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Paper Citation Record · LEDGER

Geometry and Generation of a New Graph Planarity Game

As of 16 August 2026, this Paper Citation Record lists 20 of 20 outbound references and 0 inbound Pith citation observations for arXiv:1908.01426.

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

pith.paper-citation-record.v1
1908.01426 v1

Coverage vector

measured 20 of 20 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T15:22:30.439338Z

measured 20 of 20 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

20 of 20 outbound references displayed

  • verified exact0
  • verified fuzzy19
  • unresolved1
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation b42536fe-ef43-482f-841b-8d3d9fe285ff · outbound

This paper cites Enumerating order types for small point sets with applications.

Geometry and Generation of a New Graph Planarity Game Enumerating order types for small point sets with applications

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:22:30.712363Z

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.

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Observation 4935fa4d-ffbe-441b-874c-f13429512460 · outbound

This paper cites On the number of plane geometric graphs.

Geometry and Generation of a New Graph Planarity Game On the number of plane geometric graphs

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:22:30.696584Z

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=2026-08-14T15:22:30.369899Z digest=sha256:6966ab8d399ced28c943a757e70297f6512fbce10f57d26c9fc87b9cfb8d37d8

Observation adfa2cd7-9d4e-4a74-852c-febfb1e60082 · outbound

This paper cites On embedding an outer-planar graph in a point set.

Geometry and Generation of a New Graph Planarity Game On embedding an outer-planar graph in a point set

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:22:30.682194Z

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.

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Observation c9805c21-28d0-4034-8bcb-dab7fcf40e29 · outbound

This paper cites an unresolved cited work.

Geometry and Generation of a New Graph Planarity Game Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-08-14T15:22:30.669469Z

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=2026-08-14T15:22:30.378330Z digest=sha256:553ffac471863631794e42b24e5189752a70704f8e226af82cd1b816a20528ba

Observation 744bc07a-8a66-488a-8143-4f8970b91404 · outbound

This paper cites Planar embeddability of the vertices of a graph using a fixed point set is NP-hard.

Geometry and Generation of a New Graph Planarity Game Planar embeddability of the vertices of a graph using a fixed point set is NP-hard

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:22:30.657963Z

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=2026-08-14T15:22:30.382334Z digest=sha256:74505d7f4734fbb07dc4570bf86e8289e7950612b98aa1ed121a651b3c108ced

Observation 5e324832-c63c-4456-85b4-d2b6a0ab95fb · outbound

This paper cites A linear algorithm for embedding planar graphs using PQ-trees.

Geometry and Generation of a New Graph Planarity Game A linear algorithm for embedding planar graphs using PQ-trees

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:22:30.645890Z

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=2026-08-14T15:22:30.386359Z digest=sha256:60ada6bd14e5c423d7184fbf8fb3552c83846b00fae2fa0a9a8a94303f45bb47

Observation 25cb6cc5-f41a-4a0b-a834-282251052bff · outbound

This paper cites Computational Geometry – Algorithms and Applications.

Geometry and Generation of a New Graph Planarity Game Computational Geometry – Algorithms and Applications

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:22:30.633463Z

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=2026-08-14T15:22:30.390598Z digest=sha256:df22ec778abe588bf6ab76c92c66575b49e94608bb8b1ba1cbae24023f1bff49

Observation 8b54c2ff-0d13-48a8-b4b4-0948abec4a22 · outbound

This paper cites How to draw a planar graph on a grid.

Geometry and Generation of a New Graph Planarity Game How to draw a planar graph on a grid

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:22:30.621695Z

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=2026-08-14T15:22:30.394388Z digest=sha256:9c61c30942bdbbdfa3239a290676af5ce87a6e16de451cb0f7786843f0620638

Observation a99ce1b0-aed5-44b2-8834-ca2eefac3ab1 · outbound

This paper cites Untangling a planar graph.

Geometry and Generation of a New Graph Planarity Game Untangling a planar graph

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:22:30.608540Z

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=2026-08-14T15:22:30.398143Z digest=sha256:7d003eacb4060bc741ce72d410c82a1652f358cc11301d5031e09dbd4686b8c2

Observation 5ed5e000-e34b-4f73-9e69-2d84c0d5953d · outbound

This paper cites Goodman and Richard Pollack.

Geometry and Generation of a New Graph Planarity Game Goodman and Richard Pollack

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:22:30.597754Z

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=2026-08-14T15:22:30.401906Z digest=sha256:9a4b40e77f9b24084e8482b6ef6e264a8003fcbc418736056a182cd308022fe2

Observation 6c274fa1-529c-47d0-b2c9-c7d59c38c52e · outbound

This paper cites Arrangements.

