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Paper Citation Record · LEDGER

An exponential lower bound for cut sparsifiers in planar graphs

As of 4 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 2 inbound Pith citation observations for arXiv:1706.06086.

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

pith.paper-citation-record.v1
1706.06086 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 2026-08-04T06:34:03.388597+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: pith, observed 2026-07-04T20:40:08.555099Z

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 d1254212-1dd3-4500-a386-fdc14964024f · inbound

Paths and Intersections: Recognizing Outerplanar Metrics cites this paper.

Paths and Intersections: Recognizing Outerplanar Metrics An exponential lower bound for cut sparsifiers in planar graphs

Reference 65

Resolution
metadata mismatch
local_arxiv, observed 2026-07-04T20:40:08.556728Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=arxiv_source observed=2026-06-25T19:48:10.529872Z digest=sha256:4882bf392f2f3af850930febbdd1c8408a11f868cae8e944e571eaecab347783

Observation f08ffda2-fbb6-4ccf-9028-c3b9ca2c8618 · inbound

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

Paths and Intersections: Minimum Realization of Okamura-Seymour Instances An exponential lower bound for cut sparsifiers in planar graphs

Reference 71

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:b5508f31348d540616b32b53e4856de5702112051a8cdfb4a2eb48bfa719b2e4