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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=sha256:962664bcb8b83660f40980f33dc5d251d9a8088fea7c8c23028582c8005bd24c

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:d8c21723a93a90dd45d67234a16ae8b74b7e4f8c6e009de1941c6debbcf6a113

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=sha256:0a43737af2e72b1d61edc930ad504d437285c2db49294463144ab063bd1e240a

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:a5434267975b7e8feee208f95112e8ffff680c661aef4f4ba2c38a86d532058f

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=sha256:9407f64e7a63c040c576955987ed5142dbec3fefe8028cbf61940fea65eca92b

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:f82691516f5c2f5e9f73c52680171d6e3609c2675849c7cd1887e04b50d0cd6d

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:b60b8afaced8ed399763ca7bcef08f5b9b3e6eb1afceee7e703db8c9ab586145

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=sha256:4a028c73317a64519a52f882bc48bda3bec488a4f09d29aa06abb5887267fe5f

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=sha256:0927734f593bb14edd9545433bef93319e03df1f3d21eb64b1c16a08b832ac09

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=sha256:7a81b7d7c18eca7164ce99ada00bab53aa032a3257b8cc03d7c8caa50f3a154a

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=sha256:1a3245db249c60130fa2b43769622d58b6c963051f85c69ae433988f882b01be

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=sha256:396abe57567222a50d6b1084539a9bc7e6f490d2bdb310d2a709809bc9f4da05

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=sha256:37b8563f8206fbd752f57f2dea71f6256e61798de316e1c9ebd511579ea5648d

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:eed6f7174314b9472055be8e7ad842f12acaa41943328258007dd4610f7628cd

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=sha256:3deff200fe96b3cd59858691f5cd963d464446c919b71d0fa493127ebbc8a00e

Pith citing papers

No inbound Pith citation observations are available.