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Paper Citation Record · LEDGER

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

As of 19 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 2026-08-19T06:32:44.657259+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=sha256:13f6006b3a0ec01121991cda86aef977859ba5365c902821bec8163c981e3c90

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=sha256:96a2199eafced8d5ad685aba4c540c1d8d0783a56600112c1741d84da6970a12

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T05:24:42.616321Z digest=sha256:7b3714b481d88f5b435fc3762092916254dc0904a9601d69d0aed96a0366f059

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T05:24:42.620945Z digest=sha256:4aa89e05f8ead47af62cab13490ab5f60a3153b1ada00569b9b58a0a40f1d5b2

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=sha256:15493ad677cfb67948f07b84675af3b6f5f604397b4154a67e396e9083f8aa84

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=sha256:7a70e2e31595324f4f4ffaea82df7748dbc15024b7f22355a5cc0b297321de0a

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=sha256:4ca3069c152c34b8a42237ba4c84940dac17cdf4b51c7061b4bbbfd5c991f3e0

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T05:24:42.637358Z digest=sha256:370656affd44d2411bb8c8569f238de339336dcf429881c52485c510afbcb220

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=sha256:6ec281dbd58f912dd8463f16646aabd1c5d644ee89510581f1432637be9bdf12

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:bca23d2f1c05692423fed2601ad726d12f4d6aeb78975d3dcfe7c4d2aba2453e

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T05:24:42.648548Z digest=sha256:66bf091da06f2c630d10218732174dc72983eb8dd18b649473d5fc5e561a457e

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=sha256:1d842cd68b75cad5e39f5351da12eca8d391c75961d5267364130dd03568d248

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T05:24:42.655973Z digest=sha256:22531b210fde2d7ecea7ddb7c86668252dce5e59571a4dbd331c8f6fd3756d9d

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=sha256:325b1f8e7e88b5adecc85f8c5daa77cfd0017197bb4f6c397a2bf8430022fc43

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=sha256:9a929d808b676a7fa0c7957989993b3486be5419cab3a538e0a9794cfb3470ff

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=sha256:75bc83985593c8cb9bec48c884d4ab7a871326f24b4fd6f5313fa6e3f32500ef

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:c8eec326b6be076ecfb1fe580ba9459091f1f8d4ce87cea871f2f75be1214f5b

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T05:24:42.680068Z digest=sha256:0591e8ff5c9b2cb11dc3d8682f3e30fb9de3a0bf6d7c413ae1a095a9f3666e5b

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=sha256:162fd7fc36d5239e7794890b725091f36e549f0dea26ba5efcb556fe0645028e

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T05:24:42.687235Z digest=sha256:abf21fe6d824115ba1ff74b704ecf1c7cd0fe1bbd51b9b28812ba7b797bbeb83

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=sha256:1cb8220213bce9f1cac4c47202fbd686b939a1bfa60416288329ddfe6453e8cd

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T05:24:42.694737Z digest=sha256:0901231b708e535833efbfdfde20a64f5896fc12e1e41da42af72a329f405171

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:a212a2911367b2e9f444901d86a661877dc68b4709f06e0977a6a2542f538ea0

Pith citing papers

No inbound Pith citation observations are available.