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Paper Citation Record · LEDGER

Crossing Numbers of Beyond-Planar Graphs

As of 16 August 2026, this Paper Citation Record lists 25 of 25 outbound references and 0 inbound Pith citation observations for arXiv:1908.03153.

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

pith.paper-citation-record.v1
1908.03153 v2

Coverage vector

measured 25 of 25 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T14:32:37.038851Z

measured 25 of 25 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

25 of 25 outbound references displayed

  • verified exact5
  • verified fuzzy3
  • unresolved16
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch1

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation cbcec7e0-c6c2-41d0-ba35-4e300ffb7288 · outbound

This paper cites Discrete Comput.

Crossing Numbers of Beyond-Planar Graphs Discrete Comput

Reference 1

Resolution
verified exact
doi, observed 2026-08-14T14:32:37.314456Z

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=2026-08-14T14:32:36.902168Z digest=sha256:555941a536cb8bc923cc466c843818a59cc490e7ffc91f3b96565da6873e6adc

Observation 19f057a3-08d4-4807-805f-81abb18abe76 · outbound

This paper cites In: Proc.

Crossing Numbers of Beyond-Planar Graphs In: Proc

Reference 2

Resolution
metadata mismatch
raw_fallback, observed 2026-08-14T14:32:37.653341Z

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=2026-08-14T14:32:36.907884Z digest=sha256:8a2ff796def68abbccb48b50854db1f19f89f542d308be66c160250c4f4d2916

Observation b6a271c6-e6ec-4e75-bf50-76e42ce34615 · outbound

This paper cites IEEE Trans.

Crossing Numbers of Beyond-Planar Graphs IEEE Trans

Reference 3

Resolution
unresolved
no resolver link, observed 2026-08-14T14:32:36.914595Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T14:32:36.914595Z digest=sha256:967356427fdc2bd90e9ff8a7d1d26fd90a5ece79ad0ca39b374ba233e01661b1

Observation ec0d7a12-2b7e-47f3-aaca-2d71f90874dc · outbound

This paper cites an unresolved cited work.

Crossing Numbers of Beyond-Planar Graphs Unresolved cited work

Reference 4

Resolution
verified exact
doi, observed 2026-08-14T14:32:37.293626Z

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=2026-08-14T14:32:36.920049Z digest=sha256:f8d3da510b015b166b1ab7f1c35aefc5b8dd64a4b14adce29775c74da17d8a5a

Observation cf90a6c9-c7ab-424f-ad91-6c780695bd6b · outbound

This paper cites Discrete Comput.

Crossing Numbers of Beyond-Planar Graphs Discrete Comput

Reference 5

Resolution
unresolved
no resolver link, observed 2026-08-14T14:32:36.925094Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T14:32:36.925094Z digest=sha256:8415d447ff32fbf626b099379ff493dd4ac5ee2a5ded336ff9be099511f6ed5a

Observation 9934aebf-d9f3-4cb7-86d0-c33c56caae04 · outbound

This paper cites In: Proc.

Crossing Numbers of Beyond-Planar Graphs In: Proc

Reference 6

Resolution
unresolved
no resolver link, observed 2026-08-14T14:32:36.929693Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T14:32:36.929693Z digest=sha256:f4abdc56a5e544051fb93fd81c15f5c47e19f2837068fc0ca7e8e7077d5a575c

Observation c3c4c50a-bc86-4aec-8dfe-2ba766b845fd · outbound

This paper cites Prentice-Hall (1999).

Crossing Numbers of Beyond-Planar Graphs Prentice-Hall (1999)

Reference 7

Resolution
unresolved
no resolver link, observed 2026-08-14T14:32:36.935467Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T14:32:36.935467Z digest=sha256:cf308be9b0eb20bca7e5e7a33b39c7917f38147e20007b2bd412b4003792d41f

Observation 1974873f-e5aa-4462-948c-b496b27013c1 · outbound

This paper cites ACM Comput.

Crossing Numbers of Beyond-Planar Graphs ACM Comput

Reference 8

Resolution
unresolved
no resolver link, observed 2026-08-14T14:32:36.940118Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T14:32:36.940118Z digest=sha256:ee6f9cfa4d9c30959d5c3e65076d4145387807f5963fbe5dd42b2c6994e4528f

Observation 9f6e8069-19e7-4040-966d-c9335fd68faa · outbound

This paper cites In: Charikar, M.

