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Paper Citation Record · LEDGER

Counting $k$-cycles in $5$-connected planar triangulations

As of 23 August 2026, this Paper Citation Record lists 31 of 31 outbound references and 0 inbound Pith citation observations for arXiv:2507.18090.

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

pith.paper-citation-record.v1
2507.18090 v2

Coverage vector

measured 31 of 31 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T14:55:14.235506Z

measured 31 of 31 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 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

31 of 31 outbound references displayed

  • verified exact3
  • verified fuzzy21
  • unresolved7
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation fed72d22-511e-46d8-8606-db1096f39854 · outbound

This paper cites Alahmadi, R.E.L.

Counting $k$-cycles in $5$-connected planar triangulations Alahmadi, R.E.L

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T14:55:14.466802Z

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=2026-08-06T14:55:14.161942Z digest=sha256:c80182c7d445c2d30f9b3e8d5f7c4a8f499879948708e560e59604c70ea3a00c

Observation 41f5acb0-5ec9-4ddc-a479-44dd4ce90c54 · outbound

This paper cites Alahmadi, R.E.L.

Counting $k$-cycles in $5$-connected planar triangulations Alahmadi, R.E.L

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T14:55:14.460845Z

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=2026-08-06T14:55:14.164884Z digest=sha256:64f52bfb77868836195f00609ca22aeddd8bdbbed3e353650154061935d0b0fd

Observation 64fa96b0-2ad3-409f-a647-dd6784df8f01 · outbound

This paper cites Alahmadi, R.E.L.

Counting $k$-cycles in $5$-connected planar triangulations Alahmadi, R.E.L

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T14:55:14.454733Z

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=2026-08-06T14:55:14.167471Z digest=sha256:ef5e7f52320a7e05a4aac69fa463001deb0351d155352ed7ab82cef1059a4ecb

Observation 1d8973d1-f3e8-402c-8bb8-b6c94d6b55ab · outbound

This paper cites Alahmadi, R.

Counting $k$-cycles in $5$-connected planar triangulations Alahmadi, R

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T14:55:14.448954Z

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=2026-08-06T14:55:14.170091Z digest=sha256:3d5754f8eaf625fed29a46756ebaa2992f9d108e0bc75c988cc6ec6b570e2315

Observation 5b5a610e-f10d-4866-bc62-8e92089f4e97 · outbound

This paper cites Alon and Y.Caro, On the Number of Subgraphs of Prescribed Types of Planar Graphs with a Given Number of Vertices, Ann.

Counting $k$-cycles in $5$-connected planar triangulations Alon and Y.Caro, On the Number of Subgraphs of Prescribed Types of Planar Graphs with a Given Number of Vertices, Ann

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T14:55:14.442605Z

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=2026-08-06T14:55:14.172521Z digest=sha256:62268f90be02d4c7f21c91a7fab5bf92486fda4050c8ac1c177b8bd6e83bdfcb

Observation 998572a6-70b3-4d4e-be5b-e0b1d60c94c5 · outbound

This paper cites B¨ ohme, J.

Counting $k$-cycles in $5$-connected planar triangulations B¨ ohme, J

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T14:55:14.436824Z

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=2026-08-06T14:55:14.174890Z digest=sha256:021b2cc17ec5e2a649603f7b7acb78ba67f38fe564ce3bfa43afe200e07a129a

Observation f51cada1-a851-46ad-861a-4d6d133362eb · outbound

This paper cites Borodin, On the total coloring of planar graphs, J.

Counting $k$-cycles in $5$-connected planar triangulations Borodin, On the total coloring of planar graphs, J

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T14:55:14.431008Z

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=2026-08-06T14:55:14.177611Z digest=sha256:4f4832cbcb9561dbbf1caff6782c985cf5382b46df4e3a462503c71ce7efa8eb

Observation aad16a79-269b-4ccb-a451-a11db11fceac · outbound

This paper cites Brinkmann, J.

Counting $k$-cycles in $5$-connected planar triangulations Brinkmann, J

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T14:55:14.425191Z

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=2026-08-06T14:55:14.179831Z digest=sha256:7aafd393a840cfd66309d447b7e25590d209d5e394da7af6c83c0bcd31ef4119

Observation 0aa4b5df-3985-4ebd-90f3-f3d3a473fb0d · outbound

This paper cites Cox and R.R.

Counting $k$-cycles in $5$-connected planar triangulations Cox and R.R

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T14:55:14.418829Z

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=2026-08-06T14:55:14.182181Z digest=sha256:ffd848d4d88459660ea49206f03f4bb37ffdfa74256dee1103da128f4f8af1d2

Observation ab43abf2-1bd4-46cc-9dc1-b8b5954edf61 · outbound

This paper cites Cox and R.R.

Counting $k$-cycles in $5$-connected planar triangulations Cox and R.R

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T14:55:14.413252Z

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=2026-08-06T14:55:14.184578Z digest=sha256:15e758c92e9abe9c3b0122beaaeb955bedf6fecc263b678baf3be637ba42715b

Observation c99ad09e-f3cd-4002-930c-5ebdb6db7fcf · outbound

This paper cites Eppstein, Connectivity, graph minors, and subgraph multiplicity, J.

