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Paper Citation Record · LEDGER

On the maximum number of edges of outer k-planar graphs

As of 13 August 2026, this Paper Citation Record lists 25 of 25 outbound references and 0 inbound Pith citation observations for arXiv:2505.24490.

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

pith.paper-citation-record.v1
2505.24490 v1

Coverage vector

measured 25 of 25 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T12:42:16.874080Z

measured 25 of 25 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+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

25 of 25 outbound references displayed

  • verified exact2
  • verified fuzzy7
  • unresolved15
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch1

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation aca55dab-2380-4699-b0e0-486fdc7625a1 · outbound

This paper cites an unresolved cited work.

On the maximum number of edges of outer k-planar graphs Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-07T12:42:20.111455Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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Observation 53d9cbd4-37dc-44cd-8dcf-856c855b93b4 · outbound

This paper cites In: SoCG.

On the maximum number of edges of outer k-planar graphs In: SoCG

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:42:20.015812Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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Observation c58b8d98-a37b-439a-b953-11866543977c · outbound

This paper cites an unresolved cited work.

On the maximum number of edges of outer k-planar graphs Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-07T12:42:19.817173Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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Observation eaa1dfbf-78c6-4a9c-84a2-a7fb970e8fbe · outbound

This paper cites In: IWOCA.

On the maximum number of edges of outer k-planar graphs In: IWOCA

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:42:19.670579Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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Observation fdc0b6e9-f50c-4d2e-ac70-44d829fac801 · outbound

This paper cites Algorithmica 74(4), 1293--1320 (2016), https://doi.org/10.1007/s00453-015-0002-1.

On the maximum number of edges of outer k-planar graphs Algorithmica 74(4), 1293--1320 (2016), https://doi.org/10.1007/s00453-015-0002-1

Reference 5

Resolution
unresolved
no resolver link, observed 2026-08-07T12:42:15.330471Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T12:42:15.330471Z digest=sha256:680279e798aa74fb5fc37d595a420f6cb0088aca8563a4b79cd6c4378830c352

Observation e6ef0204-9963-4050-a5fd-73ce04f6809f · outbound

This paper cites an unresolved cited work.

On the maximum number of edges of outer k-planar graphs Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-07T12:42:19.519650Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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Observation 161ec183-c39f-4118-8123-fc02f28907e9 · outbound

This paper cites In: SoCG.

On the maximum number of edges of outer k-planar graphs In: SoCG

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:42:19.382544Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-07T12:42:15.453499Z digest=sha256:e6f52bc01738d91fe28b471ccf241dbc387675d707a979dbeb3c4a246aadc6a0

Observation 88d2437e-54a7-4caf-b6c8-c410c4693426 · outbound

This paper cites an unresolved cited work.

On the maximum number of edges of outer k-planar graphs Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-07T12:42:19.239490Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-07T12:42:15.531211Z digest=sha256:ae462c45254dfa896ef1e84e60a43be5e45e0e0c23332b7c4db75b1c13e65700

Observation 5d3dcb34-eecc-43c8-9f01-efc80c34808b · outbound

This paper cites u ngener, A., Kaufmann, M.: Improving the crossing lemma by characterizing dense 2-planar and 3-planar graphs. In: GD. Schloss Dagstuhl – Leibniz-Zentrum f\.

On the maximum number of edges of outer k-planar graphs u ngener, A., Kaufmann, M.: Improving the crossing lemma by characterizing dense 2-planar and 3-planar graphs. In: GD. Schloss Dagstuhl – Leibniz-Zentrum f\

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:42:19.111781Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-07T12:42:15.627959Z digest=sha256:bbd18c351edba14ff05614297f57fe6e20d6893d842ae8dfd3fef7ceed8038c3

Observation 5aa92775-aa10-4eed-bf2c-c3462a0980d3 · outbound

This paper cites an unresolved cited work.

On the maximum number of edges of outer k-planar graphs Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-08-07T12:42:18.936201Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-07T12:42:15.701783Z digest=sha256:f98dbf33b97c7b15374901f2b95ea916efde19b1212047f697cb1f928a2c8805

Observation 0798c802-3dc9-4c75-b7e2-ba32ad343f0b · outbound

This paper cites Journal of Combinatorial Theory, Series B 56(1), 9--15 (1992), https://www.sciencedirect.com/science/article/pii/009589569290003G.

On the maximum number of edges of outer k-planar graphs Journal of Combinatorial Theory, Series B 56(1), 9--15 (1992), https://www.sciencedirect.com/science/article/pii/009589569290003G

Reference 11

Resolution
unresolved
no resolver link, observed 2026-08-07T12:42:15.767339Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T12:42:15.767339Z digest=sha256:4ba1a23fa38d8755ad3f56dfc2e6742de7213787ec59fb61c6d3f3c2997fbc64

Observation 0b051a83-d6c4-4c75-817d-7cbf101e85f6 · outbound

This paper cites In: International Symposium on Graph Drawing and Network Visualization.

On the maximum number of edges of outer k-planar graphs In: International Symposium on Graph Drawing and Network Visualization

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:42:18.834327Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-07T12:42:15.846570Z digest=sha256:5b14ad7f605f640306b24fd2e3b66477cc77a1547b84af4d2aeb1d8a80d0089a

Observation 1a67351a-eb50-4e5f-9900-d549b2761bbf · outbound

This paper cites Beyond Outerplanarity.

