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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 2026-08-10T06:31:04.303077+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 2026-08-10T06:31:04.303077+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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-07-03T04:26:47.675279Z digest=sha256:12b5b8287552e4928e893d2d6783e6b2939f673c0c6b4fd16ed0c42a9a2d2ad0

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-07-03T04:26:47.675279Z digest=sha256:728cccdd8f540222be7c1a99a3bc1d9aa1036f2199a2f6f4950cb23d36f1a557

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-07-03T04:26:47.675279Z digest=sha256:071068c434318a32227f0450943fc415c8d666442e16f5235486ad9aa640429c

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-07-03T04:26:47.675279Z digest=sha256:cf07c8d0bb41e914b3b9d1b28d5fa25bfb9bd0f38246bbc0b6d14461c7ee1b37

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-07-03T04:26:47.675279Z digest=sha256:07ff9b494a7fd79ece23c06a1425d904726799be79730ddf8371e044b4abe9e1

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-07-03T04:26:47.675279Z digest=sha256:718a3a247dadb6e757fe9ec7814814d5ad9fc5f3460d31fb80b7b7bddd71948c

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-07-03T04:26:47.675279Z digest=sha256:f47f78943c1cec977aeb88be5194130cd4c2a433c6358fa72dbba2a65f20a9df

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-07-03T04:26:47.675279Z digest=sha256:7af70a1c41143bc1bcda379140fb0637a467d3eb68d001983f64978b1da4ebd6

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-07-03T04:26:47.675279Z digest=sha256:99388cd3db1f9bd089617d93ca3c579332d6ea4883e1798ea76196dcbc3fd9d0

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-07-03T04:26:47.675279Z digest=sha256:e9281a8b78c4547808718878aa7f7c5fec2acab48c36326f44447b7055b3f0b5

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-07-03T04:26:47.675279Z digest=sha256:8a09bbef12d628a8f9807e37db1a6c892a8c14fdf93093cd11f6f0ae5ef527bf

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-07-03T04:26:47.675279Z digest=sha256:fcfcc44ebb0fb7d26b59bd5fac684aa59e6219a5383cc6ff30cb09cd31e218b3

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-07-03T04:26:47.675279Z digest=sha256:7d1d56843c5163bee467a21144307331d15a2abaa1461f1c80adfa979920db79

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-07-03T04:26:47.675279Z digest=sha256:a22c7fa0e4313bb49a80776bc422de568d0704436f4959c05e329570b6b89c83

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-07-03T04:26:47.675279Z digest=sha256:38ca20332143ee00bced7032fa960139f29678382af0f6b86a50d9b98097a71e

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-07-03T04:26:47.675279Z digest=sha256:54a94fb997c3e9a467534edda3c2f1f748894cce75ba11ec3a4d1618174cd0c8

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-07-03T04:26:47.675279Z digest=sha256:f649e23b7c4c097f977fcc3d93e04b475a8e054ffd9bc450a9bbc646fdceb7f7

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-07-03T04:26:47.675279Z digest=sha256:fe3cb057a1ca59d180e86819d16bd7aed5288ae14f4784bc0843b5e2d6eea026

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-07-03T04:26:47.675279Z digest=sha256:ba22ea10dee6224b3e609a7967171ca509648c3f460beb8962a4a8a6f9a263cb

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-07-03T04:26:47.675279Z digest=sha256:87b480e8636bf4b823e44faf556aac718a4a6bb011ff8fb59d2c7826fdbd3c67

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-07-03T04:26:47.675279Z digest=sha256:481beb857ab786e7ec22bf90c8eda20114067654ed2403166bc4cc43968e25eb

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-07-03T04:26:47.675279Z digest=sha256:95af68da3a3f09b9aa10ad98b5a07b8940c968a844e2690ec4b748d6e530f395

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-07-03T04:26:47.675279Z digest=sha256:56c6ef09f7ef6ddaacae826503b41403a1b385508755d987653e5652b721f720

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-07-03T04:26:47.675279Z digest=sha256:b06f138bc87761c041e6ef0f038bdd2a12f45988406f57c311bc0b2499d9edf8

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-07-03T04:26:47.675279Z digest=sha256:2af33f06638c6134da3cbf881f73e1c865c5555f91a87d866c7fe3de3b7cef09

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-07-03T04:26:47.675279Z digest=sha256:905659ccf86464d6c54280a8e2aabd4bffc63a6a393f80f2150e71082ac1a1b6

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-07-03T04:26:47.675279Z digest=sha256:23b428cebd37b7df533873ef4d4092b31037a64530ef68ba9523256e51d0356c

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-07-03T04:26:47.675279Z digest=sha256:3852530fefc586d3940ca2bb143ddf84d8ed6739479e7fb9e5810ac34cc19fe2

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-07-03T04:26:47.675279Z digest=sha256:846e9a650fd1e45b6d0e48923a99597f1a54db69413c56bab6ccc7eddc8b4141

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-07-03T04:26:47.675279Z digest=sha256:c0991b95b23862bed1eb6a299fc410adaf22fb74022286b16393467a11fcdaf9

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-07-03T04:26:47.675279Z digest=sha256:cb3b7de6f351bb41035deb913bf90d1f7c2bba94fe7aae9c8695d03b7f7b515f

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-07-03T04:26:47.675279Z digest=sha256:e3e858434f24fd783c9c3adcdbc8a8b26209ae8cba501bb3b73e4fc2e3f740bd

Pith citing papers

No inbound Pith citation observations are available.