Counting $k$-cycles in $5$-connected planar triangulations Eppstein, Connectivity, graph minors, and subgraph multiplicity, J

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T14:55:14.407501Z

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=2026-08-06T14:55:14.186910Z digest=sha256:bd69149822dc17dfe75e588234d8097f59cd14816c9612466bd5d77c42434829

Observation ba3d9cb0-06ac-4380-8891-4834255f90d2 · outbound

This paper cites Gr¨ unbaum, New views on some old questions of combinatorial geometry, Int.

Counting $k$-cycles in $5$-connected planar triangulations Gr¨ unbaum, New views on some old questions of combinatorial geometry, Int

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T14:55:14.394792Z

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=2026-08-06T14:55:14.189244Z digest=sha256:f4db0600c849df6106e81112eb5f4f792cd4aa069bbc7766cb89a216a76c3a30

Observation b0378371-9ee2-4abd-8c66-755e8db61f3f · outbound

This paper cites Gy˝ ori, A.

Counting $k$-cycles in $5$-connected planar triangulations Gy˝ ori, A

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T14:55:14.387859Z

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=2026-08-06T14:55:14.192172Z digest=sha256:38ee8097429b6a8be7ea8bbf753c98e5c989d79182d38e33d454cf6fa6dd0677

Observation 80f19d9b-236c-4292-9677-611454bd534e · outbound

This paper cites Gy˝ ori, A.

Counting $k$-cycles in $5$-connected planar triangulations Gy˝ ori, A

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T14:55:14.381534Z

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=2026-08-06T14:55:14.194492Z digest=sha256:b7fc37a94abc56daacc0e94cdaafe9fcd9736fb240810d1b1846efd81fd4017e

Observation ba13f927-d62e-4c45-b3de-90b4896b305e · outbound

This paper cites Hakimi and E.

Counting $k$-cycles in $5$-connected planar triangulations Hakimi and E

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T14:55:14.375350Z

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=2026-08-06T14:55:14.196864Z digest=sha256:b413fc3cb90d756ff0acc3cffdcc50bf136a2344d1a6005ea4e70c1e376c740c

Observation e8a55c7e-5560-40b2-a74e-8327639f893b · outbound

This paper cites an unresolved cited work.

Counting $k$-cycles in $5$-connected planar triangulations Unresolved cited work

Reference 16

Resolution
unresolved
raw_fallback, observed 2026-08-06T14:55:14.368126Z

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=2026-08-06T14:55:14.199119Z digest=sha256:b8de69dd3b7eb145968d4c251f362763880b16c72f82265422b1dcf0133be1ba

Observation cbfbb46c-f610-4cc7-b7c1-eb19356e2bbc · outbound

This paper cites Heath, R.R.

Counting $k$-cycles in $5$-connected planar triangulations Heath, R.R

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T14:55:14.361740Z

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=2026-08-06T14:55:14.201392Z digest=sha256:2c3d5e9d85becc48b313591e867dad80bbedf6d704cf48d91eaa56b7d9dce6c3

Observation eb756fca-f336-4abe-8f9a-fbd0c81fbb0f · outbound

This paper cites Jendrol’ and H.-J.

Counting $k$-cycles in $5$-connected planar triangulations Jendrol’ and H.-J

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T14:55:14.355302Z

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=2026-08-06T14:55:14.203879Z digest=sha256:41cb23cf198a4fb8fdf01b3eeba87035f1281f5d58b931ee640f40edec2362ed

Observation e69722fc-f636-42d4-9ec4-7a11dda88ad1 · outbound

This paper cites Huynh, G.

Counting $k$-cycles in $5$-connected planar triangulations Huynh, G

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T14:55:14.348792Z

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=2026-08-06T14:55:14.206196Z digest=sha256:d914fec3716429029cf8a0b362dde209049a4862bde4356f51fd9356eb9350e3

Observation 9d6f4eeb-a9c1-4a8a-b2c8-2e95933ebf13 · outbound

This paper cites Huynh, D.

Counting $k$-cycles in $5$-connected planar triangulations Huynh, D

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T14:55:14.341787Z

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=2026-08-06T14:55:14.208526Z digest=sha256:13635caefb2f54f5c80ca6bd4da9c72069aec4c17e626ac9cca66c9fca7f123d

Observation 6e9f1805-4f7b-4250-be6f-00676824a670 · outbound

This paper cites Homomorphism counts in robustly sparse graphs.

Counting $k$-cycles in $5$-connected planar triangulations Homomorphism counts in robustly sparse graphs

Reference 21

Resolution
verified exact
local_arxiv, observed 2026-08-06T14:55:14.274948Z

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=2026-08-06T14:55:14.210819Z digest=sha256:f9b5cdf567b5cd591f96ec1679b7b4118a437b592ffb04812cd6b998f1e43f8c

Observation 1d440d83-d143-40c0-87aa-a717e1b0981f · outbound

This paper cites an unresolved cited work.

