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Paper Citation Record · LEDGER

On the Planar Edge-Length Ratio of Planar Graphs

As of 16 August 2026, this Paper Citation Record lists 14 of 14 outbound references and 0 inbound Pith citation observations for arXiv:1908.03586.

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

pith.paper-citation-record.v1
1908.03586 v3

Coverage vector

measured 14 of 14 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T14:25:37.680436Z

measured 14 of 14 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+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

14 of 14 outbound references displayed

  • verified exact0
  • verified fuzzy8
  • unresolved5
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch1

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation e367519d-baa3-4294-aa4e-a756c00a950f · outbound

This paper cites On the edge-length ratio of 2-trees.

On the Planar Edge-Length Ratio of Planar Graphs On the edge-length ratio of 2-trees

Reference 1

Resolution
metadata mismatch
local_arxiv, observed 2026-08-14T14:25:37.736195Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:25:37.581179Z digest=sha256:057cacf621bc8df0526181d160054c216d3403c54727a24e778e95d3c33437d0

Observation e3875acf-acab-4c7f-8025-b897ee37e03d · outbound

This paper cites In: Chaplick, S., Kindermann, P., Wolff, A.

On the Planar Edge-Length Ratio of Planar Graphs In: Chaplick, S., Kindermann, P., Wolff, A

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:25:38.042566Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:25:37.595216Z digest=sha256:c7141e338121e823c3fcc2308ca559279127045774f656fabf60ab54df60dd52

Observation 13943b34-d735-48af-8e09-e16567bd1e74 · outbound

This paper cites Discrete Mathematics 305(1-3), 33–54 (2005).

On the Planar Edge-Length Ratio of Planar Graphs Discrete Mathematics 305(1-3), 33–54 (2005)

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:25:38.009869Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:25:37.601356Z digest=sha256:1e1bd9ac96f478d7ace118d268ae6393f7bcfd05897ac8bdd0d84680060f65e8

Observation dd6101fe-9d92-4c83-9941-48a33ff62f29 · outbound

This paper cites an unresolved cited work.

On the Planar Edge-Length Ratio of Planar Graphs Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:25:37.976896Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:25:37.607679Z digest=sha256:7661953446bf6bb2daec468168a743e9ce03bfc29fee1789a2ad029b1b79515e

Observation d941ff8b-17df-4158-b89f-ddf1dd239591 · outbound

This paper cites Algorithmica 34(1), 1–13 (2002).

On the Planar Edge-Length Ratio of Planar Graphs Algorithmica 34(1), 1–13 (2002)

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:25:37.950206Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:25:37.614564Z digest=sha256:db56220c76f11d849ad9b875c69fca7ead1cb6532173577b0f183e61fcf5b562

Observation 437af611-f74d-4c21-aeb7-df3cc3f54ad5 · outbound

This paper cites Combinatorica 10(1), 41–51 (1990).

On the Planar Edge-Length Ratio of Planar Graphs Combinatorica 10(1), 41–51 (1990)

Reference 6

Resolution
unresolved
no resolver link, observed 2026-08-14T14:25:37.621442Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T14:25:37.621442Z digest=sha256:a960d0ca0a0efb2da589b647d43eaec8831f1e05ee9f449f29d4507bd8c7d7a7

Observation 9868b2f9-13a8-4602-9396-91d4fca70550 · outbound

This paper cites Prentice-Hall (1999).

On the Planar Edge-Length Ratio of Planar Graphs Prentice-Hall (1999)

Reference 7

Resolution
unresolved
no resolver link, observed 2026-08-14T14:25:37.629435Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T14:25:37.629435Z digest=sha256:227baf4565e3bce5dcbc8080e22e294e10cce90ad7839cccada82cf6bd876426

Observation 44611520-c195-425f-a1cc-bd2fa9aa2e2c · outbound

This paper cites Discrete Applied Mathematics 28(2), 111–134 (1990).

On the Planar Edge-Length Ratio of Planar Graphs Discrete Applied Mathematics 28(2), 111–134 (1990)

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:25:37.891388Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:25:37.635343Z digest=sha256:439720b1d17248552270b6b992d86a51b497576fd1739a6098a64fc5e5367d44

Observation ddc88098-667a-4efb-82c0-d1d476d21719 · outbound

This paper cites Acta Sci.

On the Planar Edge-Length Ratio of Planar Graphs Acta Sci

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:25:37.869438Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:25:37.642868Z digest=sha256:bb9e82cd809f9cc1f8726f49d25e1920da9f6429921e800d6ef17e942d4962d0

Observation a8abe88c-5f96-4870-9ebb-ed4209a104c7 · outbound

This paper cites Discrete Mathematics & Theoretical Computer Science 12(5), 139–174 (2010).

On the Planar Edge-Length Ratio of Planar Graphs Discrete Mathematics & Theoretical Computer Science 12(5), 139–174 (2010)

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:25:37.849265Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:25:37.648584Z digest=sha256:749ab8b12c3ca9e09b0f305f085bee83c46f92902a284ff02e64c47b746aa55a

Observation 3cfe6287-7f33-4914-9af8-677379e43af3 · outbound

This paper cites In: Frati, F., Ma, K.

On the Planar Edge-Length Ratio of Planar Graphs In: Frati, F., Ma, K

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:25:37.831218Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:25:37.656695Z digest=sha256:b4f71bca187e26f9fa7761960a607f5f98cead0a120733643898afc7120dc4e1

Observation 78ae7fb1-3873-4047-963b-335db882d6e0 · outbound

This paper cites an unresolved cited work.

On the Planar Edge-Length Ratio of Planar Graphs Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:25:37.810561Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:25:37.662707Z digest=sha256:4fc45a0a210842d77d797d5de3b88bdb87081a4f367f37a63791cee09bb9f172

Observation f2c1389f-45d3-4bd4-8db1-d7bb4c3f1880 · outbound

This paper cites an unresolved cited work.

On the Planar Edge-Length Ratio of Planar Graphs Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:25:37.784925Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:25:37.673393Z digest=sha256:fb8a93e6cd2af709dcdeb2705ee21553d81f8f89c13d2696162e1ad4ab9a9442

Observation e4aef3dc-0990-46c9-94d2-d1167cacf019 · outbound

This paper cites In: Johnson, D.S.

On the Planar Edge-Length Ratio of Planar Graphs In: Johnson, D.S

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:25:37.760291Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:25:37.680436Z digest=sha256:46d5e23f985c39fc29ce3f5a0614b5a57b7c37c1493ff58363e180e49b3cfbbf

Pith citing papers

No inbound Pith citation observations are available.