Geometry and Generation of a New Graph Planarity Game Arrangements

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:22:30.585856Z

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=2026-08-14T15:22:30.406344Z digest=sha256:1493da5acb7cb0650cf52da4ef619cd2fa309cff1aacdea0d54b0bacc54f1c0c

Observation f4c7bdd6-0332-48b9-9e81-f6400bb3dea7 · outbound

This paper cites Minimum-weight triangulation is NP-hard.

Geometry and Generation of a New Graph Planarity Game Minimum-weight triangulation is NP-hard

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:22:30.575274Z

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=2026-08-14T15:22:30.409982Z digest=sha256:7d836c389d886b0bb8c8446d27b695632056fbb1273b3c3c38e67e3faa5cf909

Observation 6ba092e9-154b-42fe-90a4-b41dabc70405 · outbound

This paper cites Every graph admits an unambiguous bold drawing.

Geometry and Generation of a New Graph Planarity Game Every graph admits an unambiguous bold drawing

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:22:30.563578Z

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=2026-08-14T15:22:30.414099Z digest=sha256:5aa74f3bae3aca7c3d84c4e11abd0c39c2dd4350e3f0e4b16b1b726c9912562b

Observation ac56fddd-05ca-486a-bd42-bc6231dee6c8 · outbound

This paper cites Embedding a planar triangulation with vertices at specified points.

Geometry and Generation of a New Graph Planarity Game Embedding a planar triangulation with vertices at specified points

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:22:30.551131Z

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=2026-08-14T15:22:30.417612Z digest=sha256:af04ecac51751bf5c23a4bd06bcdb9f77415a1a9f3a66475301e49ad0edac1e6

Observation 7aac7bf2-0b9f-481e-9973-7fffc5876c33 · outbound

This paper cites Handbook of Graph Drawing and Visualization.

Geometry and Generation of a New Graph Planarity Game Handbook of Graph Drawing and Visualization

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:22:30.539328Z

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=2026-08-14T15:22:30.421364Z digest=sha256:57da35613d96cc40267547bd735ce02839f1c64323a22607a2540efc7e679239

Observation 05283c82-a658-4fad-a19c-99ba04ce81c8 · outbound

This paper cites Planarity.

Geometry and Generation of a New Graph Planarity Game Planarity

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:22:30.525660Z

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=2026-08-14T15:22:30.425282Z digest=sha256:3506e0e033aa5fc4464ca5581897717be9a1c6af95a4a4cb3b273eeec4abc257

Observation 36d4bd1d-2b43-4bd8-8c2d-3a77b32d1ea6 · outbound

This paper cites NetLogo: A simple environment for modeling complexity.

Geometry and Generation of a New Graph Planarity Game NetLogo: A simple environment for modeling complexity

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:22:30.512095Z

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=2026-08-14T15:22:30.429037Z digest=sha256:16cfddfde0fc3452317b9b9363eb9569774e9035cccbaf5fbadfb021cea46386

Observation d259882f-6fb8-4084-83ed-a8c2a37d4e50 · outbound

This paper cites Bold graph drawings.

Geometry and Generation of a New Graph Planarity Game Bold graph drawings

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:22:30.496549Z

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=2026-08-14T15:22:30.432940Z digest=sha256:1680e067cdc7976f01f8bd03aa62c8970587d96f9e163d52c95af5b20bc3f6fe

Observation 90124ec1-476d-4e88-aeaa-2bf1d6fb6847 · outbound

This paper cites On the obfuscation complexity of planar graphs.

Geometry and Generation of a New Graph Planarity Game On the obfuscation complexity of planar graphs

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:22:30.483769Z

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=2026-08-14T15:22:30.436120Z digest=sha256:b4a4d7c289f7601ce82d046902e04c0f372fc85a38af3388cd55aa3fecbdcd52

Observation db7498cd-d6a9-4879-a037-e31b236527c3 · outbound

This paper cites Demaine, Takehiro Ito, Jun Kawahara, Masashi Kiyomi, Yoshio Okamoto, Toshiki Saitoh, Akira Suzuki, Kei Uchizawa, and Takeaki Uno.

Geometry and Generation of a New Graph Planarity Game Demaine, Takehiro Ito, Jun Kawahara, Masashi Kiyomi, Yoshio Okamoto, Toshiki Saitoh, Akira Suzuki, Kei Uchizawa, and Takeaki Uno

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:22:30.471868Z

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=2026-08-14T15:22:30.439338Z digest=sha256:2a088411c30628bb57e03a9cfcfad1f892250877bdbfbc5832784aaaf052a503

Pith citing papers

No inbound Pith citation observations are available.