Counting $k$-cycles in $5$-connected planar triangulations Unresolved cited work

Reference 22

Resolution
unresolved
raw_fallback, observed 2026-08-06T14:55:14.335119Z

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=2026-08-06T14:55:14.213537Z digest=sha256:a5e5089ace05c1e7d887b1485063834200d7a27c240bdd967cd5ac10cb20a3cb

Observation fb53b8b2-78b0-499e-a590-be9c0050351b · outbound

This paper cites Liu and X.

Counting $k$-cycles in $5$-connected planar triangulations Liu and X

Reference 23

Resolution
verified exact
doi, observed 2026-08-06T14:55:14.264716Z

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=2026-08-06T14:55:14.215765Z digest=sha256:71736fc9959124938604e26cf6dcd15d3e0d09ef34880dc018091425b99721af

Observation f6686592-48b7-4dfb-aec7-3e0e122bdc0a · outbound

This paper cites an unresolved cited work.

Counting $k$-cycles in $5$-connected planar triangulations Unresolved cited work

Reference 24

Resolution
unresolved
raw_fallback, observed 2026-08-06T14:55:14.327402Z

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=2026-08-06T14:55:14.218939Z digest=sha256:d2858cfc5e4381723fed5ffdff1ddd1d73a6336efc8684a69e28fc8f40511fbb

Observation e2a0dff4-a03d-428a-a8e6-4f54dbd79291 · outbound

This paper cites an unresolved cited work.

Counting $k$-cycles in $5$-connected planar triangulations Unresolved cited work

Reference 25

Resolution
verified exact
doi, observed 2026-08-06T14:55:14.256151Z

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=2026-08-06T14:55:14.221242Z digest=sha256:7f212325c232e1327eda90bb108b316a46aa701ef4346694b3a18481e385d662

Observation 4b773f6a-b864-4d6d-83a3-0b5e4b016b56 · outbound

This paper cites an unresolved cited work.

Counting $k$-cycles in $5$-connected planar triangulations Unresolved cited work

Reference 26

Resolution
unresolved
raw_fallback, observed 2026-08-06T14:55:14.320223Z

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=2026-08-06T14:55:14.223917Z digest=sha256:0aeea7653c7fa93f7521f94739a481ec3c337525b4f35e5f55e7c74fb14d2bfb

Observation fa30ae07-3bed-405c-aabc-0a56fd0bcce1 · outbound

This paper cites an unresolved cited work.

Counting $k$-cycles in $5$-connected planar triangulations Unresolved cited work

Reference 27

Resolution
unresolved
raw_fallback, observed 2026-08-06T14:55:14.311602Z

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=2026-08-06T14:55:14.226262Z digest=sha256:645cc66aee2c23ac49fab93bff2c19b1a9ac6e3eefb677ceccd0bd12287ccaaa

Observation 9d4559f5-ad5b-44a2-9aa0-1d7002ebf10a · outbound

This paper cites an unresolved cited work.

Counting $k$-cycles in $5$-connected planar triangulations Unresolved cited work

Reference 28

Resolution
unresolved
raw_fallback, observed 2026-08-06T14:55:14.304589Z

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=2026-08-06T14:55:14.228575Z digest=sha256:c6f72cb7970c8e98c33de14f1395540d5a66a0ad3b74bc6cde8f63e6cbe11f82

Observation ea8c1623-bb61-4d89-9815-2f8b7f816e4d · outbound

This paper cites an unresolved cited work.

Counting $k$-cycles in $5$-connected planar triangulations Unresolved cited work

Reference 29

Resolution
unresolved
raw_fallback, observed 2026-08-06T14:55:14.297733Z

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=2026-08-06T14:55:14.230851Z digest=sha256:f710c5883662c32ae4354567d3e6228163eb3019d92ade301c2595448396cc04

Observation 90c4e9b2-144d-44ee-977e-06281f5daf62 · outbound

This paper cites Whitney, A theorem on graphs, Ann.

Counting $k$-cycles in $5$-connected planar triangulations Whitney, A theorem on graphs, Ann

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T14:55:14.290474Z

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=2026-08-06T14:55:14.233138Z digest=sha256:98b3534d8ebe875affbb92ecafd168edfdfb6b19e5b03f103e63e1a4b3d4234b

Observation 5db9fd81-e6fb-4b25-983d-5bc640b5f7a3 · outbound

This paper cites Wormald, On the frequency of 3-connected subgraphs of planar graphs, Bull.

Counting $k$-cycles in $5$-connected planar triangulations Wormald, On the frequency of 3-connected subgraphs of planar graphs, Bull

Reference 31

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T14:55:14.283610Z

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=2026-08-06T14:55:14.235506Z digest=sha256:28d3539229ee8c077f7541084ba499c2f07af72c98b024221e9a360830ef728b

Pith citing papers

No inbound Pith citation observations are available.