On the maximum number of edges of outer k-planar graphs Beyond Outerplanarity

Reference 13

Resolution
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local_arxiv, observed 2026-08-07T12:42:17.442338Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-07T12:42:15.913980Z digest=sha256:ad1860ef3f3e7b9de4cc63bc1b607555189d5884af652b52d85e7ae5db9c9f71

Observation 0122d06c-2b32-495d-8705-0747c2f6fa7f · outbound

This paper cites In: STOC.

On the maximum number of edges of outer k-planar graphs In: STOC

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:42:18.718963Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-07T12:42:15.983315Z digest=sha256:0bb7ae1d3976580d3e4015f49e272e58c5db5fb2a0514f6017971d0a57359f25

Observation 07a2325b-73cd-431e-bfbc-fbfdc8d2a56b · outbound

This paper cites Foundations and Trends® in Communications and Information Theory 2(3), 155--239 (2006), http://dx.doi.org/10.1561/0100000006.

On the maximum number of edges of outer k-planar graphs Foundations and Trends® in Communications and Information Theory 2(3), 155--239 (2006), http://dx.doi.org/10.1561/0100000006

Reference 15

Resolution
unresolved
no resolver link, observed 2026-08-07T12:42:16.049689Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T12:42:16.049689Z digest=sha256:44a0ed951ad3120be64c80ec1b70186782cea67e0373894abeab087d5e801a50

Observation 9f94a569-b991-4e06-8a81-60f9709ab468 · outbound

This paper cites prove that one of them intersects at least 10000 others.

On the maximum number of edges of outer k-planar graphs prove that one of them intersects at least 10000 others

Reference 16

Resolution
verified exact
raw_fallback, observed 2026-08-07T12:42:17.328811Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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Observation 9f3181e4-139c-4712-9397-724992101bbb · outbound

This paper cites an unresolved cited work.

On the maximum number of edges of outer k-planar graphs Unresolved cited work

Reference 17

Resolution
unresolved
raw_fallback, observed 2026-08-07T12:42:18.616984Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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Observation 1ab07a82-e42c-4c6c-8b9a-c26fd0bd64f8 · outbound

This paper cites an unresolved cited work.

On the maximum number of edges of outer k-planar graphs Unresolved cited work

Reference 18

Resolution
unresolved
raw_fallback, observed 2026-08-07T12:42:18.491110Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-07T12:42:16.266372Z digest=sha256:84c28b3f72028cb4e2c6f9ccad50fc46ed60b30d280a330f7b341a6ac1044282

Observation 9fcfdca5-36ce-4e4a-b9fa-bca2a458bd19 · outbound

This paper cites Czechoslovak Mathematical Journal 40(2), 343--352 (1990), http://eudml.org/doc/13856.

On the maximum number of edges of outer k-planar graphs Czechoslovak Mathematical Journal 40(2), 343--352 (1990), http://eudml.org/doc/13856

Reference 19

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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Observation bdd27ff4-84f5-441e-bb35-68f4eb3a0f19 · outbound

This paper cites an unresolved cited work.

On the maximum number of edges of outer k-planar graphs Unresolved cited work

Reference 20

Resolution
unresolved
raw_fallback, observed 2026-08-07T12:42:18.301617Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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Observation e9512764-6c45-49de-b466-e2ef9131c40f · outbound

This paper cites an unresolved cited work.

On the maximum number of edges of outer k-planar graphs Unresolved cited work

Reference 21

Resolution
unresolved
raw_fallback, observed 2026-08-07T12:42:18.146822Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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Observation 37a55101-822e-4525-9432-4b9b8a0319af · outbound

This paper cites an unresolved cited work.

On the maximum number of edges of outer k-planar graphs Unresolved cited work

Reference 22

Resolution
unresolved
raw_fallback, observed 2026-08-07T12:42:17.766902Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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Observation a768c78f-9087-4904-b1ab-bf336f79a283 · outbound

This paper cites Book crossing numbers of the complete graph and small local convex crossing numbers.

On the maximum number of edges of outer k-planar graphs Book crossing numbers of the complete graph and small local convex crossing numbers

Reference 23

Resolution
verified exact
local_arxiv, observed 2026-08-07T12:42:17.058487Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-07T12:42:16.725724Z digest=sha256:518ce78a5fe3036459bc849b372b3a747cd917d8702369d1b32a96d45731acfe

Observation 146a6869-167b-49f1-a5b5-9ab6baab2bd5 · outbound

This paper cites , " * write output.state after.block = add.period write.

On the maximum number of edges of outer k-planar graphs , " * write output.state after.block = add.period write

Reference 24

Resolution
unresolved
no resolver link, observed 2026-08-07T12:42:16.800417Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T12:42:16.800417Z digest=sha256:3763cb9ef2f6cfffc60941c7457c742886e6cefcde3d42dc97bbe9a5c12c6ec4

Observation 113e429a-abb9-4c81-8f48-9bfea65f65fd · outbound

This paper cites write newline.

On the maximum number of edges of outer k-planar graphs write newline

Reference 25

Resolution
unresolved
no resolver link, observed 2026-08-07T12:42:16.874080Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T12:42:16.874080Z digest=sha256:e42cdc06723ef70271292312d9cae70f86a2b62e8c423782f6e0431df3d2ca2b

Pith citing papers

No inbound Pith citation observations are available.