Paper Citation Record · LEDGER

An improved upper bound for the planar Tur\'an number of $C_8$

As of 13 August 2026, this Paper Citation Record lists 23 of 23 outbound references and 0 inbound Pith citation observations for arXiv:2607.16103.

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

pith.paper-citation-record.v1
2607.16103 v1

Coverage vector

measured 23 of 23 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-01T21:27:53.970109Z

measured 23 of 23 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+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 exact1
verified fuzzy0
unresolved21
parse uncertain0
malformed identifier1
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 21e6904e-7192-4f30-86ef-2ffe06d9dadc · outbound

This paper cites an unresolved cited work.

An improved upper bound for the planar Tur\'an number of $C_8$ Unresolved cited work

Reference 1

Resolution: malformed identifier; doi_truncated, observed 2026-08-01T21:28:21.110240Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 79efe36c-d654-4505-a93e-a0a8c02e927e · outbound

This paper cites an unresolved cited work.

An improved upper bound for the planar Tur\'an number of $C_8$ Unresolved cited work

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-01T21:27:51.257390Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7e1eebba-66f9-482f-87b6-98867c2f5777 · outbound

This paper cites Ghosh, E.

An improved upper bound for the planar Tur\'an number of $C_8$ Ghosh, E

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-01T21:27:51.395315Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 207a71d9-6337-486f-80e7-86449b5133ad · outbound

This paper cites The planar Tur\'an number of the seven-cycle.

An improved upper bound for the planar Tur\'an number of $C_8$ The planar Tur\'an number of the seven-cycle

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-01T21:27:51.447314Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6eb12a5f-4d70-470b-b661-daf527965d7d · outbound

This paper cites an unresolved cited work.

An improved upper bound for the planar Tur\'an number of $C_8$ Unresolved cited work

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-01T21:27:51.601368Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 12b32e31-7bea-4283-811c-b53dcd3a1ed8 · outbound

This paper cites an unresolved cited work.

An improved upper bound for the planar Tur\'an number of $C_8$ Unresolved cited work

Reference 6

Resolution: verified exact; doi, observed 2026-08-01T21:28:20.872643Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 8bf3a665-1515-4161-bec3-0cd0aeb7e4f9 · outbound

This paper cites an unresolved cited work.

An improved upper bound for the planar Tur\'an number of $C_8$ Unresolved cited work

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-01T21:27:51.913746Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 95111360-3bab-4da9-a01c-821885b4515f · outbound

This paper cites an unresolved cited work.

An improved upper bound for the planar Tur\'an number of $C_8$ Unresolved cited work

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-01T21:27:52.137282Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f061902a-6651-4414-9ba5-492cc7e3afd7 · outbound

This paper cites an unresolved cited work.

An improved upper bound for the planar Tur\'an number of $C_8$ Unresolved cited work

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-01T21:27:52.281834Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3225aab9-e4f3-4b72-ba47-29767df97a4f · outbound

This paper cites an unresolved cited work.

An improved upper bound for the planar Tur\'an number of $C_8$ Unresolved cited work

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-01T21:27:52.365555Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4b5f9c0c-4f69-4fcd-849b-0925b569ce64 · outbound

This paper cites an unresolved cited work.

An improved upper bound for the planar Tur\'an number of $C_8$ Unresolved cited work

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-01T21:27:52.573499Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9af370a5-e66e-4904-81d7-c633082d68fb · outbound

This paper cites Their interiors are pairwise disjoint and contain no listed vertex.

An improved upper bound for the planar Tur\'an number of $C_8$ Their interiors are pairwise disjoint and contain no listed vertex

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-01T21:27:52.704991Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e4978c92-9395-4104-aebf-2294562bda85 · outbound

This paper cites Consequently every8-cycle found by the search consists of eight distinct genuine vertices and real edges and is an8-cycle of the ambient graph.

An improved upper bound for the planar Tur\'an number of $C_8$ Consequently every8-cycle found by the search consists of eight distinct genuine vertices and real edges and is an8-cycle of the ambient graph

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-01T21:27:52.844229Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 922fe53f-a988-4fa6-a36a-8693568d01bb · outbound

This paper cites Restoring the still unlisted parts ofQand the faces incident with them may add root entries, a shorter root route, or additional non-root4+-competitors.

An improved upper bound for the planar Tur\'an number of $C_8$ Restoring the still unlisted parts ofQand the faces incident with them may add root entries, a shorter root route, or additional non-root4+-competitors

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-01T21:27:52.967242Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a66f7f7f-9f7a-466d-bf1b-78820af33693 · outbound

This paper cites an unresolved cited work.

An improved upper bound for the planar Tur\'an number of $C_8$ Unresolved cited work

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-01T21:27:53.166830Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b6d255cb-1e2e-4372-be45-80f574f9b889 · outbound

This paper cites All triangular witnesses needed for these tests lie within dual distance at most5fromf.

An improved upper bound for the planar Tur\'an number of $C_8$ All triangular witnesses needed for these tests lie within dual distance at most5fromf

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-01T21:27:53.243974Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 86dfad45-50c0-4168-8b54-d55650eb1ae8 · outbound

This paper cites an unresolved cited work.

An improved upper bound for the planar Tur\'an number of $C_8$ Unresolved cited work

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-01T21:27:53.317516Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ed4c9697-ae85-4854-b07c-0998b32eedd9 · outbound

This paper cites an unresolved cited work.

An improved upper bound for the planar Tur\'an number of $C_8$ Unresolved cited work

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-01T21:27:53.482060Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 971f1a63-ee45-464d-8505-fcb866637601 · outbound

This paper cites TheR-branch is not allowed on the displayed root-window edges30,01,12, since the root face cannot lie on both sides of one of its own boundary edges.

An improved upper bound for the planar Tur\'an number of $C_8$ TheR-branch is not allowed on the displayed root-window edges30,01,12, since the root face cannot lie on both sides of one of its own boundary edges

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-01T21:27:53.597355Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 631bfcb4-16a1-49af-869b-dcec7816ecc3 · outbound

This paper cites an unresolved cited work.

An improved upper bound for the planar Tur\'an number of $C_8$ Unresolved cited work

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-01T21:27:53.704283Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5f70da6d-9c20-4a28-b174-acd838cd7a5b · outbound

This paper cites The certificate records201940states with such a difference,554355differing face records, and maximum excess5.

An improved upper bound for the planar Tur\'an number of $C_8$ The certificate records201940states with such a difference,554355differing face records, and maximum excess5

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-01T21:27:53.792102Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 47903adc-a029-4430-9b68-b8ef63954022 · outbound

This paper cites A compressed two-vertex boundary consisting of one real side and one virtual subarc is retained as a search component.

An improved upper bound for the planar Tur\'an number of $C_8$ A compressed two-vertex boundary consisting of one real side and one virtual subarc is retained as a search component

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-01T21:27:53.878894Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 57f3cf20-d082-4c07-a28a-fdcf55d0d35e · outbound

This paper cites There are no overbound terminal states.

An improved upper bound for the planar Tur\'an number of $C_8$ There are no overbound terminal states

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-01T21:27:53.970109Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

No inbound Pith citation observations are available.