Paper Citation Record · LEDGER

Linear Lower Bounds for the Modular Chromatic Index

As of 12 August 2026, this Paper Citation Record lists 48 of 48 outbound references and 0 inbound Pith citation observations for arXiv:2608.02239.

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

pith.paper-citation-record.v1
2608.02239 v1

Coverage vector

measured 48 of 48 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-04T11:02:30.064997Z

measured 48 of 48 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

48 of 48 outbound references displayed

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verified fuzzy0
unresolved48
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation abd215c1-efb2-409e-9e9c-1967b6358518 · outbound

This paper cites Journal of Combinatorial Theory, Series B , volume=.

Linear Lower Bounds for the Modular Chromatic Index Journal of Combinatorial Theory, Series B , volume=

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-04T11:02:24.268213Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 67ecb1e2-86db-4bee-ad50-c2665fb23346 · outbound

This paper cites Doklady Akademii Nauk , volume=.

Linear Lower Bounds for the Modular Chromatic Index Doklady Akademii Nauk , volume=

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-04T11:02:24.349693Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 346a4047-e305-401b-8a4c-d29ef6833a94 · outbound

This paper cites Studia Sci.

Linear Lower Bounds for the Modular Chromatic Index Studia Sci

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-04T11:02:24.452833Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation cf5dabd7-62f9-4280-a20d-c3e88afa300f · outbound

This paper cites 2015 , publisher=.

Linear Lower Bounds for the Modular Chromatic Index 2015 , publisher=

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-04T11:02:24.515611Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1f76bf85-3911-4211-ae0a-eeaeada4b101 · outbound

This paper cites , author=.

Linear Lower Bounds for the Modular Chromatic Index , author=

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-04T11:02:24.572772Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation db2f21a3-938d-46a2-aee8-3d57ab58ebfa · outbound

This paper cites Journal of Graph Theory , volume=.

Linear Lower Bounds for the Modular Chromatic Index Journal of Graph Theory , volume=

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-04T11:02:24.716253Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6d505913-4c5f-4dd4-94fa-f678efb2e73a · outbound

This paper cites European Journal of Combinatorics , volume=.

Linear Lower Bounds for the Modular Chromatic Index European Journal of Combinatorics , volume=

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-04T11:02:24.810554Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 517fcd7f-2062-4aed-9f65-b1c9fc89fc06 · outbound

This paper cites North-Holland Mathematics Studies , volume=.

Linear Lower Bounds for the Modular Chromatic Index North-Holland Mathematics Studies , volume=

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-04T11:02:24.919094Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 854adad6-571d-47d1-8be8-5203fb2be71b · outbound

This paper cites an unresolved cited work.

Linear Lower Bounds for the Modular Chromatic Index Unresolved cited work

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-04T11:02:24.990486Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 854c692a-a91c-4d22-bf50-c6b5d34dd768 · outbound

This paper cites , title =.

Linear Lower Bounds for the Modular Chromatic Index , title =

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-04T11:02:25.048336Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2fe78746-509b-43b5-a866-8ba5b5c104cc · outbound

This paper cites Graphs and Combinatorics , volume=.

Linear Lower Bounds for the Modular Chromatic Index Graphs and Combinatorics , volume=

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-04T11:02:25.099579Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation cdc4e9bd-83e0-4f61-bb36-144b6f6d451c · outbound

This paper cites Tur\'an Number of Subdivisions of Multipartite Graphs.

Linear Lower Bounds for the Modular Chromatic Index Tur\'an Number of Subdivisions of Multipartite Graphs

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-04T11:02:25.217019Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b523db17-16b3-49ea-b870-9267fa26d933 · outbound

This paper cites Journal of Combinatorial Theory, Series B , volume=.

Linear Lower Bounds for the Modular Chromatic Index Journal of Combinatorial Theory, Series B , volume=

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-04T11:02:25.363655Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8fb6d51a-5eb7-4760-9014-a7cd8532a5e5 · outbound

This paper cites Journal of the European Mathematical Society , volume=.

Linear Lower Bounds for the Modular Chromatic Index Journal of the European Mathematical Society , volume=

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-04T11:02:25.496056Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d3c37657-08f7-4a08-ab1c-27bf489bec3f · outbound

This paper cites SIAM Journal on Discrete Mathematics , volume=.

Linear Lower Bounds for the Modular Chromatic Index SIAM Journal on Discrete Mathematics , volume=

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-04T11:02:25.621364Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 33068091-5492-4ae6-a070-2385cef009a4 · outbound

This paper cites The mod k chromatic index of graphs is.

Linear Lower Bounds for the Modular Chromatic Index The mod k chromatic index of graphs is

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-04T11:02:25.797410Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fe9d3d27-5b8a-4afd-b6b5-9567885e6636 · outbound

This paper cites Discrete Mathematics & Theoretical Computer Science , volume=.

