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Paper Citation Record · LEDGER

k-Planar and Fan-Crossing Drawings and Transductions of Embeddable Graphs

As of 8 August 2026, this Paper Citation Record lists 23 of 23 outbound references and 0 inbound Pith citation observations for arXiv:2506.08585.

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

pith.paper-citation-record.v1
2506.08585 v4

Coverage vector

measured 23 of 23 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T05:24:42.698858Z

measured 23 of 23 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+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

23 of 23 outbound references displayed

  • verified exact6
  • verified fuzzy1
  • unresolved15
  • parse uncertain0
  • malformed identifier1
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 6f2b3df6-d506-4c14-a025-ff658fceac52 · outbound

This paper cites Angelini, M.

k-Planar and Fan-Crossing Drawings and Transductions of Embeddable Graphs Angelini, M

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-07T05:24:42.607861Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T05:24:42.607861Z digest=sha256:72b70b737b16034d8fe5ace38559d7f797e406710a1099b021cc1dcb6196a7b2

Observation 3b30f6d1-8852-4675-873d-b5cbe1e6e11a · outbound

This paper cites Bonnet, E.

k-Planar and Fan-Crossing Drawings and Transductions of Embeddable Graphs Bonnet, E

Reference 2

Resolution
unresolved
no resolver link, observed 2026-08-07T05:24:42.612467Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T05:24:42.612467Z digest=sha256:40b9e74d24ec13846623181ce339db814767f50c53e630f35abf84f1c4d4b29d

Observation 633690d1-a0ae-490b-9519-b4f3e72417a0 · outbound

This paper cites On first-order transductions of classes of graphs.

k-Planar and Fan-Crossing Drawings and Transductions of Embeddable Graphs On first-order transductions of classes of graphs

Reference 3

Resolution
verified exact
local_arxiv, observed 2026-08-07T05:24:42.999325Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T05:24:42.616321Z digest=sha256:339b0f439312755fa5f49438c8a86a782b37a5f23e4d3d6099c39cb95e5d863e

Observation f15bf754-6f70-4131-858e-d914d1b02ea9 · outbound

This paper cites Courcelle, J.

k-Planar and Fan-Crossing Drawings and Transductions of Embeddable Graphs Courcelle, J

Reference 4

Resolution
malformed identifier
raw_fallback, observed 2026-08-07T05:24:43.295903Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T05:24:42.620945Z digest=sha256:854f41ce380dcef5fb2a75f6de3a924299b192f4a5b00f76f3b3a15e2328ead0

Observation c6addb65-6661-42ca-a6af-c19faa35fb08 · outbound

This paper cites an unresolved cited work.

k-Planar and Fan-Crossing Drawings and Transductions of Embeddable Graphs Unresolved cited work

Reference 5

Resolution
unresolved
no resolver link, observed 2026-08-07T05:24:42.625626Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T05:24:42.625626Z digest=sha256:28be2c8e13f44e5fd3192584755f727ca74a2308d03207761345ad93d1708c0b

Observation 53c3e4e0-c9c6-4c73-8423-2466f438fc01 · outbound

This paper cites Dreier, N.

k-Planar and Fan-Crossing Drawings and Transductions of Embeddable Graphs Dreier, N

Reference 6

Resolution
unresolved
no resolver link, observed 2026-08-07T05:24:42.629464Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T05:24:42.629464Z digest=sha256:89b894b5302bd690fef5583035f8634a2155af7b086c65d24106bdf03d7aaa0c

Observation e0e53f38-23ae-4f05-b90b-c50bedca2a05 · outbound

This paper cites Dreier, N.

k-Planar and Fan-Crossing Drawings and Transductions of Embeddable Graphs Dreier, N

Reference 7

Resolution
unresolved
no resolver link, observed 2026-08-07T05:24:42.633508Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T05:24:42.633508Z digest=sha256:ab869efecc0feb2c867e07b7f4f1344d7af3791ee8270724b7f93305190d9690

