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Paper Citation Record · LEDGER

Triangle-free $d$-degenerate graphs have small fractional chromatic number

As of 12 August 2026, this Paper Citation Record lists 27 of 27 outbound references and 0 inbound Pith citation observations for arXiv:2501.18238.

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

pith.paper-citation-record.v1
2501.18238 v1

Coverage vector

measured 27 of 27 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-10T00:24:26.488885Z

measured 27 of 27 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

27 of 27 outbound references displayed

  • verified exact4
  • verified fuzzy13
  • unresolved10
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation a6e8084a-460a-4c93-b578-326b17f3a9d5 · outbound

This paper cites an unresolved cited work.

Triangle-free $d$-degenerate graphs have small fractional chromatic number Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-10T00:24:29.609868Z

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=2026-08-10T00:24:26.333950Z digest=sha256:187ea9e67063797f11eea56ad02cf76e33469d1aa40229bf506548c5651979a6

Observation be7fcd34-c9d9-4bb2-af89-10065ea1aca1 · outbound

This paper cites Anderson, A.

Triangle-free $d$-degenerate graphs have small fractional chromatic number Anderson, A

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T00:24:29.541993Z

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=2026-08-10T00:24:26.340979Z digest=sha256:7d339bb136e471763ceede77625adfd0eb818bea11c3423cfbbfece58dd57a8b

Observation 4c1bcfb1-2c66-471a-975c-24c8ea113d88 · outbound

This paper cites Anderson, A.

Triangle-free $d$-degenerate graphs have small fractional chromatic number Anderson, A

Reference 3

Resolution
verified exact
raw_fallback, observed 2026-08-10T00:24:26.824994Z

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=2026-08-10T00:24:26.347307Z digest=sha256:a08ff833e8a68b7e45a9ec0ab32eec0c6d9281dfaa7416668298ba03eff5c309

Observation 9d0793e5-0fdb-4a7d-bc80-370e010fd635 · outbound

This paper cites Bollob´ as: The independence ratio of regular graphs, Proc.

Triangle-free $d$-degenerate graphs have small fractional chromatic number Bollob´ as: The independence ratio of regular graphs, Proc

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T00:24:29.485244Z

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=2026-08-10T00:24:26.353538Z digest=sha256:485ee38aa0756c0f08c4fe28c4d77cf44b3684a04811e6a42bbf0f1c3b93ce02

Observation 027d4eab-bda7-4790-8227-7c2c48bccdaf · outbound

This paper cites Bonamy, T.

Triangle-free $d$-degenerate graphs have small fractional chromatic number Bonamy, T

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T00:24:29.455367Z

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=2026-08-10T00:24:26.359717Z digest=sha256:e59be1409414c62d98e1f4525724898a300b7361bdac74e17a0c41ab7dd819ca

Observation 93d2929d-a502-4968-9cb2-c52ffda8ac99 · outbound

This paper cites Bipartite graphs are $(\frac{4}{5}-\varepsilon) \frac{\Delta}{\log \Delta}$-choosable.

Triangle-free $d$-degenerate graphs have small fractional chromatic number Bipartite graphs are $(\frac{4}{5}-\varepsilon) \frac{\Delta}{\log \Delta}$-choosable

Reference 6

Resolution
unresolved
no resolver link, observed 2026-08-10T00:24:26.365185Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T00:24:26.365185Z digest=sha256:91b1a8c58b8934af198b03dc672a9347a7c736dd27669e177fa2799dc51472b0

Observation 41d1a285-1d4b-4aed-8680-fc2f3e8c6c00 · outbound

This paper cites an unresolved cited work.

Triangle-free $d$-degenerate graphs have small fractional chromatic number Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-08-10T00:24:29.436378Z

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=2026-08-10T00:24:26.371743Z digest=sha256:dc66602beaf56e647c08ba22271c8530f010e14ab514ddfd4ddbeff073ccbddf

Observation 2d196b3c-3c4c-47d9-8ffa-710135f58a30 · outbound

This paper cites Davies, M.

Triangle-free $d$-degenerate graphs have small fractional chromatic number Davies, M

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T00:24:29.416517Z

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=2026-08-10T00:24:26.377322Z digest=sha256:a964a6969030e27804bbbbe19840e3dc74226c7c8ffa0996c94cd792d65f7884

Observation 7a57d31f-8f32-4f38-a738-f34508edda0b · outbound

This paper cites Davies, R.