Linear Lower Bounds for the Modular Chromatic Index Discrete Mathematics & Theoretical Computer Science , volume=

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-04T11:02:25.953841Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 268dd018-1873-46ef-9cac-1f850a45ff9a · outbound

This paper cites On the Tur\'an Number of Generalized Theta Graphs.

Linear Lower Bounds for the Modular Chromatic Index On the Tur\'an Number of Generalized Theta Graphs

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-04T11:02:26.026660Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 534184ab-122e-41bc-b03a-faf1563f62a4 · outbound

This paper cites an unresolved cited work.

Linear Lower Bounds for the Modular Chromatic Index Unresolved cited work

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-04T11:02:26.089209Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 746c46fc-0dd9-4e6c-b2b5-c2adc12b47b9 · outbound

This paper cites Colloquia Mathematica Societatisj.

Linear Lower Bounds for the Modular Chromatic Index Colloquia Mathematica Societatisj

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-04T11:02:26.202075Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2c13fab6-6e12-4eee-a11a-d6b5ee134c9d · outbound

This paper cites an unresolved cited work.

Linear Lower Bounds for the Modular Chromatic Index Unresolved cited work

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-04T11:02:26.307082Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 27035287-908b-4f41-93d2-b8fc61a87b7d · outbound

This paper cites Journal of Combinatorial Theory, Series B , volume=.

Linear Lower Bounds for the Modular Chromatic Index Journal of Combinatorial Theory, Series B , volume=

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-04T11:02:26.400449Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f384ff03-a55b-47a3-941f-ab5325622ffc · outbound

This paper cites an unresolved cited work.

Linear Lower Bounds for the Modular Chromatic Index Unresolved cited work

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-04T11:02:26.589094Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation cfc82f7a-5419-4d42-a029-7762e8e05544 · outbound

This paper cites Bulletin of the London Mathematical Society , volume=.

Linear Lower Bounds for the Modular Chromatic Index Bulletin of the London Mathematical Society , volume=

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-04T11:02:26.680024Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3952670e-33fc-422e-8ad4-fbe420c8d5bd · outbound

This paper cites Combinatorics, Probability & Computing , volume=.

Linear Lower Bounds for the Modular Chromatic Index Combinatorics, Probability & Computing , volume=

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-04T11:02:26.869797Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 33344e36-3c01-4b1b-a990-3461fb52a1b8 · outbound

This paper cites 2020 , journal=.

Linear Lower Bounds for the Modular Chromatic Index 2020 , journal=

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-04T11:02:26.918421Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1cd398eb-9e89-4e1c-95e1-d15f2449759d · outbound

This paper cites 2020 , journal=.

Linear Lower Bounds for the Modular Chromatic Index 2020 , journal=

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-04T11:02:26.980787Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 99d387d3-fd1d-4211-b666-e59edb812a80 · outbound

This paper cites SIAM Journal on Discrete Mathematics , volume=.

Linear Lower Bounds for the Modular Chromatic Index SIAM Journal on Discrete Mathematics , volume=

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-04T11:02:27.115707Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 542caf1e-c045-469f-96bb-a7044330ee04 · outbound

This paper cites Combinatorica , volume=.

Linear Lower Bounds for the Modular Chromatic Index Combinatorica , volume=

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-04T11:02:27.267885Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 01bf91ec-5d04-413d-8b64-d35e24cae8d4 · outbound

This paper cites On the rational Tur.

Linear Lower Bounds for the Modular Chromatic Index On the rational Tur

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-04T11:02:27.386741Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7e5f1513-42ea-4b1a-b495-8a4db475d5cc · outbound

This paper cites an unresolved cited work.

Linear Lower Bounds for the Modular Chromatic Index Unresolved cited work

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-04T11:02:27.594670Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0d13efe8-cb5a-4116-9a05-5196fa107f47 · outbound

This paper cites Rational exponents near two.

Linear Lower Bounds for the Modular Chromatic Index Rational exponents near two

Reference 32

Resolution: unresolved; no resolver link, observed 2026-08-04T11:02:27.782779Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9c209998-0996-4281-b081-2ea9ab25769c · outbound

This paper cites Many Tur.

Linear Lower Bounds for the Modular Chromatic Index Many Tur

Reference 33

Resolution: unresolved; no resolver link, observed 2026-08-04T11:02:27.897700Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0bf15d60-d584-4d37-8a11-63b774376f4d · outbound

This paper cites Combinatorica , volume=.

Linear Lower Bounds for the Modular Chromatic Index Combinatorica , volume=

Reference 34

Resolution: unresolved; no resolver link, observed 2026-08-04T11:02:28.049476Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7a913d91-4e9e-4ec1-aab5-1fbc26db5549 · outbound

This paper cites Combinatorica , volume=.

