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Paper Citation Record · LEDGER

Sandpile Models on complex networks

As of 10 August 2026, this Paper Citation Record lists 33 of 33 outbound references and 0 inbound Pith citation observations for arXiv:2607.02023.

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

pith.paper-citation-record.v1
2607.02023 v1

Coverage vector

measured 33 of 33 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-07-03T04:26:47.675279Z

measured 33 of 33 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-09T06:31:02.800959+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

33 of 33 outbound references displayed

  • verified exact4
  • verified fuzzy17
  • unresolved12
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 1b52b7db-1001-475d-8ce5-18304ea565c5 · outbound

This paper cites 2.ψ(z)admits the following square-root singular expan- sion atz=ρ: ψ(z) =τ−γ r 1− z ρ +O 1− z ρ , γ= s 2ϕ(τ) ϕ′′(τ).

Sandpile Models on complex networks 2.ψ(z)admits the following square-root singular expan- sion atz=ρ: ψ(z) =τ−γ r 1− z ρ +O 1− z ρ , γ= s 2ϕ(τ) ϕ′′(τ)

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T14:41:09.833684Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

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Observation d6dd32a5-c5ad-4fd0-93d3-f92695f7a3d7 · outbound

This paper cites branches.

Sandpile Models on complex networks branches

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T14:41:09.856470Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-07-03T04:26:47.675279Z digest=sha256:bc1f043c4679de7b0957f9948eb413210132851df53f9ac1ff3904d9f0f93e05

Observation c5d94e78-14fe-4346-a619-312c9cac6366 · outbound

This paper cites an unresolved cited work.

Sandpile Models on complex networks Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-07-05T14:41:09.848951Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-07-03T04:26:47.675279Z digest=sha256:d2b6b9b5c6d8db3a898160ec787ba4016c3ca7b395e55b69f5d89493a82cb049

Observation 7b834ba3-6953-4260-9e86-d12b68b7fa38 · outbound

This paper cites an unresolved cited work.

Sandpile Models on complex networks Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-07-05T14:41:09.873237Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-07-03T04:26:47.675279Z digest=sha256:2b0c47c1e2fc61eb05caf25e9610367102a82355002d1db78584d0e7f3cf21e0

Observation adbc068b-4297-465e-ad9d-cf4c1a9137f1 · outbound

This paper cites an unresolved cited work.

Sandpile Models on complex networks Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-07-05T14:41:09.869427Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-07-03T04:26:47.675279Z digest=sha256:86ff209fd3341c4a4ce7fd6bd2830f60223b98e661abc80f4e53ac135e4b36e1

Observation 6056d84f-fcd5-4465-bcfe-f6251d94eafc · outbound

This paper cites Statistical mechanics of complex networks.

Sandpile Models on complex networks Statistical mechanics of complex networks

Reference 6

Resolution
verified exact
local_arxiv, observed 2026-07-03T04:27:36.125060Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-07-03T04:26:47.675279Z digest=sha256:fe8fc28ab82ea55a444df1131516fc5f60b1991375663f38ec6c577a2b21a276

Observation 286eb598-87c5-4b93-aebc-6b6211bd1e14 · outbound

This paper cites an unresolved cited work.

Sandpile Models on complex networks Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-07-05T14:41:09.825235Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-07-03T04:26:47.675279Z digest=sha256:e57b21050fa7f38503ff856c191f8ec025dd7b6ea41123ee553abf6a8b6951a5

Observation 78ea882b-70fd-4e1e-aad3-d49d433b2cd6 · outbound

This paper cites Barrat, M.

Sandpile Models on complex networks Barrat, M

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T14:41:09.852541Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-07-03T04:26:47.675279Z digest=sha256:d73b40580623cdcc69026f6cae03c98a733e809f16f34be7fe17e16e44432a0a

Observation 47678f48-56db-450c-91e8-89850e18bee4 · outbound

This paper cites Newman,Networks: An Introduction(Oxford Univer- sity Press, Oxford, 2010).

Sandpile Models on complex networks Newman,Networks: An Introduction(Oxford Univer- sity Press, Oxford, 2010)

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T14:41:09.841105Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-07-03T04:26:47.675279Z digest=sha256:d838be29e91ebf1b638d66eb15eb46729e326957bc11ad707c9ea86f1be6b141

Observation 79b71e6a-74be-4808-b3e9-8920ca38f3cc · outbound

This paper cites an unresolved cited work.

Sandpile Models on complex networks Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-07-05T14:41:09.861748Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-07-03T04:26:47.675279Z digest=sha256:e5d3f7a1431391d3f388fa0cb8de0e1df8d9b17ffc988219d74233d572d39c5b

Observation 42b1550d-40b9-4d76-b9dc-1fe07ab9afea · outbound

This paper cites Self-organized branching processes: Avalanche models with dissipation.

