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Paper Citation Record · LEDGER

Random walks in a field of soft traps and criticality for the dissipative Abelian Sandpile Model

As of 15 August 2026, this Paper Citation Record lists 7 of 7 outbound references and 1 inbound Pith citation observation for arXiv:2507.00562.

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

pith.paper-citation-record.v1
2507.00562 v2

Coverage vector

measured 7 of 7 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T21:30:26.670606Z

measured 8 of 8 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-15T06:32:42.880941+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-15T16:40:58.300673Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-15T16:40:58.410574Z

Reference resolution

7 of 7 outbound references displayed

  • verified exact0
  • verified fuzzy7
  • unresolved0
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 2b437e8b-ae3d-4f77-acae-11a60f0178d3 · outbound

This paper cites Self-organized criticality: An explanation of the 1/f noise.

Random walks in a field of soft traps and criticality for the dissipative Abelian Sandpile Model Self-organized criticality: An explanation of the 1/f noise

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T21:30:27.830518Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-06T21:30:26.098619Z digest=sha256:800fc603180fe9c3920d12baa18c434e6072094b384db0d876c69076450c6a23

Observation cdb430a3-010d-4e0d-9cf7-c7d1c420c33d · outbound

This paper cites The abelian sandpile and related models.

Random walks in a field of soft traps and criticality for the dissipative Abelian Sandpile Model The abelian sandpile and related models

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T21:30:27.686169Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-06T21:30:26.194653Z digest=sha256:33aedae1e618ec595767f7f9cf68e6de731dd4cf7ab9a959c4232742c61287e7

Observation 7e1d84d5-ab95-49d0-ad92-a1a290c76654 · outbound

This paper cites Proof of breaking of self-organized criticality in a nonconservative abelian sandpile model.

Random walks in a field of soft traps and criticality for the dissipative Abelian Sandpile Model Proof of breaking of self-organized criticality in a nonconservative abelian sandpile model

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T21:30:27.530011Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-06T21:30:26.273557Z digest=sha256:433f4b13708f44725e80cbe6a2175ed464e1bca987602cd367a6e4d26595f2fd

Observation f798963a-8b13-4fcd-aece-c07747f1ec69 · outbound

This paper cites The infinite volume limit of dissipative abelian sandpiles.

Random walks in a field of soft traps and criticality for the dissipative Abelian Sandpile Model The infinite volume limit of dissipative abelian sandpiles

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T21:30:27.392817Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-06T21:30:26.379676Z digest=sha256:3d5ccd2640af60fe8cb3583f9069bcc431ecabc88f05e16b0fd2c421365ad5f6

Observation 0d50e886-2d50-43e8-8ac2-fbfdaa05a4df · outbound

This paper cites Approaching criticality via the zero dissipation limit in the abelian avalanche model.

Random walks in a field of soft traps and criticality for the dissipative Abelian Sandpile Model Approaching criticality via the zero dissipation limit in the abelian avalanche model

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T21:30:27.248975Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-06T21:30:26.500474Z digest=sha256:4aeab296312d8b8c3447541add29ba138ba338d1b5a0efe236c2d248466e9e4b

Observation a9d6aa0c-3573-4ee6-8040-152cb83623a7 · outbound

This paper cites Ruszel, and Ellen Saada.

Random walks in a field of soft traps and criticality for the dissipative Abelian Sandpile Model Ruszel, and Ellen Saada

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T21:30:27.086209Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-06T21:30:26.590066Z digest=sha256:697de93827fb966c142c29e1a68522191871b38d5c31c1fcd38949b678a45c17

Observation ba67fa63-445d-48d2-b22f-9d3f1c463de3 · outbound

This paper cites Criticality of the abelian sandpile in dimension 1.

Random walks in a field of soft traps and criticality for the dissipative Abelian Sandpile Model Criticality of the abelian sandpile in dimension 1

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T21:30:26.909044Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-06T21:30:26.670606Z digest=sha256:cd12e4ca3f5313eec944e4179930728b25058fb7c1e977cfc3709fd60fbd217d

Pith citing papers

Observation 51d7c8c5-6ea9-4ed2-ae8d-727439b0911b · inbound

Criticality of the abelian sandpile in dimension 1 cites this paper.

Criticality of the abelian sandpile in dimension 1 Random walks in a field of soft traps and criticality for the dissipative Abelian Sandpile Model

Reference 6

Resolution
verified exact
local_arxiv, observed 2026-08-15T16:40:58.417319Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-15T16:40:58.300673Z digest=sha256:2c58481f068f1d3b238b1e4e5c7173f1a46766fb44428e987cfc73958cebc142