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Paper Citation Record · LEDGER

On the $4$-clique cover number of graphs

As of 19 August 2026, this Paper Citation Record lists 12 of 12 outbound references and 0 inbound Pith citation observations for arXiv:2506.10478.

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

pith.paper-citation-record.v1
2506.10478 v1

Coverage vector

measured 12 of 12 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T04:44:21.607507Z

measured 12 of 12 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+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

12 of 12 outbound references displayed

  • verified exact0
  • verified fuzzy7
  • unresolved5
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation bdb6125d-1b55-455e-8572-46df5a6d0826 · outbound

This paper cites Clique covers and decompositions of cliques of graphs.

On the $4$-clique cover number of graphs Clique covers and decompositions of cliques of graphs

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-07T04:44:20.287121Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T04:44:20.287121Z digest=sha256:3bdf955eda082f8825c2d7a687bae30f55386d7c2f484f6e121d3866ae05eb7a

Observation f1728e8d-6ac2-48aa-ad0b-a64fcfda4612 · outbound

This paper cites Bansal, A.

On the $4$-clique cover number of graphs Bansal, A

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T04:44:24.753129Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T04:44:20.378779Z digest=sha256:84edca3fa233c5ce16f3a1eafa478e88d3388e62436209ec7d1a2ccf44e58d2f

Observation a4770ba6-a22b-4ba0-9517-09b6e4383535 · outbound

This paper cites an unresolved cited work.

On the $4$-clique cover number of graphs Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-07T04:44:24.159472Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T04:44:20.466488Z digest=sha256:23c684f1b5554091405e21b2a0e939627c377688024269f14a707b655806b927

Observation abbabd30-4c3a-4fc5-8893-4b19597811db · outbound

This paper cites Erd˝ os, On the number of complete subgraphs contained in certain graphs, Magy.

On the $4$-clique cover number of graphs Erd˝ os, On the number of complete subgraphs contained in certain graphs, Magy

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T04:44:23.891838Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T04:44:20.591540Z digest=sha256:316441ebd1bd11b928bb79013cb651d756d844d61105f1e94b1d72cd85e41dd5

Observation a0a8353e-ecfb-4a7b-9260-748732447b23 · outbound

This paper cites Erd˝ os, A.

On the $4$-clique cover number of graphs Erd˝ os, A

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T04:44:23.622712Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T04:44:20.713755Z digest=sha256:8e09e376a27ae845d5fa2d3bf520ee572c5f772a03cba86852b394c5dbedce23

Observation e25cf7d0-020e-4f2e-891e-ef67db38229b · outbound

This paper cites Leskovec, K.

On the $4$-clique cover number of graphs Leskovec, K

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T04:44:23.357585Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T04:44:20.830304Z digest=sha256:dc277fda7a0ae4c982ba7e77d7bd09aec90ebf408ec7e3927907a15ebe739b25

Observation 78335cb0-4ff6-4990-9d54-ecff6f3956d1 · outbound

This paper cites Lov´ asz, On covering of graphs,in: Theory of Graphs (Proc.

On the $4$-clique cover number of graphs Lov´ asz, On covering of graphs,in: Theory of Graphs (Proc

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T04:44:23.041323Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T04:44:20.976752Z digest=sha256:44d721d9f04c71f16d6235d6a42dca1c6b5f87071d39e5f5164df13b68b08f47

Observation c2c3d0f4-e42f-4c84-befc-a182c493c450 · outbound

This paper cites an unresolved cited work.

On the $4$-clique cover number of graphs Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-07T04:44:22.781044Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T04:44:21.119502Z digest=sha256:0fecdd870b2ac9458244a69e771fcf84e62dabd615cdd371659af1504afd4eb1

Observation fd9769e8-fcf5-4b90-99cd-900d775ee032 · outbound

This paper cites Palla, I.

On the $4$-clique cover number of graphs Palla, I

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T04:44:22.574836Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T04:44:21.250147Z digest=sha256:20a91f3b1891d4e725077989406b56f7cf33582039fc5bc5e814e96a1bd914d1

Observation f6321ccf-b31f-4e56-94b6-775b0bfe1b01 · outbound

This paper cites an unresolved cited work.

On the $4$-clique cover number of graphs Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-08-07T04:44:22.313713Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T04:44:21.341515Z digest=sha256:7b46b9724fc138f7f25208655c8d366c1761f435a5c8aeef5870b38074cacd5c

Observation 4523aa4a-afff-4f12-8b86-63b6d3dc2ace · outbound

This paper cites an unresolved cited work.

On the $4$-clique cover number of graphs Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-08-07T04:44:22.065729Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T04:44:21.440693Z digest=sha256:1504c4c053e7bae696f62f7029e3679e027e657bb9d284a50ea9445b29064ab9

Observation a8e9778f-31c5-40e3-b1ab-352431bf016e · outbound

This paper cites Tur´ an, On an extremal problem in graph theory, Matematikai ´ es Fizikai Lapok, 48 (1941), 436–452.

On the $4$-clique cover number of graphs Tur´ an, On an extremal problem in graph theory, Matematikai ´ es Fizikai Lapok, 48 (1941), 436–452

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T04:44:21.843686Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T04:44:21.607507Z digest=sha256:63fb9d0e504eed9fa93520096e4839c32a92ebfd70d0107b59b1297653586496

Pith citing papers

No inbound Pith citation observations are available.