Observation 73f70f7e-48e7-473a-a3a7-a02da477d920 · outbound

This paper cites Dreier, J.

k-Planar and Fan-Crossing Drawings and Transductions of Embeddable Graphs Dreier, J

Reference 8

Resolution
verified exact
doi, observed 2026-08-07T05:24:42.975739Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T05:24:42.637358Z digest=sha256:74dcf09a317e1486527ef3ac0f297f7047f6d1ee24f5a39b05f11f750ac83f5e

Observation 81b56bdd-68d4-40ab-a7c4-633e2f90858a · outbound

This paper cites Dujmovic, D.

k-Planar and Fan-Crossing Drawings and Transductions of Embeddable Graphs Dujmovic, D

Reference 9

Resolution
unresolved
no resolver link, observed 2026-08-07T05:24:42.640819Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T05:24:42.640819Z digest=sha256:497c8b31ddf3bf9acdab2e34039a4e4a4679c7bd7337353b8eb0a14709f11e1d

Observation 327c2395-9f8f-4a14-9c71-7a73c861bdac · outbound

This paper cites Product structure of graph classes with strongly sublinear separators.

k-Planar and Fan-Crossing Drawings and Transductions of Embeddable Graphs Product structure of graph classes with strongly sublinear separators

Reference 10

Resolution
unresolved
no resolver link, observed 2026-08-07T05:24:42.644343Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T05:24:42.644343Z digest=sha256:09aaa4b87bdc443c1a998e28affd0ed28bd33e5bf4f3c0d75d6ae331437b6d90

Observation 0ad8e72c-8c65-481e-9026-9ece2485d398 · outbound

This paper cites Gajarsk ´y, P.

k-Planar and Fan-Crossing Drawings and Transductions of Embeddable Graphs Gajarsk ´y, P

Reference 11

Resolution
verified exact
doi, observed 2026-08-07T05:24:42.875230Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T05:24:42.648548Z digest=sha256:ecb11ff8fb3c09fe3e397114b62498fdbb8e83de070cf43a805c7039bf6da8e3

Observation 3f7b525c-c211-467b-aad5-070388c8873b · outbound

This paper cites Gajarsk ´y, S.

k-Planar and Fan-Crossing Drawings and Transductions of Embeddable Graphs Gajarsk ´y, S

Reference 12

Resolution
unresolved
no resolver link, observed 2026-08-07T05:24:42.652347Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T05:24:42.652347Z digest=sha256:5016d51a3ee228eec322153635e3b4bb189b76f82f24dc2ba08b1be2a7664adc

Observation 551569f1-1878-42d2-bf3b-9c549d617d57 · outbound

This paper cites First-order transducibility among classes of sparse graphs.

k-Planar and Fan-Crossing Drawings and Transductions of Embeddable Graphs First-order transducibility among classes of sparse graphs

Reference 13

Resolution
verified exact
local_arxiv, observed 2026-08-07T05:24:42.855928Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T05:24:42.655973Z digest=sha256:c0ab7e303a2439faa664d54e1b3b29395050c43392267ca8bb27014e2142474b

Observation 7c99e12f-a322-4750-936b-7647110ccb7f · outbound

This paper cites Ganian, P.

k-Planar and Fan-Crossing Drawings and Transductions of Embeddable Graphs Ganian, P

Reference 15

Resolution
unresolved
no resolver link, observed 2026-08-07T05:24:42.664518Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T05:24:42.664518Z digest=sha256:f2de2f5223dea5d8425cac1855a51c6d4ad431b8c70c536ef905d6dd5bedc098

Observation 793b1672-6a9f-43a8-91eb-c7f75ef57e90 · outbound

This paper cites Ganian, P.

k-Planar and Fan-Crossing Drawings and Transductions of Embeddable Graphs Ganian, P

Reference 16

Resolution
unresolved
no resolver link, observed 2026-08-07T05:24:42.668139Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T05:24:42.668139Z digest=sha256:b3aa20e0fb1d01bdea7f13024ba8f8d0637376b8fb34c68b67b663ea19e8c592

