Pith. sign in

Paper Citation Record · LEDGER

Planar Tur\'an number of disjoint union of $C_3$ and $C_5$

As of 13 August 2026, this Paper Citation Record lists 16 of 16 outbound references and 0 inbound Pith citation observations for arXiv:2507.16351.

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

pith.paper-citation-record.v1
2507.16351 v1

Coverage vector

measured 16 of 16 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T15:30:55.684748Z

measured 16 of 16 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

16 of 16 outbound references displayed

  • verified exact1
  • verified fuzzy4
  • unresolved11
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation d4e8b4e9-3efd-4a31-aa90-a610b54c74bc · outbound

This paper cites Bondy and U.

Planar Tur\'an number of disjoint union of $C_3$ and $C_5$ Bondy and U

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:30:58.200919Z

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.

source=pdf_text observed=2026-08-06T15:30:53.862304Z digest=sha256:27d120b395f295468d3566e2d4cb5b87df03f251e36bb21011dd0c5115704103

Observation cb3a7d14-a673-4ac6-9d6d-dd2aad6bfe78 · outbound

This paper cites an unresolved cited work.

Planar Tur\'an number of disjoint union of $C_3$ and $C_5$ Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-06T15:30:58.008198Z

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.

source=pdf_text observed=2026-08-06T15:30:53.921413Z digest=sha256:1a4dc072b455c2ddd4364bb52edd127b21e240763fdf51a21eb7ab0e556c082e

Observation cfbaa323-7dd2-4f0d-9148-24b9a635bf49 · outbound

This paper cites an unresolved cited work.

Planar Tur\'an number of disjoint union of $C_3$ and $C_5$ Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-06T15:30:57.845033Z

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.

source=pdf_text observed=2026-08-06T15:30:54.082382Z digest=sha256:0f0a3806a7320a745a23c8f70e022d2dbe56a4681c0f71b3b96894f01ec20da1

Observation e2f3367e-1474-4c87-95e9-7f096b003175 · outbound

This paper cites Erd˝ os and A.

Planar Tur\'an number of disjoint union of $C_3$ and $C_5$ Erd˝ os and A

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:30:57.674332Z

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.

source=pdf_text observed=2026-08-06T15:30:54.239822Z digest=sha256:970c9a4cadc27aac47c9a09a25722e0aab0999f7ac0016581375bbb766332fa3

Observation 67d16f1f-972b-4c5c-b1a8-488d646570b7 · outbound

This paper cites an unresolved cited work.

Planar Tur\'an number of disjoint union of $C_3$ and $C_5$ Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-08-06T15:30:57.474071Z

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.

source=pdf_text observed=2026-08-06T15:30:54.422762Z digest=sha256:ccac6e7cf6f32aa081a7c7b6a7b141f84c0ff909aee3dd7641a85bbf63d0b3d1

Observation d6ad2349-c0b3-44df-8955-28dceb06f8ce · outbound

This paper cites Ghosh, E.

Planar Tur\'an number of disjoint union of $C_3$ and $C_5$ Ghosh, E

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:30:57.284071Z

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.

source=pdf_text observed=2026-08-06T15:30:54.542581Z digest=sha256:98b4dfae56fc0587e84f6df08067012db09f083ad5e29e0e12ff4f7c98d2a6fe

Observation cc23d079-3e52-4203-9208-6115d281748a · outbound

This paper cites Gy˝ ori, K.

Planar Tur\'an number of disjoint union of $C_3$ and $C_5$ Gy˝ ori, K

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:30:57.112679Z

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.

source=pdf_text observed=2026-08-06T15:30:54.697497Z digest=sha256:0d847be6cce22f441bc7b47d429e410a939a8358f805c7ce316d0ef305228b10

Observation 4b610f57-10ed-45ae-9eaa-b6ba10c3c029 · outbound

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

Planar Tur\'an number of disjoint union of $C_3$ and $C_5$ The planar Tur\'an number of the seven-cycle

Reference 8

Resolution
unresolved
no resolver link, observed 2026-08-06T15:30:54.813703Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T15:30:54.813703Z digest=sha256:0ff44f17b7d8dfd24944444f63b601194502aade563f16ea569872dd687d76d8

Observation 17a3ce29-289a-4d90-a7ea-f741c2f6beff · outbound

This paper cites an unresolved cited work.