Linear Lower Bounds for the Modular Chromatic Index Combinatorica , volume=

Reference 35

Resolution: unresolved; no resolver link, observed 2026-08-04T11:02:28.152653Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3981c010-e458-4a17-8f0d-84d54524a800 · outbound

This paper cites Mat.Fiz.Lapok (Hungarian) , volume=.

Linear Lower Bounds for the Modular Chromatic Index Mat.Fiz.Lapok (Hungarian) , volume=

Reference 36

Resolution: unresolved; no resolver link, observed 2026-08-04T11:02:28.338122Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5f33b3a2-d2c5-498b-8a13-98d18000b838 · outbound

This paper cites 2008 , publisher=.

Linear Lower Bounds for the Modular Chromatic Index 2008 , publisher=

Reference 37

Resolution: unresolved; no resolver link, observed 2026-08-04T11:02:28.542055Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b26bf7d1-f34d-489b-b466-da9bc857bfd9 · outbound

This paper cites Journal of Combinatorial Theory, Series B , volume=.

Linear Lower Bounds for the Modular Chromatic Index Journal of Combinatorial Theory, Series B , volume=

Reference 38

Resolution: unresolved; no resolver link, observed 2026-08-04T11:02:28.746817Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fb6a146f-f3f6-4fca-99f9-4b9e7aa9d2b9 · outbound

This paper cites On the Tur.

Linear Lower Bounds for the Modular Chromatic Index On the Tur

Reference 39

Resolution: unresolved; no resolver link, observed 2026-08-04T11:02:28.921094Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 983d46b6-33b2-4df4-ba7a-0790f0a3020f · outbound

This paper cites an unresolved cited work.

Linear Lower Bounds for the Modular Chromatic Index Unresolved cited work

Reference 40

Resolution: unresolved; no resolver link, observed 2026-08-04T11:02:29.034566Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 712f407d-2cd7-4f06-acb6-03e686151126 · outbound

This paper cites 2011 , publisher=.

Linear Lower Bounds for the Modular Chromatic Index 2011 , publisher=

Reference 41

Resolution: unresolved; no resolver link, observed 2026-08-04T11:02:29.206882Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 161157cc-f23c-4885-9e36-f810cc57a151 · outbound

This paper cites Journal of Graph Theory , volume=.

Linear Lower Bounds for the Modular Chromatic Index Journal of Graph Theory , volume=

Reference 42

Resolution: unresolved; no resolver link, observed 2026-08-04T11:02:29.303410Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 53df69fe-2265-4330-85e5-be542505df92 · outbound

This paper cites Journal of Graph Theory , volume=.

Linear Lower Bounds for the Modular Chromatic Index Journal of Graph Theory , volume=

Reference 43

Resolution: unresolved; no resolver link, observed 2026-08-04T11:02:29.458632Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e5adfb89-8cdb-420d-baf4-8dc261c0265c · outbound

This paper cites Journal of Graph Theory , volume=.

Linear Lower Bounds for the Modular Chromatic Index Journal of Graph Theory , volume=

Reference 44

Resolution: unresolved; no resolver link, observed 2026-08-04T11:02:29.540662Z

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Unavailable: canonical work link unavailable.

Observation 26630ca8-37ef-4ae4-9202-feeaac5a1dcf · outbound

This paper cites Ars Mathematica Contemporanea , volume=.

Linear Lower Bounds for the Modular Chromatic Index Ars Mathematica Contemporanea , volume=

Reference 45

Resolution: unresolved; no resolver link, observed 2026-08-04T11:02:29.659123Z

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Observation 3ea71921-2205-4860-8294-a6c0bb6ef890 · outbound

This paper cites preprint , pages=.

Linear Lower Bounds for the Modular Chromatic Index preprint , pages=

Reference 46

Resolution: unresolved; no resolver link, observed 2026-08-04T11:02:29.763484Z

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Unavailable: canonical work link unavailable.

Observation 01e65a98-7738-4d28-88ec-9540ae1139f3 · outbound

This paper cites Journal of Graph Theory , volume=.

Linear Lower Bounds for the Modular Chromatic Index Journal of Graph Theory , volume=

Reference 47

Resolution: unresolved; no resolver link, observed 2026-08-04T11:02:29.919864Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation aa475507-161c-4195-8571-7ef1dfdd1db7 · outbound

This paper cites an unresolved cited work.

Linear Lower Bounds for the Modular Chromatic Index Unresolved cited work

Reference 48

Resolution: unresolved; no resolver link, observed 2026-08-04T11:02:30.064997Z

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Unavailable: canonical work link unavailable.

Pith citing papers

No inbound Pith citation observations are available.