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Paper Citation Record · LEDGER

The Graph Coloring Game on $4\times n$-Grids

As of 23 August 2026, this Paper Citation Record lists 16 of 16 outbound references and 1 inbound Pith citation observation for arXiv:2412.17668.

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

pith.paper-citation-record.v1
2412.17668 v1

Coverage vector

measured 16 of 16 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T05:24:44.912046Z

measured 17 of 17 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-23T06:30:58.430688+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-05-09T15:08:59.720152Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: arxiv_reference, observed 2026-05-11T16:46:06.756072Z

Reference resolution

16 of 16 outbound references displayed

  • verified exact0
  • verified fuzzy10
  • unresolved6
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 4120ba88-61da-454d-a705-3c4f4e45787a · outbound

This paper cites an unresolved cited work.

The Graph Coloring Game on $4\times n$-Grids Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-11T05:24:45.222786Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-11T05:24:44.814448Z digest=sha256:275f6371b9f795cb61163113e439abe3cd8d9cbdbd282b7285be16c80e06c9f5

Observation bbc95491-6385-469a-9887-bf149b8ad600 · outbound

This paper cites an unresolved cited work.

The Graph Coloring Game on $4\times n$-Grids Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-11T05:24:45.204153Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-11T05:24:44.826032Z digest=sha256:f137b92d92e74cfac0f026d382a44707b6e608a9450e55d91303bb25fb7d24e1

Observation 1a7ea8af-92bf-49ac-8083-2428d8c40311 · outbound

This paper cites On the game chromatic number of some classes of graphs.

The Graph Coloring Game on $4\times n$-Grids On the game chromatic number of some classes of graphs

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T05:24:45.186326Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-11T05:24:44.831946Z digest=sha256:84f807e7e7fe6bc47adaa0119e2cceeec2410f62b7e88d3b6c3c428e9c1e3587

Observation 462ec5e6-8166-4ca1-ac89-6e62936f5dcc · outbound

This paper cites On the degree of trees with game chromatic number 4.

The Graph Coloring Game on $4\times n$-Grids On the degree of trees with game chromatic number 4

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T05:24:45.168929Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-11T05:24:44.837630Z digest=sha256:9219324f6a977dc1766d2f6f59ade17155a38591b17c24db67fe2184ed061533

Observation 2084adc2-61a3-4490-ae3d-40b6d36c5450 · outbound

This paper cites Furtado, Simone Dantas, Celina M.

The Graph Coloring Game on $4\times n$-Grids Furtado, Simone Dantas, Celina M

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T05:24:45.152024Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-11T05:24:44.843215Z digest=sha256:e4089f0498c203e712c8a529f1609f1d7ec0cd7ebcb01623b26e0b772aec6f48

Observation 697e1a81-9166-423d-943a-bf4c80e83e6d · outbound

This paper cites Furtado, Miguel A.

The Graph Coloring Game on $4\times n$-Grids Furtado, Miguel A

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T05:24:45.134987Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-11T05:24:44.848963Z digest=sha256:dc8c265ce959c8ae4539f6a6f5f9761413696cd3dd9c17aa9449a7d51f816d91

Observation 403b5575-ec8a-46fa-a3c7-8ec5aad419ad · outbound

This paper cites an unresolved cited work.

The Graph Coloring Game on $4\times n$-Grids Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-08-11T05:24:45.118037Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-11T05:24:44.855020Z digest=sha256:1cf54d2ee5a30d53adbffdd438a47082e26c8236928b4cc59579d7eb5c5e8ec5

Observation 421e3256-7dca-4984-ab84-003d16486838 · outbound

This paper cites an unresolved cited work.

The Graph Coloring Game on $4\times n$-Grids Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-11T05:24:45.100419Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-11T05:24:44.861605Z digest=sha256:cdf90de2b7692cc192c944f14be8c54591dee6048abe4968c9293f138b627c9d

Observation 1773fdc6-cd10-43e2-b415-2160ceecdb47 · outbound

This paper cites an unresolved cited work.

