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Paper Citation Record · LEDGER

Refined Vertex Sparsifiers of Planar Graphs

As of 20 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 2 inbound Pith citation observations for arXiv:1702.05951.

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

pith.paper-citation-record.v1
1702.05951 v3

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 2 of 2 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-20T06:33:59.587034+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-07-12T06:25:09.946876Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-04T20:40:08.560111Z

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 4825f7da-197b-490f-a54a-a2dd3450385e · inbound

Paths and Intersections: Recognizing Outerplanar Metrics cites this paper.

Paths and Intersections: Recognizing Outerplanar Metrics Refined Vertex Sparsifiers of Planar Graphs

Reference 68

Resolution
verified exact
arxiv_id, observed 2026-07-04T20:40:08.561707Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-06-25T19:48:10.529872Z digest=sha256:0ca67bea51ae4c5a68f8d05ee4ab30bdd0471e056e94dde2c8b76ab8278f4815

Observation e3244c3e-1b06-400c-92eb-612ab72fef12 · inbound

Paths and Intersections: Minimum Realization of Okamura-Seymour Instances cites this paper.

Paths and Intersections: Minimum Realization of Okamura-Seymour Instances Refined Vertex Sparsifiers of Planar Graphs

Reference 74

Resolution
unresolved
no resolver link, observed 2026-07-12T06:25:09.946876Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-07-12T06:25:09.946876Z digest=sha256:eec9dc8c4717b382b3ed5387a9a6e3408961b7cc88a1ee8281e46d1c304e480c