van Mieghem, J.

Edge-based mean-field approximation of dynamics on networks via approximate lumping of Markov chains Van Mieghem, J

Reference 35

Resolution: unresolved; no resolver link, observed 2026-07-12T09:52:00.514645Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6b6ed8cd-3989-4935-bedd-453ce0c7daa9 · outbound

This paper cites an unresolved cited work.

Edge-based mean-field approximation of dynamics on networks via approximate lumping of Markov chains Unresolved cited work

Reference 36

Resolution: unresolved; no resolver link, observed 2026-07-12T09:52:00.514645Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f5332f59-092c-46c6-86fc-79a1f2137385 · outbound

This paper cites Youssef and C.

Edge-based mean-field approximation of dynamics on networks via approximate lumping of Markov chains Youssef and C

Reference 37

Resolution: unresolved; no resolver link, observed 2026-07-12T09:52:00.514645Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 95ee66d7-2960-4219-8035-42ca8c5ce370 · outbound

This paper cites an unresolved cited work.

Edge-based mean-field approximation of dynamics on networks via approximate lumping of Markov chains Unresolved cited work

Reference 38

Resolution: unresolved; no resolver link, observed 2026-07-12T09:52:00.514645Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 34aa8b99-e3d8-4edd-96cb-7aa870d6be19 · outbound

This paper cites an unresolved cited work.

Edge-based mean-field approximation of dynamics on networks via approximate lumping of Markov chains Unresolved cited work

Reference 39

Resolution: unresolved; no resolver link, observed 2026-07-12T09:52:00.514645Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 393820f7-56f7-421b-8f84-d96910a46159 · outbound

This paper cites an unresolved cited work.

Edge-based mean-field approximation of dynamics on networks via approximate lumping of Markov chains Unresolved cited work

Reference 40

Resolution: unresolved; no resolver link, observed 2026-07-12T09:52:00.514645Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1e0c9a05-82c7-42e3-8a5e-056870a90864 · outbound

This paper cites an unresolved cited work.

Edge-based mean-field approximation of dynamics on networks via approximate lumping of Markov chains Unresolved cited work

Reference 41

Resolution: unresolved; no resolver link, observed 2026-07-12T09:52:00.514645Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e977928e-8f62-44f3-b71e-084a66133115 · outbound

This paper cites Castellano, M.

Edge-based mean-field approximation of dynamics on networks via approximate lumping of Markov chains Castellano, M

Reference 42

Resolution: unresolved; no resolver link, observed 2026-07-12T09:52:00.514645Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 081f990c-4ed3-4e56-88e2-fc654dfc4449 · outbound

This paper cites an unresolved cited work.

Edge-based mean-field approximation of dynamics on networks via approximate lumping of Markov chains Unresolved cited work

Reference 43

Resolution: unresolved; no resolver link, observed 2026-07-12T09:52:00.514645Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1e3d547a-c6ee-4de0-aba8-8a282844ce92 · outbound

This paper cites an unresolved cited work.

Edge-based mean-field approximation of dynamics on networks via approximate lumping of Markov chains Unresolved cited work

Reference 44

Resolution: unresolved; no resolver link, observed 2026-07-12T09:52:00.514645Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bdbf94b0-1a5a-43aa-bef9-866e8939259f · outbound

This paper cites an unresolved cited work.

Edge-based mean-field approximation of dynamics on networks via approximate lumping of Markov chains Unresolved cited work

Reference 45

Resolution: unresolved; no resolver link, observed 2026-07-12T09:52:00.514645Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5a960d30-4b8e-4122-8c7e-6b4cd3b2c536 · outbound

This paper cites an unresolved cited work.

Edge-based mean-field approximation of dynamics on networks via approximate lumping of Markov chains Unresolved cited work

Reference 46

Resolution: unresolved; no resolver link, observed 2026-07-12T09:52:00.514645Z

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Unavailable: canonical work link unavailable.

Pith citing papers

No inbound Pith citation observations are available.