The Graph Coloring Game on $4\times n$-Grids Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-08-11T05:24:45.082126Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-11T05:24:44.867103Z digest=sha256:38a5534c6bce33886272f196192417125c2d9541eeacd7ad6bd23720c4519813

Observation 502f242b-eb1e-4e1e-ad89-e93e5f40e2db · outbound

This paper cites an unresolved cited work.

The Graph Coloring Game on $4\times n$-Grids Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-08-11T05:24:45.065214Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-11T05:24:44.872193Z digest=sha256:77e13e696ddc12055c8b5592b1f45da4f0634ce1dacfac288455d1bd4d56e6a6

Observation fd5de985-a2fb-4d83-9ac7-e0b428e86ede · outbound

This paper cites The ga me coloring number of planar graphs with a specific girth.

The Graph Coloring Game on $4\times n$-Grids The ga me coloring number of planar graphs with a specific girth

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T05:24:45.046999Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-11T05:24:44.877223Z digest=sha256:c49f3ef19c66fe0040e68dcc10824a9ec202e328877b0eb33587bf62d635b946

Observation 3c4123ca-32c1-48c6-88b7-e4e6f2d599c5 · outbound

This paper cites Game chromatic number of tor oidal grids.

The Graph Coloring Game on $4\times n$-Grids Game chromatic number of tor oidal grids

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T05:24:45.027305Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-11T05:24:44.882565Z digest=sha256:8be2d006d8ab50ba6024921b4847b1dcb2ce1d50ff082d4a5bfe5da6a3875d84

Observation 329eddd6-2cd4-4542-a60f-61fe836947ae · outbound

This paper cites The game coloring number of planar graphs wit h a given girth.

The Graph Coloring Game on $4\times n$-Grids The game coloring number of planar graphs wit h a given girth

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T05:24:45.007999Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-11T05:24:44.887907Z digest=sha256:3a10a951cfb5a6216610a7eb5556945ee12d0f35062dcab2cc62cb1b260afec7

Observation cde1f51e-a3d2-4d54-9d9d-719c52329185 · outbound

This paper cites The game chromatic number and the game co louring number of cactuses.

The Graph Coloring Game on $4\times n$-Grids The game chromatic number and the game co louring number of cactuses

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T05:24:44.989073Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-11T05:24:44.893521Z digest=sha256:15c1ff9bdee6a0a4e31dfd0f856d676c8052ce94cfb5c7981836608552bea389

Observation 169be063-59dd-4089-b928-2701d44a0cb5 · outbound

This paper cites The game coloring number of pseudo partial k-tree s.

The Graph Coloring Game on $4\times n$-Grids The game coloring number of pseudo partial k-tree s

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T05:24:44.970332Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-11T05:24:44.906158Z digest=sha256:5c98c34288952e82983723a3c8894ca14e31e4d4cda57b0e90893ac7a36dfd4f

Observation 4734ba28-6284-405a-87da-2398a14ea004 · outbound

This paper cites Refined activation strategy for the marking game.

The Graph Coloring Game on $4\times n$-Grids Refined activation strategy for the marking game

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T05:24:44.952243Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-11T05:24:44.912046Z digest=sha256:4f497b0d111ff55298ad286daa4d594f60a3a9a0d931f22c9a2757033631559d

Pith citing papers

Observation c5a44d88-ddc2-415b-bece-392a2a459477 · inbound

The Normal Domination Partizan Game in Stars cites this paper.

The Normal Domination Partizan Game in Stars The Graph Coloring Game on $4\times n$-Grids

Reference 23

Resolution
verified exact
arxiv_id, observed 2026-05-11T16:46:06.759507Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-05-09T15:08:59.720152Z digest=sha256:978ce244f793522b52c5a1259920a75ffd7f4f44b8a16a3495c0492d0ba83fc1