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Paper Citation Record · LEDGER

Counterexamples to two conjectures on modular edge colorings of graphs

As of 23 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 2026-08-23T06:30:58.430688+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

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-12T19:33:08.707665Z digest=sha256:9d45d23ce0f744a4fc40f78d094d216cf401f9c1b61ccd493f563a20b02bc670

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-12T19:33:08.715517Z digest=sha256:d0aad88bc864e5d42eee6776796e0c8946f189535944f0fd4cd39bb503f0a1c7

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-12T19:33:08.721728Z digest=sha256:56edc338dff4feb4315f77ebf7ccad101d663543e801910e7b5b054f1d0482ce

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-12T19:33:08.727777Z digest=sha256:0ab94de98a27c62921db7bb92cf744ccf428f0444b9955a6f8e270d64eaa52d5

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-12T19:33:08.733158Z digest=sha256:ab16f4499c58ff515431e6c8aa3b66964b48732b8197b04ab292493b06e01d90

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-12T19:33:08.740947Z digest=sha256:7712a13a55b26ad8363f3b8f9bbaa2e95fa4394a461e124d7339d511398d4be1

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-12T19:33:08.747638Z digest=sha256:872c8a0102cf19502c91b414aa4887f2f7f2d169d2917fea867ce6a1464a9826

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-12T19:33:08.755467Z digest=sha256:784ddca6044a6b41240461162ec76d0043c9f46a82b43f2981928db00af819b3

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-12T19:33:08.763053Z digest=sha256:b13f8835b2bbf3d3b87efd1be2ebdbf09365f6c72c199033f16cd7cd56ece140

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-12T19:33:08.771819Z digest=sha256:1e40f6f5e9810d625ada86e8e470d3d3b19dd49501bd755a4040542dd8974b27

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-12T19:33:08.778162Z digest=sha256:7310ac55e29e97d2d11d09941a70dfeddaf22d53fc987fbb09bf4e3aac69c458

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-12T19:33:08.784131Z digest=sha256:ec96b35a7212026087503d49d58b3f363778505c9a3c0475156717d335491196

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-12T19:33:08.790611Z digest=sha256:e1fd6758f2d873620c8298da664fd7b54bec3164767f6565103429e6e015d084

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-12T19:33:08.797413Z digest=sha256:b86ab279327220b066df3b95b15ab971f0a9aa618c0903d84ff578806f46da0f

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-12T19:33:08.805125Z digest=sha256:33a03d32792f1b539132f543cc9c5c79a35ef041fd172c1e127142e955e142e0

Pith citing papers

No inbound Pith citation observations are available.