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Paper Citation Record · LEDGER

Effective resistance in planar graphs and continued fractions

As of 20 August 2026, this Paper Citation Record lists 23 of 23 outbound references and 2 inbound Pith citation observations for arXiv:2505.19168.

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

pith.paper-citation-record.v1
2505.19168 v1

Coverage vector

measured 23 of 23 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T14:30:34.379047Z

measured 25 of 25 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-20T06:33:59.587034+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-07-14T21:30:23.329885Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-10T02:53:29.708066Z

Reference resolution

23 of 23 outbound references displayed

  • verified exact0
  • verified fuzzy13
  • unresolved10
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 21070c03-4bc9-43ab-a63f-8833c3fca077 · outbound

This paper cites The spanning tree spectrum: improved bounds and simple proofs.

Effective resistance in planar graphs and continued fractions The spanning tree spectrum: improved bounds and simple proofs

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-07T14:30:32.519252Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T14:30:32.519252Z digest=sha256:4e9867750c7ccf38526510b996a180839dee26668ac1282384bd229d29baaa4a

Observation 7f5f4ef4-ab65-4c77-ae98-de58e65a31b2 · outbound

This paper cites an unresolved cited work.

Effective resistance in planar graphs and continued fractions Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-07T14:30:38.017549Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation 6fcb2e17-86fa-4228-92e8-28f9097e01cb · outbound

This paper cites an unresolved cited work.

Effective resistance in planar graphs and continued fractions Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-07T14:30:37.891281Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-07T14:30:32.647134Z digest=sha256:bf475b876c7b711feb193fa0d6432079974af7dee69e77bd1f01cfe8d15d6528

Observation c8f96dcd-c1ed-4673-a3cc-a40e79d9e4e0 · outbound

This paper cites 180 (2014), 137--196.

Effective resistance in planar graphs and continued fractions 180 (2014), 137--196

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:30:37.772543Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-07T14:30:32.723083Z digest=sha256:3e1a4ca06ddddc579d1115d2e507914e8e635b9fc8cb4d3b14d6c71a2acf9ba4

Observation 9c059310-9fd5-4c18-8133-d7154a138526 · outbound

This paper cites an unresolved cited work.

Effective resistance in planar graphs and continued fractions Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-08-07T14:30:37.606291Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-07T14:30:32.815274Z digest=sha256:e57332aef72c2ff36f89ddddb7b383764841e99b110e41e40bdaafd041c91d80

Observation 156792a8-1129-40e4-85d0-5bded47f2ef1 · outbound

This paper cites Spanning trees and continued fractions.

Effective resistance in planar graphs and continued fractions Spanning trees and continued fractions

Reference 6

Resolution
unresolved
no resolver link, observed 2026-08-07T14:30:32.909884Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T14:30:32.909884Z digest=sha256:e9ac89fec230bde6a43e0f173811d1feaae15851061ecb873f38323b982e6824

Observation b89477a9-accf-4b9f-b802-1e3360ae9cab · outbound

This paper cites 1015 (2024), Paper No.

Effective resistance in planar graphs and continued fractions 1015 (2024), Paper No

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:30:37.451617Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-07T14:30:33.029151Z digest=sha256:2fc3e04dce62bcef760879d30d5b4660be185f96d95098af7a8ae39b8e79244e

Observation 69b85be5-687b-4ab7-8409-49de851f0257 · outbound

This paper cites 122 (2024), 104018, 14 pp.

Effective resistance in planar graphs and continued fractions 122 (2024), 104018, 14 pp

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:30:37.235228Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-07T14:30:33.104279Z digest=sha256:6e9fa6faa0d1dc15c378d380a05672d8de175c51ffa4ff6d3e5dc7268f68535b

Observation 12ac985b-31fa-4e16-badb-1cd515bd3ce6 · outbound

This paper cites Equality cases of the Stanley--Yan log-concave matroid inequality.

Effective resistance in planar graphs and continued fractions Equality cases of the Stanley--Yan log-concave matroid inequality

Reference 9

Resolution
unresolved
no resolver link, observed 2026-08-07T14:30:33.189365Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T14:30:33.189365Z digest=sha256:c4753e85bfca0c69372375bfa760779e5ee71c05243248b636d48368ae532560

Observation 59ec59ee-7fcf-4f22-94cc-1a21ee1b1c0d · outbound

This paper cites Chandra, Prabhakar Raghavan, Walter L.

Effective resistance in planar graphs and continued fractions Chandra, Prabhakar Raghavan, Walter L

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:30:36.967654Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-07T14:30:33.254429Z digest=sha256:c9e44cb0c02cbb154d275832aa437e2dcfd5d89e8a1bf5483278c3a5a2b03d13

Observation a02ff182-9f38-4300-b619-a37549df5f91 · outbound

This paper cites 48 (1947), 966--993.

Effective resistance in planar graphs and continued fractions 48 (1947), 966--993

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:30:36.757608Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-07T14:30:33.330819Z digest=sha256:91ef87fd30d31b38a340787499e2aa9c0639662260600e6ab6a50d0de2196689

Observation 0d16ecfe-1c5b-46ba-982f-8a4f6c4942c9 · outbound

This paper cites Doyle and Laurie J.

Effective resistance in planar graphs and continued fractions Doyle and Laurie J

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:30:36.481594Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-07T14:30:33.423466Z digest=sha256:a85332a84b2b3b83f21e1f169cf0bac590ecb5fdf6b870316ecebd1f6573ca12

Observation 7f38c64a-2eea-4140-b868-501e800d2c39 · outbound

This paper cites 62 (2023), 69--110.

