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Paper Citation Record · LEDGER

Recurrence of Simple Random Walk on $Z^2$ is Dynamically Sensitive

As of 17 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 1 inbound Pith citation observation for arXiv:math/0503065.

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

pith.paper-citation-record.v1
math/0503065 v1

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 1 of 1 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-17T06:30:58.91139+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-14T12:00:15.606514Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-14T12:00:15.769039Z

Reference resolution

0 of 0 outbound references displayed

  • verified exact0
  • verified fuzzy0
  • unresolved0
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

No outbound reference observations are available for this paper version.

Pith citing papers

Observation fb65d757-5351-49f2-b9b6-f3627b213d0d · inbound

Noise sensitivity and exceptional times of transience for a simple symmetric random walk in one dimension cites this paper.

Noise sensitivity and exceptional times of transience for a simple symmetric random walk in one dimension Recurrence of Simple Random Walk on $Z^2$ is Dynamically Sensitive

Reference 14

Resolution
verified exact
local_arxiv, observed 2026-08-14T12:00:15.774579Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-14T12:00:15.606514Z digest=sha256:dbcf4b5185d00a79ae99c3efeddba288be64e48f3e2ce6f1eaf1813902dfce80