Observation 9259ab41-c3c9-4835-9d61-21698c9489b1 · outbound

This paper cites Hendrey, N.

k-Planar and Fan-Crossing Drawings and Transductions of Embeddable Graphs Hendrey, N

Reference 17

Resolution
unresolved
no resolver link, observed 2026-08-07T05:24:42.671834Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T05:24:42.671834Z digest=sha256:ed608b8ab47ded38bbf35e688267004f10aa430ba6a6397850eae700a8316ade

Observation 31e98928-31d5-41ed-9676-e3fd210de6b6 · outbound

This paper cites Hlin ˇen´y and J.

k-Planar and Fan-Crossing Drawings and Transductions of Embeddable Graphs Hlin ˇen´y and J

Reference 18

Resolution
unresolved
no resolver link, observed 2026-08-07T05:24:42.676317Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T05:24:42.676317Z digest=sha256:7a8ee056c650cb0e1a7e345572d921a2c3caff39577b414ee4c788be42c91288

Observation 813a7e9e-d260-4b88-a367-f23cb655f6d0 · outbound

This paper cites Hlin ˇen´y and J.

k-Planar and Fan-Crossing Drawings and Transductions of Embeddable Graphs Hlin ˇen´y and J

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:24:43.284133Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T05:24:42.680068Z digest=sha256:af6146c69e5e88c08f714c6533751ad6ee8ca289e54ed560ef060f51c394fdbf

Observation 452e06cb-c20b-4366-9c55-a806cc3d2f01 · outbound

This paper cites Ne ˇsetˇril and P.

k-Planar and Fan-Crossing Drawings and Transductions of Embeddable Graphs Ne ˇsetˇril and P

Reference 20

Resolution
unresolved
no resolver link, observed 2026-08-07T05:24:42.683588Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T05:24:42.683588Z digest=sha256:e458e8173d214079eeaf7a06d0460ac18bc24d914a20126385ec21b968527021

Observation 602c93f4-2fcb-4efc-8d70-7696e26b7fcb · outbound

This paper cites Ne ˇsetˇril, P.

k-Planar and Fan-Crossing Drawings and Transductions of Embeddable Graphs Ne ˇsetˇril, P

Reference 21

Resolution
verified exact
doi, observed 2026-08-07T05:24:42.752231Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T05:24:42.687235Z digest=sha256:ab18f8068e1981c11dd53abc5a3bd49885bd377108db881110e027a5ff259acc

Observation 2d4c8942-497b-435d-9ead-4d1d68c11345 · outbound

This paper cites Graph classes through the lens of logic.

k-Planar and Fan-Crossing Drawings and Transductions of Embeddable Graphs Graph classes through the lens of logic

Reference 22

Resolution
unresolved
no resolver link, observed 2026-08-07T05:24:42.690840Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T05:24:42.690840Z digest=sha256:16a1af7b6da4dddb787e6d044dcc0bf151a801081e10570038c58f5adb5fda98

Observation 2dea3a49-0312-469c-b7b5-699b978e1f83 · outbound

This paper cites an unresolved cited work.

k-Planar and Fan-Crossing Drawings and Transductions of Embeddable Graphs Unresolved cited work

Reference 23

Resolution
verified exact
doi, observed 2026-08-07T05:24:42.728451Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T05:24:42.694737Z digest=sha256:3c46307362bd1b4e411d5eb5425a560d200621aebd61021036fce1faf7a8a984

Observation d8e6e71d-2d2f-4bce-8301-ab3aa79e09e9 · outbound

This paper cites Toru ´nczyk.

k-Planar and Fan-Crossing Drawings and Transductions of Embeddable Graphs Toru ´nczyk

Reference 24

Resolution
unresolved
no resolver link, observed 2026-08-07T05:24:42.698858Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T05:24:42.698858Z digest=sha256:116ffc05f3f357573256637e3f375632698037c6dd1df9d84913d0e0041072e3

Pith citing papers

No inbound Pith citation observations are available.