Paper Citation Record · LEDGER

Emergent heavy-tailed distributions from a Markovian random walk

As of 18 August 2026, this Paper Citation Record lists 40 of 40 outbound references and 1 inbound Pith citation observation for arXiv:2605.22933.

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

pith.paper-citation-record.v1
2605.22933 v1

Coverage vector

measured 40 of 40 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-05-25T05:44:46.906398Z

measured 41 of 41 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-07-01T07:30:39.732673Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: pith, observed 2026-07-01T07:35:28.927585Z

Reference resolution

40 of 40 outbound references displayed

verified exact0
verified fuzzy22
unresolved18
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation bfdf57b1-14b6-4fa0-a5fa-85848daa9ca1 · outbound

This paper cites an unresolved cited work.

Emergent heavy-tailed distributions from a Markovian random walk Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-05-25T05:46:41.322195Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 74ccc641-13a7-4ec7-bcd0-e809852e4b05 · outbound

This paper cites Chandrasekhar,Stochastic problems in physics and astronomy, Rev.

Emergent heavy-tailed distributions from a Markovian random walk Chandrasekhar,Stochastic problems in physics and astronomy, Rev

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-05-25T05:46:41.326336Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 7937f60e-d062-44ac-8b5a-d36d4ec3ba41 · outbound

This paper cites an unresolved cited work.

Emergent heavy-tailed distributions from a Markovian random walk Unresolved cited work

Reference 3

Resolution: unresolved; raw_fallback, observed 2026-05-25T05:46:41.300788Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation dd300818-91cf-413c-b901-efc09adb9009 · outbound

This paper cites an unresolved cited work.

Emergent heavy-tailed distributions from a Markovian random walk Unresolved cited work

Reference 4

Resolution: unresolved; raw_fallback, observed 2026-05-25T05:46:41.306035Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 5ead3985-8f60-4bc9-bfb8-57412fa4969d · outbound

This paper cites an unresolved cited work.

Emergent heavy-tailed distributions from a Markovian random walk Unresolved cited work

Reference 5

Resolution: unresolved; raw_fallback, observed 2026-05-25T05:46:41.310422Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 62937991-1370-405c-a2b6-b232c76f32dd · outbound

This paper cites an unresolved cited work.

Emergent heavy-tailed distributions from a Markovian random walk Unresolved cited work

Reference 6

Resolution: unresolved; raw_fallback, observed 2026-05-25T05:46:41.317799Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 0f4a0e60-9568-46b5-bfd1-3d479ecaffbb · outbound

This paper cites Pearson,The Problem of the Random Walk, Nature72(1865), 294 (1905).

Emergent heavy-tailed distributions from a Markovian random walk Pearson,The Problem of the Random Walk, Nature72(1865), 294 (1905)

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-05-25T05:46:41.278145Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation b2a6cda4-39d0-4056-ab04-3c30fa2317f0 · outbound

This paper cites Spitzer,Principles of Random Walk, 2nd ed.

Emergent heavy-tailed distributions from a Markovian random walk Spitzer,Principles of Random Walk, 2nd ed

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-05-25T05:46:41.429661Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 8f0df645-6562-4950-8fe8-b7804593c03b · outbound

This paper cites Feller,An Introduction to Probability Theory and Its Applications, Vol.

Emergent heavy-tailed distributions from a Markovian random walk Feller,An Introduction to Probability Theory and Its Applications, Vol

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-05-25T05:46:41.412071Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 1ba5e0ca-4161-4a9c-91d6-3dc90a08e02c · outbound

This paper cites Bouchaud and A.

Emergent heavy-tailed distributions from a Markovian random walk Bouchaud and A

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-05-25T05:46:41.415869Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation f3fe5e92-ef17-49f7-896b-7a2df04854cd · outbound

This paper cites Metzler and J.

Emergent heavy-tailed distributions from a Markovian random walk Metzler and J

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-05-25T05:46:41.419341Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation b6d8c2ce-1247-4b61-8779-947b0fa6d943 · outbound

This paper cites an unresolved cited work.