Crossing Numbers of Beyond-Planar Graphs In: Charikar, M

Reference 9

Resolution
verified exact
doi, observed 2026-08-14T14:32:37.232607Z

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=2026-08-14T14:32:36.945169Z digest=sha256:0f8e7571fdf79a00ffa17d2a46043fcb71a85379794f4cf6fd5037addfb3eb2c

Observation 1c60a40a-4778-49a5-98ba-c46db9d46546 · outbound

This paper cites Dagstuhl Reports 6(11), 35–62 (2016).

Crossing Numbers of Beyond-Planar Graphs Dagstuhl Reports 6(11), 35–62 (2016)

Reference 10

Resolution
unresolved
no resolver link, observed 2026-08-14T14:32:36.950217Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T14:32:36.950217Z digest=sha256:ee4fc2a0f5e64b88fc864dfdb5ddda8e28e2672e284afbe494988dfe2f4322b1

Observation af2af838-fde4-4344-9a71-a86e49a7a4ac · outbound

This paper cites NII Shonan Meet.

Crossing Numbers of Beyond-Planar Graphs NII Shonan Meet

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:32:37.737907Z

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=2026-08-14T14:32:36.955805Z digest=sha256:d63d0ab2c9af82789658eef4b36d287376435de18c5130b435bcee07afe57501

Observation 5d53ba14-73ec-4063-b422-13958363a65d · outbound

This paper cites an unresolved cited work.

Crossing Numbers of Beyond-Planar Graphs Unresolved cited work

Reference 12

Resolution
unresolved
no resolver link, observed 2026-08-14T14:32:36.963773Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T14:32:36.963773Z digest=sha256:e10ec73e7b4ef7d43e30673be9b24e2fcc935288ab26c56ea98509b897d2f8a1

Observation 1f61b524-a9dc-4cce-9dd1-212425a01e6a · outbound

This paper cites The Density of Fan-Planar Graphs.

Crossing Numbers of Beyond-Planar Graphs The Density of Fan-Planar Graphs

Reference 13

Resolution
unresolved
no resolver link, observed 2026-08-14T14:32:36.969148Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T14:32:36.969148Z digest=sha256:a638c20137feb7991ab3fa3e6cdf40ad8d2e4f254b6aec827c121bffe7e2a25a

Observation b566c595-0af0-4f95-89af-3397c49d436c · outbound

This paper cites In: Johnson, D.S., Feige, U.

Crossing Numbers of Beyond-Planar Graphs In: Johnson, D.S., Feige, U

Reference 14

Resolution
unresolved
no resolver link, observed 2026-08-14T14:32:36.974514Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T14:32:36.974514Z digest=sha256:115d160683413bd2b4319afcb3ebabcfa80be87ad055ce5eedaa846c9b34977c

Observation 7812ce12-4697-46e8-afd8-08905a978063 · outbound

This paper cites an unresolved cited work.

Crossing Numbers of Beyond-Planar Graphs Unresolved cited work

Reference 15

Resolution
verified exact
doi, observed 2026-08-14T14:32:37.184630Z

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=2026-08-14T14:32:36.981508Z digest=sha256:7723130fa5eb559e114e4f31499b55ab7638e370089c05df1a4b40db2c233cbd

Observation 01b6b161-888a-487d-b115-27600e6704bc · outbound

This paper cites an unresolved cited work.

Crossing Numbers of Beyond-Planar Graphs Unresolved cited work

Reference 16

Resolution
unresolved
no resolver link, observed 2026-08-14T14:32:36.988223Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T14:32:36.988223Z digest=sha256:ac36f8c0b1f9574e52f5e30c7db884c84e8b7f199bcc298743821db4d73f56e9

Observation 3b8aa49e-aaf7-4117-bc17-42a9d14b7299 · outbound

This paper cites an unresolved cited work.

