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Paper Citation Record · LEDGER

Separation axiom $S_3$ for geodesic convexity in graphs

As of 9 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 3 inbound Pith citation observations for arXiv:2405.07512.

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

pith.paper-citation-record.v1
2405.07512 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 2026-08-09T06:31:02.800959+00:00

measured 3 of 3 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-06T22:01:44.291719Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-10T23:50:56.200642Z

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 e1a5d575-323d-4bb0-9e27-1c4c89ee3b15 · inbound

Efficient Algorithms for Learning and Compressing Monophonic Halfspaces in Graphs cites this paper.

Efficient Algorithms for Learning and Compressing Monophonic Halfspaces in Graphs Separation axiom $S_3$ for geodesic convexity in graphs

Reference 21

Resolution
unresolved
no resolver link, observed 2026-08-06T22:01:44.291719Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-06T22:01:44.291719Z digest=sha256:2e928880ce21a3806626d4d83af4d6b2280fe65e4d7e0c7c41f524d797c064b9

Observation eeb91796-cab9-497b-aec7-6dde2ab30022 · inbound

Smooth Graphs cites this paper.

Smooth Graphs Separation axiom $S_3$ for geodesic convexity in graphs

Reference 13

Resolution
verified exact
arxiv_id, observed 2026-05-10T23:50:56.204875Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-05-10T18:50:17.840566Z digest=sha256:aca33565a74a9c06cc0d4540d9b968a82321c1620012156e211e0c1dbacf2fa4

Observation b726a56d-e770-4f81-a585-5b5e3fc9895a · inbound

Halfspace separation in geodesic convexity cites this paper.

Halfspace separation in geodesic convexity Separation axiom $S_3$ for geodesic convexity in graphs

Reference 18

Resolution
verified exact
arxiv_id, observed 2026-05-10T07:47:12.244759Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-05-10T07:46:13.522793Z digest=sha256:cfb4e0dfb16fc820c650fb742f829aa10ec6dbbad756b4be07fe035918844b3c