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Paper Citation Record · LEDGER

Counterexamples to two conjectures on modular edge colorings of graphs

As of 18 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 2026-08-18T06:34:40.430872+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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-12T19:33:08.707665Z digest=sha256:0eefe2b46c47e52a547a3168cffb918641740db5da32af756c9e6e19497b1ec1

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-12T19:33:08.715517Z digest=sha256:d5432e34e4476ca1fe3b4f26365720fc9a9588fd4793ca164ff2b61a77c9cef8

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-12T19:33:08.721728Z digest=sha256:2de0fb6254506970357a5f1135ef83d476e5558c8731c851f63b48329f12ebef

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-12T19:33:08.727777Z digest=sha256:51fe54f4a08774ce4081554dd4191b65ac346f41f8baeaba944e69154a2727a1

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-12T19:33:08.733158Z digest=sha256:07aa109eee0e6b96e59e48d300a9bb6188a895f54a4d4d98990e3c765fddc30e

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-12T19:33:08.740947Z digest=sha256:e4b2042852c5be7500058d55dde0529a346718fec179ffd45fb5098de3ace029

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-12T19:33:08.747638Z digest=sha256:63abdc1d736d005cc3626739bbdad9673fa9dee9a9f239ae9feda5f66dae3473

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-12T19:33:08.755467Z digest=sha256:96c5c1932afabe659f731986641c8fbd72dede00b90b498b7095392f2abc9648

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-12T19:33:08.763053Z digest=sha256:6912c11148420fc6f6849ed99d182a37184605d55612e6532a00065efb7ead87

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-12T19:33:08.771819Z digest=sha256:6df3cdf99da2fa4aab6ad624dd39561e1a56bf4c46c36a07d9631ad43b2c5060

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-12T19:33:08.778162Z digest=sha256:9fe401f25019e251252682ccc2191d9d60cf7da1618b2bb8b31b8920fe9cb525

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-12T19:33:08.784131Z digest=sha256:0d5633ff4c665cb1c528cdf4b49ef3b09eb05eeafdb573319bc8dc0d681aa020

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-12T19:33:08.790611Z digest=sha256:05cbc74184860d9f2ab9e4ab0e7708233e2fee5288856ab9cd72da07a03a08aa

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-12T19:33:08.797413Z digest=sha256:f7bfa6fc7eb1353c92d6c98a58b8b21d144824abd3d1779cb60c862ac12f4ecd

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-12T19:33:08.805125Z digest=sha256:4977b7472d2e1277e9390531bc06130e77059bd11cc062362eaead2e92fb73a1

Pith citing papers

No inbound Pith citation observations are available.