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Paper Citation Record · LEDGER

Criticality of the abelian sandpile in dimension 1

As of 23 August 2026, this Paper Citation Record lists 6 of 6 outbound references and 0 inbound Pith citation observations for arXiv:2509.03697.

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

pith.paper-citation-record.v1
2509.03697 v1

Coverage vector

measured 6 of 6 reference resolution

Typed states for the displayed outbound observations.

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

measured 6 of 6 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

6 of 6 outbound references displayed

  • verified exact2
  • verified fuzzy2
  • unresolved2
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 185046b0-90e5-4d12-9910-3b4b7e993971 · outbound

This paper cites Bak, P., Tang, C. & Wiesenfeld, K. Self- organized criticality: An explanation of 1/f noise. Phys. Rev. Lett. 59, 381-384.

Criticality of the abelian sandpile in dimension 1 Bak, P., Tang, C. & Wiesenfeld, K. Self- organized criticality: An explanation of 1/f noise. Phys. Rev. Lett. 59, 381-384

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-15T16:40:58.265951Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T16:40:58.265951Z digest=sha256:d415af374c467a51ab172eb2f8983e6541e77ae5bf7f6e34ff2151df623648ff

Observation 2f5b9070-0a7b-40e9-b73b-8ae4b346119f · outbound

This paper cites The Abelian sandpile and related models.

Criticality of the abelian sandpile in dimension 1 The Abelian sandpile and related models

Reference 2

Resolution
verified exact
doi, observed 2026-08-15T16:40:58.365052Z

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=2026-08-15T16:40:58.274455Z digest=sha256:73a0b3f51098fccae4e7c7229364e09273fa8b467a06c8e59c0641e3812607f7

Observation 60d4e50a-3e78-4b00-aa3a-033b904f632e · outbound

This paper cites The Abelian sandpile; a mathe- matical introduction.

Criticality of the abelian sandpile in dimension 1 The Abelian sandpile; a mathe- matical introduction

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T16:40:58.461448Z

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=2026-08-15T16:40:58.281045Z digest=sha256:2d6ac7b19ed72be694fe001bd99405e60860e4f80d94474066df6d1e52e44a3b

Observation 496c83c1-4c5c-4d0b-927d-20b49050da14 · outbound

This paper cites Sandpile models.

Criticality of the abelian sandpile in dimension 1 Sandpile models

Reference 4

Resolution
unresolved
no resolver link, observed 2026-08-15T16:40:58.287591Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T16:40:58.287591Z digest=sha256:d53d27fae02d9326ef6c5d3417e2d6514e9f87abb30b3f76d1282093f47878bc

Observation 03724437-a2e2-4d1f-9ba3-9907d6c52c70 · outbound

This paper cites Non-criticality criteria for Abelian sandpile models with sources and sinks.

Criticality of the abelian sandpile in dimension 1 Non-criticality criteria for Abelian sandpile models with sources and sinks

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T16:40:58.440826Z

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=2026-08-15T16:40:58.294132Z digest=sha256:e0bd0eb4b25b8daf5439c59c36d12bd39030ccd91c231088d399b75e95be3a7a

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

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

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

source=pdf_text observed=2026-08-15T16:40:58.300673Z digest=sha256:eaf21fb4b63b37613a6f3735d16e814728bae04e334c105079bafc4e9538f6ef

Pith citing papers

No inbound Pith citation observations are available.