Sandpile Models on complex networks Self-organized branching processes: Avalanche models with dissipation

Reference 11

Resolution
verified exact
local_arxiv, observed 2026-07-03T04:27:36.126841Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-07-03T04:26:47.675279Z digest=sha256:8ea4fc8c96fbeb726905c5bcd1b01f9a4a43463c0e36e9b28fd36821d97303f2

Observation c0e1762d-3dd9-4bd9-9395-2266f5fd63a2 · outbound

This paper cites Bonabeau, Journal of the Physical Society of Japan64, 327 (1995).

Sandpile Models on complex networks Bonabeau, Journal of the Physical Society of Japan64, 327 (1995)

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T14:41:09.835626Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-07-03T04:26:47.675279Z digest=sha256:d43f703df3d05d42fd98c22060605c345daeff047ac2c0b6215ab7ae30745114

Observation caafd95c-02bd-4d9d-8170-c388c430cb6a · outbound

This paper cites Dhar and S.

Sandpile Models on complex networks Dhar and S

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T14:41:09.829232Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-07-03T04:26:47.675279Z digest=sha256:5e4d2a48f36f2cc52ab753274dbcb05631a611a609d17a00f492d31a86960a87

Observation c0865151-eb13-43b3-a3ce-a4af75c33510 · outbound

This paper cites Goh, D.-S.

Sandpile Models on complex networks Goh, D.-S

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T14:41:09.875489Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-07-03T04:26:47.675279Z digest=sha256:a98db9b036b0d62bf81883a033f95077b7a66c1a6c48f31dedb91867a8761ab2

Observation 412d0924-92ff-417b-ad25-9b90f4bf95bd · outbound

This paper cites Lee, K.-I.

Sandpile Models on complex networks Lee, K.-I

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T14:41:09.850696Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-07-03T04:26:47.675279Z digest=sha256:a67e1566aff5947100247b0c447928855c0055903742e06f4088102fa9005315

Observation f6000ec1-7e3b-4cf0-877b-0b0667098032 · outbound

This paper cites Sandpile avalanche dynamics on scale-free networks.

Sandpile Models on complex networks Sandpile avalanche dynamics on scale-free networks

Reference 16

Resolution
verified exact
local_arxiv, observed 2026-07-03T04:27:36.129506Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-07-03T04:26:47.675279Z digest=sha256:b3a812b5c0cdd9120bb8e6807af53bcc62ad48bfabfde18cbb815db0d1392f05

Observation 2410ce13-4b08-4c46-aa1b-35822bb5efa8 · outbound

This paper cites Flajolet and R.

Sandpile Models on complex networks Flajolet and R

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T14:41:09.854623Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-07-03T04:26:47.675279Z digest=sha256:095dd340135bdf29cc235c3df3cab6eda35ae6150b9b3a70cecb7a5daf7865e7

Observation 126fb490-b7d0-4ab0-8c85-3b8c11f02f86 · outbound

This paper cites Alstott, powerlaw: A python package for analysis of heavy-tailed distributions (2014).

Sandpile Models on complex networks Alstott, powerlaw: A python package for analysis of heavy-tailed distributions (2014)

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T14:41:09.865589Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-07-03T04:26:47.675279Z digest=sha256:1930ae9f5a7b054b58e7cb7a5199fed08d14d12b57a61361683742a5b80b9b37

Observation eda5e8ba-db3e-4674-97d6-a000a3ffc64e · outbound

This paper cites Clauset, C.

Sandpile Models on complex networks Clauset, C

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T14:41:09.844522Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-07-03T04:26:47.675279Z digest=sha256:b4251000cd197f1d3b5d7746186b519dbab63c2a6ac0284634f857c041ae53c7

Observation ee971bac-d01b-4c22-9fa9-56cac0e25e62 · outbound

This paper cites Virkar and A.

Sandpile Models on complex networks Virkar and A

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T14:41:09.847110Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-07-03T04:26:47.675279Z digest=sha256:879bcf771b9768877cc9cfc8ae7a1c57757f6f7810edcb5d07a7e4963ae0623f

Observation 19ceeb8a-f598-4360-abf6-1adefc9193b4 · outbound

This paper cites an unresolved cited work.

Sandpile Models on complex networks Unresolved cited work

Reference 21

Resolution
unresolved
raw_fallback, observed 2026-07-05T14:41:09.842754Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-07-03T04:26:47.675279Z digest=sha256:bc17a4eb238a1ada3abc669b2755304fba3ca797c78caa33a07453ce1221cc60

Observation c8d31376-95f9-4d37-87c5-333369dfd09d · outbound

This paper cites an unresolved cited work.

