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Paper Citation Record · LEDGER

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

As of 13 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 3 inbound Pith citation observations for arXiv:2409.01513.

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

pith.paper-citation-record.v1
2409.01513 v1

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 3 of 3 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 3 of 3 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-10T23:00:46.885190Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: arxiv_reference, observed 2026-05-15T18:40:14.659632Z

Reference resolution

0 of 0 outbound references displayed

  • verified exact0
  • verified fuzzy0
  • unresolved0
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

No outbound reference observations are available for this paper version.

Pith citing papers

Observation fdfc47b8-5e5f-4509-a5c9-dc6bb126d708 · inbound

Local Shearer bound cites this paper.

Local Shearer bound Bipartite graphs are $(\frac{4}{5}-\varepsilon) \frac{\Delta}{\log \Delta}$-choosable

Reference 11

Resolution
unresolved
no resolver link, observed 2026-08-10T23:00:46.885190Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T23:00:46.885190Z digest=sha256:3a1de49aa76dbfef92134c3f1f853d315087d4ae4030aaf6952e505fb93d2206

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

Triangle-free $d$-degenerate graphs have small fractional chromatic number cites this paper.

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=sha256:6c66f87c565a0b13900c06637eb6863e128a2b49273c5972ddf661b1bee8c835

Observation 6d4ef4f4-b864-4f86-bd2d-5942fa91d638 · inbound

On the list version of a conjecture of Erd\H{o}s and Neumann-Lara cites this paper.

On the list version of a conjecture of Erd\H{o}s and Neumann-Lara Bipartite graphs are $(\frac{4}{5}-\varepsilon) \frac{\Delta}{\log \Delta}$-choosable

Reference 5

Resolution
verified exact
arxiv_id, observed 2026-05-15T18:40:14.663054Z

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=2026-05-15T18:38:51.247364Z digest=sha256:da7e0fcac3a0f9c449df2fb00778a35f5174fa202469c198d7e2130b2f94ddbf