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Paper Citation Record · LEDGER

Effective resistance in planar graphs and continued fractions

As of 12 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 2026-08-12T06:34:41.77262+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=sha256:72252b8d17a0e4871a1d0a72ef82b3167156183dabfe4b2aa7141e7d37d458aa

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 2026-08-12T06:34:41.77262+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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-07T14:30:32.647134Z digest=sha256:f35175d77841bfb0ab81f290106eaf42dfc13533d718ae8e86929fb0f043c4c1

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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-07T14:30:32.723083Z digest=sha256:d879136d661b4df0d2bb3cccc3e47fd427851e20d0c290c5eedea64b5b3cd30f

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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-07T14:30:32.815274Z digest=sha256:a997811761205e51b8bf43528866c52aae3c8c3caeb40b12bc8fd9365f020ecd

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:a98e0fd03c1435224aa92a5f49c3c9c72894a25773c2ed7165ebbbb53f537ad4

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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-07T14:30:33.029151Z digest=sha256:7515bea887c551ee3b4d14dccf86e7f7e00cdf08a2abdda4361b43cac29dc648

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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-07T14:30:33.104279Z digest=sha256:0f80a85385b074c85b9cabcb0977c33b127885c658a57ba0ab8a303975b952b5

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=sha256:3cd06bfac94153f0064b91cee177994bbf0f5d74916b8663c62544e37d777131

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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-07T14:30:33.254429Z digest=sha256:c156443f5899ac22b7565d7f6b58483741b1ab6f8e7acaf1fe2911a0cdf74b7d

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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-07T14:30:33.330819Z digest=sha256:eadcb1c47e204e8ca5ba9e3ca811cce86fbf0e5f9ab594c09d71c945af1f2016

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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-07T14:30:33.423466Z digest=sha256:9e50eec8444517579889f6c47f50b57deb184e64f5de886101f8dbe82e3c227d

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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-07T14:30:33.512116Z digest=sha256:6b7cd630fa992c8dd66459b390483e043e98ef893566cd1c077bb30d0bdfab74

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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-07T14:30:33.597152Z digest=sha256:14972efdd603ff292781ed33e236e7f5f683c6e98b132c64e2a06090b9fce570

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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-07T14:30:33.685797Z digest=sha256:316e9e8087bcb134e8a7831fe3bdd248117fbb594eb69e8cdc7c96aff19f6e3c

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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-07T14:30:33.764792Z digest=sha256:8d3123e300315d265ecba59264442d55eb9ced1ebe51e033f5bc61fe18f5359d

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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-07T14:30:33.872886Z digest=sha256:c8c3169277f11ebeb18899edbe30bbe34d2a4d07d562a53d7c259900f5f0443c

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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-07T14:30:33.963341Z digest=sha256:a5558e97dc22f40234f865f7d93a0679177a77fdc36f4978cec8e49f6b889747

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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-07T14:30:34.019833Z digest=sha256:63d595796854522d57ae7b2d69d979497851d63cbc2b05e14662321a5f33473a

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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-07T14:30:34.099920Z digest=sha256:06a5457e03c82826d0c8905bfe47951dba49c0296ca78b7e803c05b29301dfa1

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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-07T14:30:34.175869Z digest=sha256:e9f3a1488ac68c50771eb9752d42c2e9f30efa834a6d3cbc1c23f8184526f04e

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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-07T14:30:34.271681Z digest=sha256:957a3ced72a8d6b5daa2214df9cf15133f7cb54fde6f7a289badbc218578ebea

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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-07T14:30:34.379047Z digest=sha256:e6c1e6cb03c4c9320aebd2343803fc61909c8d479f490518d55dc84011392f07

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=sha256:735db67979a90498beabe5edad1413e59195cb910a147f4fa1fec60cf6682811

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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-05-10T02:50:26.211092Z digest=sha256:2b565facc8f13c09240c739b05cd049e884ef52bc05503e9d528c90093d9e570