Sandpile Models on complex networks Unresolved cited work

Reference 22

Resolution
unresolved
raw_fallback, observed 2026-07-05T14:41:09.827285Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-07-03T04:26:47.675279Z digest=sha256:e9b92ceb437f09e72674f6210aada3fb2816acc595bbe1b28f22752633d9354b

Observation 0f8a42a7-8c50-4890-bf98-ced99914f691 · outbound

This paper cites an unresolved cited work.

Sandpile Models on complex networks Unresolved cited work

Reference 23

Resolution
unresolved
raw_fallback, observed 2026-07-05T14:41:09.837458Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-07-03T04:26:47.675279Z digest=sha256:4b18ec114011bc04e8bb2aa1faf46f4817ea7ae239cddd7378cd298cc1d25870

Observation be67727a-9d06-4fb1-afed-8f9b802098f6 · outbound

This paper cites an unresolved cited work.

Sandpile Models on complex networks Unresolved cited work

Reference 24

Resolution
unresolved
raw_fallback, observed 2026-07-05T14:41:09.860118Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-07-03T04:26:47.675279Z digest=sha256:544b0bcbc5d2004eaa98e0deb8c9034b2e86593fde6934369e9e71eca4ecae50

Observation 4fdd6994-1c06-4d02-b2af-f8d47c91ee79 · outbound

This paper cites Barabàsi and R.

Sandpile Models on complex networks Barabàsi and R

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T14:41:09.831112Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-07-03T04:26:47.675279Z digest=sha256:dd3fd478cdc7959fbd88d51d46df13ce1829a27ffc0c1074d71f55686875fd06

Observation bba0cc27-1425-4106-ad9c-34a7edc0685c · outbound

This paper cites an unresolved cited work.

Sandpile Models on complex networks Unresolved cited work

Reference 26

Resolution
unresolved
raw_fallback, observed 2026-07-05T14:41:09.839110Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-07-03T04:26:47.675279Z digest=sha256:a6be8c0f8e425b10d60c3c5a9c100fb7ecb063205b14dd86db5f772660d5e7a8

Observation abb47b77-49fe-4700-8220-9ed575bdf24d · outbound

This paper cites an unresolved cited work.

Sandpile Models on complex networks Unresolved cited work

Reference 27

Resolution
unresolved
raw_fallback, observed 2026-07-05T14:41:09.879890Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-07-03T04:26:47.675279Z digest=sha256:47140cb63bcfdbe9b24b91e6ada12a50be7ed806330ce98570732499762d233d

Observation 747fdd45-403b-4417-8452-3e8eebf1b56a · outbound

This paper cites Flajolet and A.

Sandpile Models on complex networks Flajolet and A

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T14:41:09.871364Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-07-03T04:26:47.675279Z digest=sha256:a2bda108c5d8e5ae235ca808aec43a64fdc1563f076c1427f5faae53f55be9ee

Observation e0a4fb4e-d296-4903-ae97-dd89bc862dcf · outbound

This paper cites an unresolved cited work.

Sandpile Models on complex networks Unresolved cited work

Reference 29

Resolution
unresolved
raw_fallback, observed 2026-07-05T14:41:09.863382Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-07-03T04:26:47.675279Z digest=sha256:faa7ec642d762ab01f976a83d8677a5e60d334b9cd065d7b4eed7d968c002473

Observation 5fdeebb8-62c2-4ccd-aafa-f39fbaa96e7c · outbound

This paper cites Erdõs and A.

Sandpile Models on complex networks Erdõs and A

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T14:41:09.877641Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-07-03T04:26:47.675279Z digest=sha256:d993f12c2dbc762b976d781bcbb1bba008bd9fe5b6f08ba080302d009ab6d3f9

Observation da177c6f-d5c9-4f95-8986-d08130a0a244 · outbound

This paper cites Mckay and N.

Sandpile Models on complex networks Mckay and N

Reference 31

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T14:41:09.867505Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-07-03T04:26:47.675279Z digest=sha256:348784ad64fda24ea0c276f3cd75adb33049a810ad154f0b82eaba35082a1dce

Observation 70d25a9d-0c07-4b2d-a165-d8bac1465bc7 · outbound

This paper cites Holme and B.

Sandpile Models on complex networks Holme and B

Reference 32

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T14:41:09.858233Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-07-03T04:26:47.675279Z digest=sha256:02cbd894f473f165ba2e9c04abcf7282aa38ca073d2e8cf577b19d3dd909f560

Observation b72037a1-5c72-4cd9-85ce-992689db7b85 · outbound

This paper cites Dragon kings in self-organized criticality systems.

Sandpile Models on complex networks Dragon kings in self-organized criticality systems

Reference 33

Resolution
verified exact
arxiv_id, observed 2026-07-03T04:27:36.123957Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-07-03T04:26:47.675279Z digest=sha256:bb18b3e528b26b40c778cf36a0b80ca5cc753701c172c9d201ed660a173c8967

Pith citing papers

No inbound Pith citation observations are available.