Triangle-free $d$-degenerate graphs have small fractional chromatic number Davies, R

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T00:24:29.393946Z

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=2026-08-10T00:24:26.382691Z digest=sha256:76fa1a522a563f31647174691c3938dba84cb58e856704462e7f0cf9661041e5

Observation 2674f12a-3afd-49db-a875-e902c7253236 · outbound

This paper cites Graph structure via local occupancy.

Triangle-free $d$-degenerate graphs have small fractional chromatic number Graph structure via local occupancy

Reference 10

Resolution
unresolved
no resolver link, observed 2026-08-10T00:24:26.388732Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T00:24:26.388732Z digest=sha256:a78385eb210b7b7b430437ee220241b2cacd7c64b010e5292cc4eb2f0d98a0f9

Observation d3d56832-3736-4667-8008-c750859ab9aa · outbound

This paper cites The hard-core model in graph theory.

Triangle-free $d$-degenerate graphs have small fractional chromatic number The hard-core model in graph theory

Reference 11

Resolution
unresolved
no resolver link, observed 2026-08-10T00:24:26.395251Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T00:24:26.395251Z digest=sha256:f510527cfc00bcd38009972d036eb1b522348950b9bc296c581ec4b8ac7cddec

Observation 734487f6-46af-4bf2-aa40-e8db209839c8 · outbound

This paper cites an unresolved cited work.

Triangle-free $d$-degenerate graphs have small fractional chromatic number Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-10T00:24:29.371453Z

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=2026-08-10T00:24:26.401160Z digest=sha256:9a5afab404cbc17d6ffa063669532a1fccc81c4130c7e34edd7f51e8fb202016

Observation e64ecb97-a2fe-4b46-84ce-a9a268a5e5ea · outbound

This paper cites Esperet, R.

Triangle-free $d$-degenerate graphs have small fractional chromatic number Esperet, R

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T00:24:29.350911Z

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=2026-08-10T00:24:26.407362Z digest=sha256:b43351fcf47bf608202b40945c220157c08b19cfb813c2299e240cecb866066c

Observation 5848da67-bdf6-47d1-bf64-a3359e1f2713 · outbound

This paper cites Harris: Some results on chromatic number as a funct ion of triangle count, SIAM Journal on Discrete Mathematics 33(1), 2019, 546-–563.

Triangle-free $d$-degenerate graphs have small fractional chromatic number Harris: Some results on chromatic number as a funct ion of triangle count, SIAM Journal on Discrete Mathematics 33(1), 2019, 546-–563

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T00:24:29.331105Z

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=2026-08-10T00:24:26.413118Z digest=sha256:82624486ab64b20a2ff2ff5083422fd92188de54e83e1886f53ef90a8cc61471

Observation 17e11b38-d45b-44dc-84b7-1c4c16c9889b · outbound

This paper cites Hurley, R.

Triangle-free $d$-degenerate graphs have small fractional chromatic number Hurley, R

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T00:24:27.001588Z

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=2026-08-10T00:24:26.418126Z digest=sha256:dcb4166dedb4f750a9c07f5d7f455504730a2c223b7fd2d2bb6887847bc6bcea

Observation 3e02130f-7748-41ec-884b-1c738c21eda4 · outbound

This paper cites Colouring locally sparse graphs with the first moment method.

Triangle-free $d$-degenerate graphs have small fractional chromatic number Colouring locally sparse graphs with the first moment method

Reference 16

Resolution
verified exact
local_arxiv, observed 2026-08-10T00:24:26.646292Z

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=2026-08-10T00:24:26.423730Z digest=sha256:c18453a838eb4e2953db87311ee5c28a0acff3cc15ec9c78fd69978da5660209

Observation f240f29c-d4c2-4041-a783-9c8d0839c170 · outbound

This paper cites Hurley, F.

Triangle-free $d$-degenerate graphs have small fractional chromatic number Hurley, F

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T00:24:26.981653Z

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=2026-08-10T00:24:26.429538Z digest=sha256:1ba5f4546a986de255aa76c60b8ff5604dbb77d59bc7e619bdff91795831bb96

Observation 31b45302-cb66-4300-8a0e-fcfc24bfe847 · outbound

This paper cites Chromatic number and regular subgraphs.

Triangle-free $d$-degenerate graphs have small fractional chromatic number Chromatic number and regular subgraphs

Reference 18

Resolution
verified exact
local_arxiv, observed 2026-08-10T00:24:26.614422Z

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=2026-08-10T00:24:26.435946Z digest=sha256:660e4706fa64dc8b3a621569f050ef78003eb0241da6c2dbaf3d0369eb247e2a

Observation 2618f161-20cf-4686-9a9a-5f888d57acf8 · outbound

This paper cites Johansson: Asymptotic choice number for triangle fr ee graphs.

