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Paper Citation Record · LEDGER

Planar Tur\'{a}n numbers of three configurations

As of 14 August 2026, this Paper Citation Record lists 14 of 14 outbound references and 0 inbound Pith citation observations for arXiv:2509.06131.

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

pith.paper-citation-record.v1
2509.06131 v2

Coverage vector

measured 14 of 14 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-05T04:33:36.552866Z

measured 14 of 14 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

14 of 14 outbound references displayed

  • verified exact1
  • verified fuzzy12
  • unresolved1
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation df22c8d2-577f-4d64-b586-b6df681f846f · outbound

This paper cites Extremal C4-free/C5-free planar graphs.

Planar Tur\'{a}n numbers of three configurations Extremal C4-free/C5-free planar graphs

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T04:33:39.796958Z

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=2026-08-05T04:33:34.908668Z digest=sha256:d857db0039839dde3ef4b138a629a4c550f17c52dc230c534cc9768b3861e612

Observation 1401adc0-4ed7-4554-8268-a0651c5d7f84 · outbound

This paper cites Extremal spectral results of planar graphs without vertex-disjoint cycles.

Planar Tur\'{a}n numbers of three configurations Extremal spectral results of planar graphs without vertex-disjoint cycles

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T04:33:39.519163Z

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=2026-08-05T04:33:35.031374Z digest=sha256:272e6f23669a09d7168609aeaeaa972eb6074a42a97ac8a7407aa715da345824

Observation b62f4c99-322b-47f3-abeb-bf53a4b1dd42 · outbound

This paper cites Planar Tur´ an numbe r of intersecting triangles.

Planar Tur\'{a}n numbers of three configurations Planar Tur´ an numbe r of intersecting triangles

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T04:33:39.236605Z

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=2026-08-05T04:33:35.213873Z digest=sha256:141d1639946963847f6e2fcd67b1f74958fa9ee2cff72fdfa0bdc0d8d50a8a81

Observation 801813fa-8614-4374-b61c-8763ae493b50 · outbound

This paper cites Outerplanar tur´ an numbers of cycles and paths.

Planar Tur\'{a}n numbers of three configurations Outerplanar tur´ an numbers of cycles and paths

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T04:33:39.020777Z

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=2026-08-05T04:33:35.391868Z digest=sha256:9bd07d1ce293edb5bb432eaa647180371e9fb75685f83c6b448fc30d50d3222d

Observation 064a8ce3-c141-4fba-9337-a8c381d5b4d0 · outbound

This paper cites Planar Tur´ an number of the 6-cycle.

Planar Tur\'{a}n numbers of three configurations Planar Tur´ an number of the 6-cycle

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T04:33:38.798917Z

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=2026-08-05T04:33:35.489860Z digest=sha256:a590e53e7cec9c56af0fea4e8ed0ca28cc254c1dd339c05ea9d809e9a463c302

Observation 47a677ba-4663-47f7-a962-a878e3645594 · outbound

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

Planar Tur\'{a}n numbers of three configurations The planar Tur\'an number of the seven-cycle

Reference 6

Resolution
unresolved
no resolver link, observed 2026-08-05T04:33:35.556060Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T04:33:35.556060Z digest=sha256:698e3af9c2f445e652bea8ea9fd41b6a1f1f34382115e6cd7021db810baee0f2

Observation 35d70bcc-c127-478f-948c-bb9c4acb127b · outbound

This paper cites A new construction fo r the planar Tur´ an number of cycles.

Planar Tur\'{a}n numbers of three configurations A new construction fo r the planar Tur´ an number of cycles

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T04:33:38.567757Z

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=2026-08-05T04:33:35.646659Z digest=sha256:e0d9b40ea2191381c1b303b4c5adcc35a26875abf7f8ca714aee90c6c2e30b58

Observation 26ca21aa-28b4-412d-9686-859e1e488b28 · outbound

This paper cites Planar Tur´ an numbers of short p aths.

Planar Tur\'{a}n numbers of three configurations Planar Tur´ an numbers of short p aths

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T04:33:38.355130Z

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=2026-08-05T04:33:35.726673Z digest=sha256:6cb1574016902aa0826242db042a3a1253920c2084c2b8eaa1f2db053b1f0024

Observation 8c087f00-1fcd-4ad0-85b0-74341325053e · outbound

This paper cites Extremal H-free planar graphs.

Planar Tur\'{a}n numbers of three configurations Extremal H-free planar graphs

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T04:33:38.082107Z

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=2026-08-05T04:33:35.837230Z digest=sha256:13e7190dc2d95e66a917f43be1e7f7d38f807310e00bd285782e2927cd628185

Observation fb0300dd-42d8-492c-8e0e-8ff90bfaa724 · outbound

This paper cites Extremal Theta-f ree planar graphs.

Planar Tur\'{a}n numbers of three configurations Extremal Theta-f ree planar graphs

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T04:33:37.847717Z

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=2026-08-05T04:33:35.984443Z digest=sha256:69749cd062fd6c42f932921a65ec04268d5f2988f2b29f6fe74d055e56a0ae36

Observation 279402a0-69fd-46de-ab30-bea3afc30982 · outbound

This paper cites Planar Tur´ an numb ers of cubic graphs and disjoint union of cycles.

Planar Tur\'{a}n numbers of three configurations Planar Tur´ an numb ers of cubic graphs and disjoint union of cycles

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T04:33:37.625679Z

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=2026-08-05T04:33:36.122708Z digest=sha256:94942becd8836706da2da8f5fdcb845cf0180f7b7ce6d4bfa9561bbab6b6735d

Observation 6960910a-fd92-4f8f-80cf-bd29daa7acce · outbound

This paper cites Planar Tur´ an number of the disjoint union of cycles.

Planar Tur\'{a}n numbers of three configurations Planar Tur´ an number of the disjoint union of cycles

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T04:33:37.411644Z

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=2026-08-05T04:33:36.305973Z digest=sha256:bd4bd16a9610be6802617a1677399ba2f3d679821e070606fccef0b7ec75176d

Observation 211f9723-f3df-4872-9e77-c2023e5ebb4e · outbound

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

Planar Tur\'{a}n numbers of three configurations Dense $2$-connected planar graphs and the planar Tur\'{a}n number of $2C_k$

Reference 13

Resolution
verified exact
local_arxiv, observed 2026-08-05T04:33:36.866744Z

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=2026-08-05T04:33:36.422392Z digest=sha256:cfacd682793de292529fc9aa5e2ae7efc13776450ae1d6116d07acacd490437c

Observation c1cce7ef-6c2a-4864-8e98-7c1e348944d6 · outbound

This paper cites Dense circuit graphs and th e planar Tur´ an number of a cycle.

Planar Tur\'{a}n numbers of three configurations Dense circuit graphs and th e planar Tur´ an number of a cycle

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T04:33:37.163989Z

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=2026-08-05T04:33:36.552866Z digest=sha256:3d374cd994b32023ebd9c13612cda93e9f48913b322ca90d4745c7d6f9a87882

Pith citing papers

No inbound Pith citation observations are available.