Emergent heavy-tailed distributions from a Markovian random walk Unresolved cited work

Reference 12

Resolution: unresolved; raw_fallback, observed 2026-05-25T05:46:41.407854Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 829ac3ec-9bb2-463d-a56f-8d9d9de5ad82 · outbound

This paper cites Beck and C.

Emergent heavy-tailed distributions from a Markovian random walk Beck and C

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-05-25T05:46:41.422818Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 25e52964-2ce0-4dd8-a952-6acdc8b25d68 · outbound

This paper cites an unresolved cited work.

Emergent heavy-tailed distributions from a Markovian random walk Unresolved cited work

Reference 14

Resolution: unresolved; raw_fallback, observed 2026-05-25T05:46:41.432813Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 03af0b0a-0426-4949-99f3-862c61abb7e0 · outbound

This paper cites an unresolved cited work.

Emergent heavy-tailed distributions from a Markovian random walk Unresolved cited work

Reference 15

Resolution: unresolved; raw_fallback, observed 2026-05-25T05:46:41.448998Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation afff472e-eefd-40e9-b099-7c75374b7d3c · outbound

This paper cites an unresolved cited work.

Emergent heavy-tailed distributions from a Markovian random walk Unresolved cited work

Reference 16

Resolution: unresolved; raw_fallback, observed 2026-05-25T05:46:41.390387Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation b05ff871-2798-46e0-a8f1-4626d106bed8 · outbound

This paper cites Zaburdaev, S.

Emergent heavy-tailed distributions from a Markovian random walk Zaburdaev, S

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-05-25T05:46:41.396380Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 6b210805-e9e0-4cc5-ac15-90bd1b3e2025 · outbound

This paper cites Tirnakli, H.

Emergent heavy-tailed distributions from a Markovian random walk Tirnakli, H

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-05-25T05:46:41.445716Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation b97ab848-6157-4ae3-92f9-848a4b3a8961 · outbound

This paper cites Hanel and S.

Emergent heavy-tailed distributions from a Markovian random walk Hanel and S

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-05-25T05:46:41.342288Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 8ed51929-4808-4f68-86df-3499c1c5a7ae · outbound

This paper cites an unresolved cited work.

Emergent heavy-tailed distributions from a Markovian random walk Unresolved cited work

Reference 20

Resolution: unresolved; raw_fallback, observed 2026-05-25T05:46:41.351606Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 403ba1e4-ba15-40b6-b329-ca7a716bfc88 · outbound

This paper cites Clauset, C.

Emergent heavy-tailed distributions from a Markovian random walk Clauset, C

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-05-25T05:46:41.355384Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 4d26cfbb-117f-4fe7-a410-fc5a7b590d7d · outbound

This paper cites Sornette,Critical Phenomena in Natural Sciences: Chaos, Fractals, Self-organization and Disorder: Concepts and Tools(Springer Science & Business Media, 2006).

Emergent heavy-tailed distributions from a Markovian random walk Sornette,Critical Phenomena in Natural Sciences: Chaos, Fractals, Self-organization and Disorder: Concepts and Tools(Springer Science & Business Media, 2006)

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-05-25T05:46:41.332838Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 956ea344-0ae4-4962-b012-4379887b75f2 · outbound

This paper cites an unresolved cited work.

Emergent heavy-tailed distributions from a Markovian random walk Unresolved cited work

Reference 23

Resolution: unresolved; raw_fallback, observed 2026-05-25T05:46:41.294052Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation f0eef07d-cad6-414f-8ec8-02f9c850981b · outbound

This paper cites an unresolved cited work.

Emergent heavy-tailed distributions from a Markovian random walk Unresolved cited work

Reference 24

Resolution: unresolved; raw_fallback, observed 2026-05-25T05:46:41.347431Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation bd128159-7f67-451a-921d-1c157edc63dd · outbound

This paper cites Havlin and D.

Emergent heavy-tailed distributions from a Markovian random walk Havlin and D

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-05-25T05:46:41.439560Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 174dd23a-1fe2-43be-b6f1-1632fb982415 · outbound

This paper cites B´ enichou and R.

Emergent heavy-tailed distributions from a Markovian random walk B´ enichou and R

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-05-25T05:46:41.442683Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation f6e8d8fa-1c1c-4582-8fd4-e9a547a41114 · outbound

This paper cites Bouchaud and M.