Triangle-free $d$-degenerate graphs have small fractional chromatic number Johansson: Asymptotic choice number for triangle fr ee graphs

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T00:24:26.962870Z

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=2026-08-10T00:24:26.441922Z digest=sha256:131136e2f74ef04b97c80178658a1ba794c3c6ad4a3da9875602d5675a117be1

Observation 0430db5e-3eab-4ff1-95a7-d6d39d4788b4 · outbound

This paper cites Kelly, L.

Triangle-free $d$-degenerate graphs have small fractional chromatic number Kelly, L

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T00:24:26.943036Z

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=2026-08-10T00:24:26.447220Z digest=sha256:3c33916d7163f4ff71f174d6efbd853149ef58744db85332ceeaad16082a3b3f

Observation 3fb9eeb8-4724-49c4-ad44-93fc6ed7d322 · outbound

This paper cites an unresolved cited work.

Triangle-free $d$-degenerate graphs have small fractional chromatic number Unresolved cited work

Reference 21

Resolution
unresolved
raw_fallback, observed 2026-08-10T00:24:26.923751Z

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=2026-08-10T00:24:26.453058Z digest=sha256:993cd06538b70ab4bad07c01c66b538410b11f7f6ebe472149d850a368d66c7e

Observation 6ce05556-1d0f-4c03-8c1b-40cef181f3eb · outbound

This paper cites an unresolved cited work.

Triangle-free $d$-degenerate graphs have small fractional chromatic number Unresolved cited work

Reference 22

Resolution
unresolved
raw_fallback, observed 2026-08-10T00:24:26.902849Z

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=2026-08-10T00:24:26.459125Z digest=sha256:f06465724ceb5a7733db4e547e653a35add668f21098f74ed4bb3d1ac0f9cf8d

Observation 09c4e3d7-7386-4932-b816-bbb719f95efc · outbound

This paper cites A simplified proof of the Johansson-Molloy Theorem using the Rosenfeld counting method.

Triangle-free $d$-degenerate graphs have small fractional chromatic number A simplified proof of the Johansson-Molloy Theorem using the Rosenfeld counting method

Reference 23

Resolution
unresolved
no resolver link, observed 2026-08-10T00:24:26.464890Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T00:24:26.464890Z digest=sha256:49181e78e8c7074d1c763e55f935b4631455aadfd91ea77858500218dfa37c05

Observation 56f8c476-82b7-4d39-a404-c00f6888038a · outbound

This paper cites Local Shearer bound.

Triangle-free $d$-degenerate graphs have small fractional chromatic number Local Shearer bound

Reference 24

Resolution
verified exact
local_arxiv, observed 2026-08-10T00:24:26.548204Z

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=2026-08-10T00:24:26.471516Z digest=sha256:4d0b9c566b88ccdb1f5e28606e7e2e0b6453288187381ba8de43bca652547c66

Observation f38d4e03-b3fd-4758-950a-c47972774137 · outbound

This paper cites Molloy: The list chromatic number of graphs with smal l clique number.

Triangle-free $d$-degenerate graphs have small fractional chromatic number Molloy: The list chromatic number of graphs with smal l clique number

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T00:24:26.883019Z

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=2026-08-10T00:24:26.477552Z digest=sha256:758da762dba4a2942350bf04a97c182679988948d5b1ae69957df7e9377d41e3

Observation 4e002f2a-9a9a-427f-8af8-9420418ffc3f · outbound

This paper cites Pirot and J.

Triangle-free $d$-degenerate graphs have small fractional chromatic number Pirot and J

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T00:24:26.863511Z

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=2026-08-10T00:24:26.482700Z digest=sha256:52a99f72f06116429704a07365eef0d512a39174212425b2c266ac23b9342174

Observation 2d027497-ec02-4ca1-87ce-49521fe2cac9 · outbound

This paper cites an unresolved cited work.

Triangle-free $d$-degenerate graphs have small fractional chromatic number Unresolved cited work

Reference 27

Resolution
unresolved
raw_fallback, observed 2026-08-10T00:24:26.844957Z

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=2026-08-10T00:24:26.488885Z digest=sha256:7c50281c50a33a1618d2576083260ba1e437c6f16a4506962b34a544455abae6

Pith citing papers

No inbound Pith citation observations are available.