Crossing Numbers of Beyond-Planar Graphs Unresolved cited work

Reference 17

Resolution
unresolved
no resolver link, observed 2026-08-14T14:32:36.993857Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T14:32:36.993857Z digest=sha256:753e5d4f63b157509fa9b88bbec9b028846a7fe7e9fadc34b86353f93be63003

Observation e9e5d2af-20ff-4d57-8695-ff6c09761871 · outbound

This paper cites Combinatorica 17(3), 427–439 (1997).

Crossing Numbers of Beyond-Planar Graphs Combinatorica 17(3), 427–439 (1997)

Reference 18

Resolution
unresolved
no resolver link, observed 2026-08-14T14:32:36.999754Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T14:32:36.999754Z digest=sha256:4c070a1518fc230f2c7d699e0b00be9e82c5e09416c048755924cab60a9f8f2e

Observation 74dc65df-3505-4c7d-8282-250c2a1c1cd7 · outbound

This paper cites Interacting with Computers 13(2), 147–162 (2000).

Crossing Numbers of Beyond-Planar Graphs Interacting with Computers 13(2), 147–162 (2000)

Reference 19

Resolution
unresolved
no resolver link, observed 2026-08-14T14:32:37.006128Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T14:32:37.006128Z digest=sha256:88e530bcddb6b618964e5de057604d45ab2e2634a30739a4b6d123db3e2681c1

Observation fc78ca26-dff8-4403-8d26-6f271d484d71 · outbound

This paper cites Empirical Software Engineering 7(3), 233–255 (2002).

Crossing Numbers of Beyond-Planar Graphs Empirical Software Engineering 7(3), 233–255 (2002)

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:32:37.720120Z

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=2026-08-14T14:32:37.012679Z digest=sha256:7acc68c8a5bcb5c0e8eb45e61060cd7d5cdf18afd95b4199dc94c623e3ae7700

Observation f2a8a48b-62bf-4802-b0f1-5123b47ee7f9 · outbound

This paper cites an unresolved cited work.

Crossing Numbers of Beyond-Planar Graphs Unresolved cited work

Reference 21

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:32:37.697791Z

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=2026-08-14T14:32:37.017961Z digest=sha256:7692d2522a28286d2fe78877ed6234c981ce0ebf0475fa8d8a5f368dbec3d6a9

Observation ca2a4ba8-dc4a-4af4-af46-8c70d0959a13 · outbound

This paper cites IEEE Trans.

Crossing Numbers of Beyond-Planar Graphs IEEE Trans

Reference 22

Resolution
unresolved
no resolver link, observed 2026-08-14T14:32:37.024646Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T14:32:37.024646Z digest=sha256:88b268095c9fa6dd7aff132e2782624a1245315d0fdc4893b5cd799563a4cdd7

Observation b84ae5b2-00d7-4e3a-a460-7755d21a2202 · outbound

This paper cites an unresolved cited work.

Crossing Numbers of Beyond-Planar Graphs Unresolved cited work

Reference 23

Resolution
verified exact
doi, observed 2026-08-14T14:32:37.114562Z

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=2026-08-14T14:32:37.029434Z digest=sha256:aeb21a21336bab22ead5d6c701426ce56464f3def690d331e429c36a84801082

Observation 72d412fd-ec6f-45aa-8889-2dc6d48dd67a · outbound

This paper cites ftp://ftp.ifi.savba.sk/ pub/imrich/crobib.pdf (2014).

Crossing Numbers of Beyond-Planar Graphs ftp://ftp.ifi.savba.sk/ pub/imrich/crobib.pdf (2014)

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:32:37.678694Z

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=2026-08-14T14:32:37.034388Z digest=sha256:cfb153bc1bd2a0d13c9f68ec8a511ee4f39cc8f16362b78b5518b45a8b5380ec

Observation d17f2590-ecb6-4260-9b53-941b7b6e52c0 · outbound

This paper cites parallel.

Crossing Numbers of Beyond-Planar Graphs parallel

Reference 25

Resolution
unresolved
no resolver link, observed 2026-08-14T14:32:37.038851Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T14:32:37.038851Z digest=sha256:0899bebf0907d462035e05859161a5f607f97cd7f01a7fa65d209194aa702fd5

Pith citing papers

No inbound Pith citation observations are available.