Effective resistance in planar graphs and continued fractions 62 (2023), 69--110

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:30:36.267536Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-07T14:30:33.512116Z digest=sha256:df5563f104b436a98aaf6b98fbee1b311d3789882cb8627e39d8effb4e1948f9

Observation b206d95c-80cf-4ce1-8a72-efed0cdd5f18 · outbound

This paper cites Hardy and Edward M.

Effective resistance in planar graphs and continued fractions Hardy and Edward M

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:30:36.159066Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-07T14:30:33.597152Z digest=sha256:49ba19bcb1efee2f6c9d166c49172b7d3c54496ef2fb2c7e5dbb7bbf64d77a43

Observation 7a0f7579-b7ab-41fb-9350-87f2788e7e2b · outbound

This paper cites AMS 30 (2017), 1023--1046.

Effective resistance in planar graphs and continued fractions AMS 30 (2017), 1023--1046

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:30:36.073853Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-07T14:30:33.685797Z digest=sha256:9acaf0e7b0cdcbe591ffc45b99330b3ce9f19040cc1ef44fff4e3800dab15228

Observation c9d32513-6a47-43db-9ed4-993cf7c1a433 · outbound

This paper cites 2, Bolyai Math.\ Soc., Budapest, 1996, 353--397.

Effective resistance in planar graphs and continued fractions 2, Bolyai Math.\ Soc., Budapest, 1996, 353--397

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:30:35.925666Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-07T14:30:33.764792Z digest=sha256:4096bcba1253d9f898c2a2aa774252f6977274d409954750bd79e4ef3079977c

Observation cf7bf786-20ba-47ab-ab60-6264f7d3bcc6 · outbound

This paper cites an unresolved cited work.

Effective resistance in planar graphs and continued fractions Unresolved cited work

Reference 17

Resolution
unresolved
raw_fallback, observed 2026-08-07T14:30:35.800246Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-07T14:30:33.872886Z digest=sha256:0a384d78ee7750698a888a851dc50d7c6bca452a9a0126b2499539e225756191

Observation a1cd4d0a-6d2e-4841-b400-aa221e8e9d71 · outbound

This paper cites an unresolved cited work.

Effective resistance in planar graphs and continued fractions Unresolved cited work

Reference 18

Resolution
unresolved
raw_fallback, observed 2026-08-07T14:30:35.600334Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-07T14:30:33.963341Z digest=sha256:1878f6d961db839dbbbd35bbfc41385e19da0b47d7711d546699abdcaab9234c

Observation 98d4f6b8-68e5-4b2d-83d4-2d63abd3a5ae · outbound

This paper cites an unresolved cited work.

Effective resistance in planar graphs and continued fractions Unresolved cited work

Reference 19

Resolution
unresolved
raw_fallback, observed 2026-08-07T14:30:35.371812Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-07T14:30:34.019833Z digest=sha256:1207ef4d5b9073b66aa4d27cc31e417106ed88c2f2d747244ed14e2ae1d9bf04

Observation 5dfdd665-7140-4ca2-bc59-94f95f1c5b59 · outbound

This paper cites an unresolved cited work.

Effective resistance in planar graphs and continued fractions Unresolved cited work

Reference 20

Resolution
unresolved
raw_fallback, observed 2026-08-07T14:30:35.178359Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-07T14:30:34.099920Z digest=sha256:df36553611787e1ac6a93e28c990212e67e7884ad7a535935af330d6e6d8e360

Observation bd84c5c0-c0b1-4381-b2f4-18414071bf05 · outbound

This paper cites 13 (1970), 515--517.

Effective resistance in planar graphs and continued fractions 13 (1970), 515--517

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:30:34.979329Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-07T14:30:34.175869Z digest=sha256:89e1dbe59c7db608cc91af69eeb37c32c6d5da9abd34378e70c882d8d307e1fe

Observation d60f621a-0252-4de2-9b2f-4f80fe2d20c8 · outbound

This paper cites VIII, AMS, Providence, RI, 1965, 1--15.

Effective resistance in planar graphs and continued fractions VIII, AMS, Providence, RI, 1965, 1--15

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:30:34.781393Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-07T14:30:34.271681Z digest=sha256:a5bcf4a8a03c301020d822a44ec65d5abe1129d9433c3c0c11f53527791b09db

Observation 6c61f9d7-4d33-4ab3-8f7c-6bf34992fece · outbound

This paper cites 82 (2022), 182--196.

Effective resistance in planar graphs and continued fractions 82 (2022), 182--196

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:30:34.599695Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-07T14:30:34.379047Z digest=sha256:de5d6f4c4958a31400f7632e043567df9a03c0af734c34194ea991b1842a634c

Pith citing papers

Observation 38391ca5-7b5e-4cdc-912f-e2e0221dfa69 · inbound

On some results of Korobov and Larcher and Zaremba's conjecture cites this paper.

On some results of Korobov and Larcher and Zaremba's conjecture Effective resistance in planar graphs and continued fractions

Reference 9

Resolution
unresolved
no resolver link, observed 2026-07-14T21:30:23.329885Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-14T21:30:23.329885Z digest=sha256:ba77f4053060fccb475a0df3650c8743af1f2e66baa45fb8cd44acb48d4034ac

Observation 2c7fb650-1a51-4e13-88fd-a0a5c24d95d2 · inbound

Independent Sets and Continued Fractions cites this paper.

Independent Sets and Continued Fractions Effective resistance in planar graphs and continued fractions

Reference 9

Resolution
verified exact
arxiv_id, observed 2026-05-10T02:53:29.709257Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-05-10T02:50:26.211092Z digest=sha256:205c2e19b15f3f9a7169994c3dc704a1779b54401ad30d8fac073d71a2c46c33