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Paper Citation Record · LEDGER

$2$-Layer $k$-Planar Graphs: Density, Crossing Lemma, Relationships, and Pathwidth

As of 13 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 1 inbound Pith citation observation for arXiv:2008.09329.

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

pith.paper-citation-record.v1
2008.09329 v1

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 1 of 1 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 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-11T22:01:56.383224Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-11T22:01:57.884861Z

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 622d3db4-1fb8-4143-84da-baf8fba47df1 · inbound

Recognizing 2-Layer and Outer $k$-Planar Graphs cites this paper.

Recognizing 2-Layer and Outer $k$-Planar Graphs $2$-Layer $k$-Planar Graphs: Density, Crossing Lemma, Relationships, and Pathwidth

Reference 3

Resolution
verified exact
local_arxiv, observed 2026-08-11T22:01:57.890116Z

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=arxiv_source observed=2026-08-11T22:01:56.383224Z digest=sha256:aa1ac6e03bf41e1d6cd07c7ebc7700a4dbe84224cde39a1891fb8f12f757b54c