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Paper Citation Record · LEDGER

Random Walks and Electric Networks

As of 13 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 6 inbound Pith citation observations for arXiv:math/0001057.

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

pith.paper-citation-record.v1
math/0001057 v1

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 6 of 6 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+00:00

measured 6 of 6 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-07T22:16:12.884772Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-07-04T15:39:56.325534Z

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 6e84b3c8-07eb-467c-9c31-034b6bb85877 · inbound

Composing Quantum Algorithms cites this paper.

Composing Quantum Algorithms Random Walks and Electric Networks

Reference 10

Resolution
unresolved
no resolver link, observed 2026-08-07T22:16:12.884772Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T22:16:12.884772Z digest=sha256:554076857c45daf2a1cc0676f599665e12b1121b9a32b7054339f8b03378f432

Observation 401afaf6-bf0a-47b6-b299-e5c40f581752 · inbound

Thermodynamic geometry of friction on graphs: Resistance, commute times, and optimal transport cites this paper.

Thermodynamic geometry of friction on graphs: Resistance, commute times, and optimal transport Random Walks and Electric Networks

Reference 11

Resolution
unresolved
no resolver link, observed 2026-08-03T13:07:45.575527Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T13:07:45.575527Z digest=sha256:f57b18effaa889a9e84afaccadbe6f3174227a05b0e5461fbd22548354dc0d13

Observation 4a6d6254-8969-4667-879d-537733cbfa04 · inbound

Distance metric learning for conditional anomaly detection cites this paper.

Distance metric learning for conditional anomaly detection Random Walks and Electric Networks

Reference 80

Resolution
verified exact
arxiv_id, observed 2026-07-04T14:34:13.645555Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-05-09T20:29:57.980045Z digest=sha256:48c349cb9efb06db08a1a49dcfc0ff6075f7cbbe8a48558927cc87c50798b619

Observation 42bc6ef0-43d1-4478-a206-ec2dc9eced11 · inbound

Conditional anomaly detection methods for patient-management alert systems cites this paper.

Conditional anomaly detection methods for patient-management alert systems Random Walks and Electric Networks

Reference 80

Resolution
verified exact
arxiv_id, observed 2026-07-04T14:34:13.645555Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-05-12T05:03:29.654355Z digest=sha256:48dce15453d8074be7b5a058e2a8a058fa048473823a8247f3ad5f47e8864fea

Observation 01f96d7f-d838-4600-8b56-425ea8c317d1 · inbound

Lower overhead fault-tolerant building blocks for noisy quantum computers cites this paper.

Lower overhead fault-tolerant building blocks for noisy quantum computers Random Walks and Electric Networks

Reference 99

Resolution
verified exact
arxiv_id, observed 2026-07-04T14:34:13.645555Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-05-13T04:38:04.165728Z digest=sha256:f0e31223af30e5a3f5c8ff4edc5ce05a4dcacad1095648d3bc80574cb93a90e4

Observation 0d5338b7-1766-45ef-9ddf-d91b56144736 · inbound

Bounded Treewidth and Complete Monotonicity for Scott-Sokal Spanning-Tree Polynomials cites this paper.

Bounded Treewidth and Complete Monotonicity for Scott-Sokal Spanning-Tree Polynomials Random Walks and Electric Networks

Reference 8

Resolution
verified exact
local_arxiv, observed 2026-07-04T15:39:56.326697Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-06-26T01:33:57.897152Z digest=sha256:1f8b7ea472e497c9bc05cb9b021de214d7dcec2997c2b3e8f67c228c3e6dca0e