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Paper Citation Record · LEDGER

Sandpile Models on complex networks

As of 23 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 2026-08-23T06:30:58.430688+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 2026-08-23T06:30:58.430688+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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-07-03T04:26:47.675279Z digest=sha256:9f9c08f653cd11bb4563207d71d7382811232505be2ea8752cdefa31687c8c32

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-07-03T04:26:47.675279Z digest=sha256:a533b8820c303aff0e0f249d09a2566b5fa2b653fe720c6c1a040b7c31c2b7ae

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-07-03T04:26:47.675279Z digest=sha256:052e5b4eca3514f5b81ce68f40713b7968519111c271d5c98a9d1dfea38e89a7

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-07-03T04:26:47.675279Z digest=sha256:d560394e5e973c8e0dfad16e6d36cbcc558f7f6323ec2fad1582912fe41c8ae5

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-07-03T04:26:47.675279Z digest=sha256:369855c49c9ab35d8915e6140e7c0bd6e99f43c9178ebb75439490d9b2aeb65e

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-07-03T04:26:47.675279Z digest=sha256:899a99d50946465c7f8f30f93fe251d36faea324ab6506b9f34aa89f6d3bc3d1

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-07-03T04:26:47.675279Z digest=sha256:dadbb7768f0c8135a1755946fbbc5288b2652dc47d119a552780487f9acc180f

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-07-03T04:26:47.675279Z digest=sha256:da860ac3445a1202259efd6fad23f972ece3892cd0feb91f3ae1d672b2a354b7

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-07-03T04:26:47.675279Z digest=sha256:e0e1b90dd5a0e2802998eda6d6c87c689ddcabb919ec0e8090b12ce4e427b84f

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-07-03T04:26:47.675279Z digest=sha256:790ab15e46e27bd7ff90084ce9593f25404e3b82161480a86235db882ae21e50

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-07-03T04:26:47.675279Z digest=sha256:07ddd5947fdc9a65f459b72300be9909cf29084bfcd8fa003a4ff766395c51b3

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-07-03T04:26:47.675279Z digest=sha256:39e3488fd45c3691b925800310a02d89a837d8ac65624b984771d289def79b87

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-07-03T04:26:47.675279Z digest=sha256:a4be3c05a90906ad24d9246f79ae7508869dd44b3c6d935186fae0b14b0e4d9e

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-07-03T04:26:47.675279Z digest=sha256:41e4f470283f3fdd92307a8afa74b02b919825eba7b632c16e824ffa1aa4bfbb

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-07-03T04:26:47.675279Z digest=sha256:914ee03cfdd2640a1184a76357fe5e7af2ef277d14a1ba02009e28f88b1ed671

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-07-03T04:26:47.675279Z digest=sha256:ff2b66032f15ea1fbb748a0f439933d5d5f4edb5df85ad8bc8c257d32e0d8323

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-07-03T04:26:47.675279Z digest=sha256:74a3af8886383d62bba60a7d2510b71856f6cb0b9e989c6aebfc4fd472dbc7d7

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-07-03T04:26:47.675279Z digest=sha256:efe3ae2de1bcd3b007688b5de420ba5f31be71e2199248090eb1791650c80e79

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-07-03T04:26:47.675279Z digest=sha256:be4defdd37ef14298d2544d1038d02d43a4374c3cde0b0f78d9b34ff3429a42d

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-07-03T04:26:47.675279Z digest=sha256:957330dff5d397b9ffeb1a9b3e1065ada5cd9fd56ee683c6aa92a7d69782c3d6

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-07-03T04:26:47.675279Z digest=sha256:f35e27cb5f75e235f4b6882371fd19ac25e6f4e8e8a8680aa1fcd7738180c12b

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-07-03T04:26:47.675279Z digest=sha256:0453a22a89f987572f5ba86c6b4beee98f452f8926328e1ceae0196a2f2a636d

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-07-03T04:26:47.675279Z digest=sha256:8d01c7751ab35f164be5c5ff16c142c359b4e81c2ba01841aafc99609311a1ed

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-07-03T04:26:47.675279Z digest=sha256:c41980ab6a5f19d47856b3d1b3e1ab95ccb8a2e06163fa8a182e8f2be46fc77b

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-07-03T04:26:47.675279Z digest=sha256:7f976289b915b130dce573667b7fa1014bbacf8d0f708a52965f4059efd29ace

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-07-03T04:26:47.675279Z digest=sha256:84aa5ac9b4a6a3c4199e03ea52adcab7b8f7b38143d222501abaaa207ff3e370

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-07-03T04:26:47.675279Z digest=sha256:9780d8d6155b60023b57b62215a13ddabb0b431b3cf4ac11f60924e32ea3a559

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-07-03T04:26:47.675279Z digest=sha256:9c17634f1eed8a9c9775c3c43498dcb5ad4f55ce4c52f1075752b8ef5455f877

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-07-03T04:26:47.675279Z digest=sha256:b484f614715eaa66a14b0f36857fe92cce20a349c9ae03bfbdde8b83c4dae550

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-07-03T04:26:47.675279Z digest=sha256:c21f015a444c6b5de918f8b450eb4b29dce758cc94b1acf68bf96149c4435261

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-07-03T04:26:47.675279Z digest=sha256:5829a926b85582d5e3b51bd6c281b1d6140b16245c962f2361148d839865d132

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-07-03T04:26:47.675279Z digest=sha256:1bda3d3d55225845f6bc42281d20e93f5d55b1a28e0c4bb776963865b3198c7b

Pith citing papers

No inbound Pith citation observations are available.