Planar Tur\'an number of disjoint union of $C_3$ and $C_5$ Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-08-06T15:30:56.959606Z

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.

source=pdf_text observed=2026-08-06T15:30:54.934236Z digest=sha256:476e01b357811a229972d299068f20c1d230c39afcb5addb97cb60f40875151c

Observation 5cdb7df3-26c5-47fc-a25a-3c87f58a5c3b · outbound

This paper cites an unresolved cited work.

Planar Tur\'an number of disjoint union of $C_3$ and $C_5$ Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-08-06T15:30:56.780710Z

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.

source=pdf_text observed=2026-08-06T15:30:55.078433Z digest=sha256:910b79987fe79922a74f39ea46bbc1eb23af742c460f37b8861f01be5e875351

Observation 50591d30-ccbe-4460-8dbd-983135bb9a37 · outbound

This paper cites An improved lower bound for the planar Tur\'an number of cycles.

Planar Tur\'an number of disjoint union of $C_3$ and $C_5$ An improved lower bound for the planar Tur\'an number of cycles

Reference 11

Resolution
verified exact
local_arxiv, observed 2026-08-06T15:30:55.879979Z

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.

source=pdf_text observed=2026-08-06T15:30:55.151592Z digest=sha256:cc3b8f21842f52d05f414d7f84b685e3c0dfa4637b8bf321228353ac5c7baa67

Observation 4eb04549-9b2c-4d2b-8822-409c65d4b2f2 · outbound

This paper cites an unresolved cited work.

Planar Tur\'an number of disjoint union of $C_3$ and $C_5$ Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-06T15:30:56.634438Z

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.

source=pdf_text observed=2026-08-06T15:30:55.261766Z digest=sha256:eaa34738c19e2ad5dfdff05df9e8215598b38666438c2320e4628ae6f1342626

Observation 1803914f-463e-4f4b-bee8-440b7a0e0179 · outbound

This paper cites Dense $2$-connected planar graphs and the planar Tur\'{a}n number of $2C_k$.

Planar Tur\'an number of disjoint union of $C_3$ and $C_5$ Dense $2$-connected planar graphs and the planar Tur\'{a}n number of $2C_k$

Reference 13

Resolution
unresolved
no resolver link, observed 2026-08-06T15:30:55.353192Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T15:30:55.353192Z digest=sha256:fe5b2bc16e390296df3e22527443ed15e8cb75f06a03b10462ca53dd3ffd7376

Observation 993790d2-2db8-4137-b3f6-8be9ff1a09ef · outbound

This paper cites an unresolved cited work.

Planar Tur\'an number of disjoint union of $C_3$ and $C_5$ Unresolved cited work

Reference 14

Resolution
unresolved
raw_fallback, observed 2026-08-06T15:30:56.440199Z

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.

source=pdf_text observed=2026-08-06T15:30:55.469815Z digest=sha256:9c20e6c21eb9118aba37942fe97b031f76a59662c9a0f414fa210c11ba637b3d

Observation 60f54bc8-fd36-4599-9054-86e66dbdb892 · outbound

This paper cites an unresolved cited work.

Planar Tur\'an number of disjoint union of $C_3$ and $C_5$ Unresolved cited work

Reference 15

Resolution
unresolved
raw_fallback, observed 2026-08-06T15:30:56.229599Z

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.

source=pdf_text observed=2026-08-06T15:30:55.595108Z digest=sha256:48d343cbd42d4c96876334c4e78e6144c6bdba38b3c3171fbf1aba7214b7317c

Observation 0a48fe73-6559-42aa-b2c2-9bff4818395a · outbound

This paper cites an unresolved cited work.

Planar Tur\'an number of disjoint union of $C_3$ and $C_5$ Unresolved cited work

Reference 16

Resolution
unresolved
raw_fallback, observed 2026-08-06T15:30:56.068413Z

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.

source=pdf_text observed=2026-08-06T15:30:55.684748Z digest=sha256:d0dd06e3583ca5125635b2c8df86e43176b648e2d021777872778a72facb2cf3

Pith citing papers

No inbound Pith citation observations are available.