Emergent heavy-tailed distributions from a Markovian random walk Bouchaud and M

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-05-25T05:46:41.452338Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation fe6994e6-0be6-4cec-a080-22747c10fd74 · outbound

This paper cites an unresolved cited work.

Emergent heavy-tailed distributions from a Markovian random walk Unresolved cited work

Reference 28

Resolution: unresolved; raw_fallback, observed 2026-05-25T05:46:41.436197Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation b6938959-d88d-4294-b183-798c9765dfc6 · outbound

This paper cites Onsager and S.

Emergent heavy-tailed distributions from a Markovian random walk Onsager and S

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-05-25T05:46:41.400553Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation abce49c3-6550-4d36-8757-8c8d971344a5 · outbound

This paper cites Machlup and L.

Emergent heavy-tailed distributions from a Markovian random walk Machlup and L

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-05-25T05:46:41.404049Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 2f3ea6ef-4c47-4411-9d12-88e87c8736b0 · outbound

This paper cites an unresolved cited work.

Emergent heavy-tailed distributions from a Markovian random walk Unresolved cited work

Reference 31

Resolution: unresolved; raw_fallback, observed 2026-05-25T05:46:41.426237Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation fe556db8-60f6-4f03-a753-5ada70988fd2 · outbound

This paper cites Dr˘ agulescu and V.

Emergent heavy-tailed distributions from a Markovian random walk Dr˘ agulescu and V

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-05-25T05:46:41.455766Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation d40d2b2a-3531-4e8d-82ca-1181dc855cfd · outbound

This paper cites an unresolved cited work.

Emergent heavy-tailed distributions from a Markovian random walk Unresolved cited work

Reference 33

Resolution: unresolved; raw_fallback, observed 2026-05-25T05:46:41.380469Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation f65fa842-5205-4892-a281-3290e7aee63a · outbound

This paper cites an unresolved cited work.

Emergent heavy-tailed distributions from a Markovian random walk Unresolved cited work

Reference 34

Resolution: unresolved; raw_fallback, observed 2026-05-25T05:46:41.384365Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 364faa8b-8aec-4d58-8d30-62b413ec567f · outbound

This paper cites Pradhan, A.

Emergent heavy-tailed distributions from a Markovian random walk Pradhan, A

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-05-25T05:46:41.370546Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation cc70c487-84be-4a19-9967-5b7248a0d10c · outbound

This paper cites Camacho and R.

Emergent heavy-tailed distributions from a Markovian random walk Camacho and R

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-05-25T05:46:41.374511Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 27422e96-7515-4e3d-a6c0-f7ccdab4e697 · outbound

This paper cites Ferrer i Cancho and R.

Emergent heavy-tailed distributions from a Markovian random walk Ferrer i Cancho and R

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-05-25T05:46:41.364016Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 15a6647f-0d5a-49e7-8b46-77bc101837e6 · outbound

This paper cites Barab´ asi and R.

Emergent heavy-tailed distributions from a Markovian random walk Barab´ asi and R

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-05-25T05:46:41.360152Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 5c231edc-9aec-4b22-a918-167a0b5b519e · outbound

This paper cites an unresolved cited work.

Emergent heavy-tailed distributions from a Markovian random walk Unresolved cited work

Reference 39

Resolution: unresolved; raw_fallback, observed 2026-05-25T05:46:41.285342Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 555e107d-3d21-4b8d-b8ef-4a74b0a8ad87 · outbound

This paper cites an unresolved cited work.

Emergent heavy-tailed distributions from a Markovian random walk Unresolved cited work

Reference 40

Resolution: unresolved; raw_fallback, observed 2026-05-25T05:46:41.289762Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Pith citing papers

Observation a0f6eb56-5664-4827-b58d-93b9e35c3ae9 · inbound

Asymptotic hydrographs and anomalous dispersion in mass-conserving storage cascades cites this paper.

Asymptotic hydrographs and anomalous dispersion in mass-conserving storage cascades Emergent heavy-tailed distributions from a Markovian random walk

Reference 18

Resolution: verified exact; local_arxiv, observed 2026-07-01T07:35:28.928876Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.