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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 2026-08-12T06:34:41.77262+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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T19:33:08.707665Z digest=sha256:266bbcf5b23016dc915203a5f40b78a0c9f0b5a38185954a10bc6e85ff874d77

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T19:33:08.715517Z digest=sha256:fb773e713298e88a969a130530745588b1ac20ee8c6a93d24f62edc87dd3770f

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T19:33:08.721728Z digest=sha256:01cf7b050ac122bbf4053a9ee30b7d8e31d55e0f09116cc34ecaa0d70d714af8

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T19:33:08.727777Z digest=sha256:0a3af67a682d66c851b155b6df17679b57b60cce8fc24a787b165b923ff958f4

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T19:33:08.733158Z digest=sha256:e3a4d153691d71a49c7b4003865162778d88074c3b2fa125a5e60c19cdacaeaf

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T19:33:08.740947Z digest=sha256:8f8bf01130068be5f397021ba5f94d8cb3ab0959fc81aab488f8531a3eeabe5d

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T19:33:08.747638Z digest=sha256:6af78bc32684097d17fbd9552a4a2a9f4a6df4e7677bc62ac3304e922363fe1b

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T19:33:08.755467Z digest=sha256:c369e1b62080a27f3ac0e366665cb45a50853afe53a23fe33298c2fb96382ece

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T19:33:08.763053Z digest=sha256:4d039309a0fbe24ea85f0008f6569d5a34c50efb355abb3ff74b9029ba2da8fa

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T19:33:08.771819Z digest=sha256:6d7a431228e1ef7c9a9d38e3e5350c7a4ef15b788f15394f5b199f6ad9c01dec

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T19:33:08.778162Z digest=sha256:a64c00997e87fddd7328818841d2ea65adbeede065c42428a6f1c6655ba4ed9c

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T19:33:08.784131Z digest=sha256:2ac7b2835f94b794abc6bc2c9126e448108690f8ab8ef7e2c4fe9a56b687504c

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T19:33:08.790611Z digest=sha256:f5152b672976d3b741afd1cd9d0deb4d60393ffc7f700e934e4388507b708579

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T19:33:08.797413Z digest=sha256:b2fe6edda02812e38ef27b5b23cb4ef1a387bba0cdb47830768d4f7563a33782

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T19:33:08.805125Z digest=sha256:65624602fb2aef2b76a2cc67afde294ca88e3ef1c7c5ad9b8043beaa171726c8

Pith citing papers

No inbound Pith citation observations are available.