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Paper Citation Record · LEDGER

Counterexamples to two conjectures on modular edge colorings of graphs

As of 13 August 2026, this Paper Citation Record lists 15 of 15 outbound references and 0 inbound Pith citation observations for arXiv:2608.10687.

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

pith.paper-citation-record.v1
2608.10687 v1

Coverage vector

measured 15 of 15 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-12T19:33:08.805125Z

measured 15 of 15 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

15 of 15 outbound references displayed

  • verified exact1
  • verified fuzzy11
  • unresolved3
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation c40bb4bf-e285-4d13-ab63-90a0e4787cad · outbound

This paper cites an unresolved cited work.

Counterexamples to two conjectures on modular edge colorings of graphs Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-12T19:33:09.151250Z

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=2026-08-12T19:33:08.707665Z digest=sha256:7b8b29f09aec49fa8172f97777ccd03c20f1f5662ff162142dd412c162200a15

Observation 743214e7-de8c-428e-aab5-d7db072ed2fd · outbound

This paper cites Atanasov, M.

Counterexamples to two conjectures on modular edge colorings of graphs Atanasov, M

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T19:33:09.128262Z

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=2026-08-12T19:33:08.715517Z digest=sha256:7a0fd3bc703f5b27c16345fddfa19a3bc563d92d3c12d7bfec5ce818195a8cdf

Observation abdc1d68-bd05-490d-bff4-4c35acc89a50 · outbound

This paper cites Berthe, M.

Counterexamples to two conjectures on modular edge colorings of graphs Berthe, M

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T19:33:09.108911Z

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=2026-08-12T19:33:08.721728Z digest=sha256:4cc908ee55858fee40cb274260ad8e956cc48dbb27d7625d40dcdb910d73f58d

Observation d9d489f6-0219-4966-b0fc-c47b0a375a06 · outbound

This paper cites Botler, L.

Counterexamples to two conjectures on modular edge colorings of graphs Botler, L

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T19:33:09.086774Z

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=2026-08-12T19:33:08.727777Z digest=sha256:b84215016d9e246c2f67e8f8e0b5eaab7a8c5d8ebdfbd41b1395acabb5242cc8

Observation aa4714d7-414e-4087-93e8-9656d3ce6642 · outbound

This paper cites Botler, L.

Counterexamples to two conjectures on modular edge colorings of graphs Botler, L

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T19:33:09.069446Z

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=2026-08-12T19:33:08.733158Z digest=sha256:b7e7dfbbd1da82ca56d45da1c90cf55da312810cb65ca70f450df33835f22449

Observation fcb8af38-4157-43f0-9128-98fb4090d81e · outbound

This paper cites an unresolved cited work.

Counterexamples to two conjectures on modular edge colorings of graphs Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-12T19:33:09.051247Z

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=2026-08-12T19:33:08.740947Z digest=sha256:c7e0272c76887421b8a0fcf261f30d8c91fcfd6ea79a6fad060d885c87a5aa9a

Observation 7b99eac8-ae41-4bec-b1de-9e1d453d1579 · outbound

This paper cites Linear Lower Bounds for the Modular Chromatic Index.

Counterexamples to two conjectures on modular edge colorings of graphs Linear Lower Bounds for the Modular Chromatic Index

Reference 7

Resolution
verified exact
local_arxiv, observed 2026-08-12T19:33:08.866219Z

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=2026-08-12T19:33:08.747638Z digest=sha256:a622d8066131b1ef829e0ddcac3b44691f01896f3bdd5b5152936f6eb39e4f8c

Observation 50993286-49bf-4c01-9025-399c4db5a366 · outbound

This paper cites Luˇ zar, M.

Counterexamples to two conjectures on modular edge colorings of graphs Luˇ zar, M

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T19:33:09.031973Z

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=2026-08-12T19:33:08.755467Z digest=sha256:b6623a28b9b84bbc1d097713e938d8ae7f2663fcdfb8611ce077919731fbcba2

Observation 71cfed87-bb97-4453-85c9-73725b347f69 · outbound

This paper cites Mader, Existenzn-fach zusammenh¨ angender Teilgraphen in Graphen gen¨ ugend grosser Kantendichte, Abh.

Counterexamples to two conjectures on modular edge colorings of graphs Mader, Existenzn-fach zusammenh¨ angender Teilgraphen in Graphen gen¨ ugend grosser Kantendichte, Abh

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T19:33:09.014731Z

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=2026-08-12T19:33:08.763053Z digest=sha256:5f5dc6aa4e97acc89f472651bc20ca4f58f5f779514cd1ba3ee192a0e52d7d66

Observation cc5c1535-c996-4c3c-abe1-3f9eddd4b598 · outbound

This paper cites M´ atrai, Covering the edges of a graph by three odd subgraphs, J.

Counterexamples to two conjectures on modular edge colorings of graphs M´ atrai, Covering the edges of a graph by three odd subgraphs, J

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T19:33:08.990503Z

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=2026-08-12T19:33:08.771819Z digest=sha256:1adb47b28c45794fc572fe71274cefdff30dd541bf2d54245d75669b69bc2281

Observation d73ace2b-2822-42e2-b394-e546a4149b6d · outbound

This paper cites Nweit, D.

Counterexamples to two conjectures on modular edge colorings of graphs Nweit, D

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T19:33:08.970142Z

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=2026-08-12T19:33:08.778162Z digest=sha256:2e03d353d95936d31a09607d908c7cb76ee59ffb70a3ce374e2edbf5ea997f29

Observation b79c8e16-0b70-40d8-8604-4f966748a66c · outbound

This paper cites Petruˇ sevski, Odd 4-edge-colorability of graphs, J.

Counterexamples to two conjectures on modular edge colorings of graphs Petruˇ sevski, Odd 4-edge-colorability of graphs, J

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T19:33:08.947294Z

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=2026-08-12T19:33:08.784131Z digest=sha256:8bf7401c153a00e0d2791678c5716c629d81ba9b8c3165671c3ae5e3e58854cc

Observation 67021637-ca09-4bad-b8f3-1e071cd76cbe · outbound

This paper cites Pyber, Covering the edges of a graph by.

Counterexamples to two conjectures on modular edge colorings of graphs Pyber, Covering the edges of a graph by

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T19:33:08.927665Z

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=2026-08-12T19:33:08.790611Z digest=sha256:cef7e3048ad52a58717f635067a3a43279594b993727977cc3ec3091cb0c0b56

Observation bd0a1687-63d3-41e8-91f8-84b4f8a2756f · outbound

This paper cites an unresolved cited work.

Counterexamples to two conjectures on modular edge colorings of graphs Unresolved cited work

Reference 14

Resolution
unresolved
raw_fallback, observed 2026-08-12T19:33:08.904806Z

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=2026-08-12T19:33:08.797413Z digest=sha256:ba8814b2e02419d4eac5495777c1d1876727c5f4a3cfb4ba3ca71f11cbb205d2

Observation 603c06fe-7b9b-47ae-84b3-3b008e4adb1f · outbound

This paper cites Thomassen, Graph factors modulok, J.

Counterexamples to two conjectures on modular edge colorings of graphs Thomassen, Graph factors modulok, J

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T19:33:08.887213Z

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=2026-08-12T19:33:08.805125Z digest=sha256:3f7e8a8a8fbe73c3dbe090d0c6884f857d23e6c815f60ef507996c6df8dcfe82

Pith citing papers

No inbound Pith citation observations are available.