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Paper Citation Record · LEDGER

Paths and Intersections: Recognizing Outerplanar Metrics

As of 13 August 2026, this Paper Citation Record lists 6 of 6 outbound references and 1 inbound Pith citation observation for arXiv:2606.25827.

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

pith.paper-citation-record.v1
2606.25827 v2

Coverage vector

measured 6 of 6 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-07-12T12:11:39.634286Z

measured 7 of 7 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 2026-07-12T06:25:09.946876Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

6 of 6 outbound references displayed

  • verified exact0
  • verified fuzzy0
  • unresolved6
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 53358633-83e9-4f36-8e5d-a41a718272e2 · outbound

This paper cites A Local-to-Global Theorem for Congested Shortest Paths.

Paths and Intersections: Recognizing Outerplanar Metrics A Local-to-Global Theorem for Congested Shortest Paths

Reference 1

Resolution
unresolved
no resolver link, observed 2026-07-12T12:11:39.634286Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-12T12:11:39.634286Z digest=sha256:d2db6f04b9fb7705805052ed2c39ca20353105fd54458851ef3351ee1252b039

Observation d3772aed-0b75-4400-ba71-35c6ea6ef82d · outbound

This paper cites Graph realization of distance sets.

Paths and Intersections: Recognizing Outerplanar Metrics Graph realization of distance sets

Reference 2

Resolution
unresolved
no resolver link, observed 2026-07-12T12:11:39.634286Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-12T12:11:39.634286Z digest=sha256:edd9ac04373f3f4b711c0791ab381bf4faa8a23ef7a5ccdf36597878a3a3887b

Observation 46e10ec3-41ab-4b88-ae5c-adcb4b65c7ce · outbound

This paper cites On the structure of unique shortest paths in graphs.

Paths and Intersections: Recognizing Outerplanar Metrics On the structure of unique shortest paths in graphs

Reference 3

Resolution
unresolved
no resolver link, observed 2026-07-12T12:11:39.634286Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-12T12:11:39.634286Z digest=sha256:b23ac09cd943996e43bc825209db3ffef5c8de9f83632b5c439c16f64bf6140d

Observation 24c37daa-5023-43d2-aabb-1c8101990856 · outbound

This paper cites Planar emulators for monge matrices.

Paths and Intersections: Recognizing Outerplanar Metrics Planar emulators for monge matrices

Reference 4

Resolution
unresolved
no resolver link, observed 2026-07-12T12:11:39.634286Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-12T12:11:39.634286Z digest=sha256:329a3e9003e2c38a83ac69b23e8449405f9e2cc9608ebabbfd5f94d489e5277d

Observation acb79cad-656a-4d64-aa46-b29932787369 · outbound

This paper cites Path and intersections: Characterization of quasi-metrics in directed okamura-seymour instances.

Paths and Intersections: Recognizing Outerplanar Metrics Path and intersections: Characterization of quasi-metrics in directed okamura-seymour instances

Reference 5

Resolution
unresolved
no resolver link, observed 2026-07-12T12:11:39.634286Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-12T12:11:39.634286Z digest=sha256:4a630f53a4cdf2e0b668e866b5bd4bd6370f3ef8af3adf6f57584b0ee45e6d3b

Observation 8c43e349-1bdf-45bd-a30b-f594621cce21 · outbound

This paper cites Paths and Intersections: Exact Emulators for Planar Graphs.

Paths and Intersections: Recognizing Outerplanar Metrics Paths and Intersections: Exact Emulators for Planar Graphs

Reference 6

Resolution
unresolved
no resolver link, observed 2026-07-12T12:11:39.634286Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-12T12:11:39.634286Z digest=sha256:ea189ca33ab5acc645de6f790676fd691776c2653dac368fe34e8e0cf566b521

Pith citing papers

Observation e7450908-e23f-488c-9d83-a93e93cf1e97 · inbound

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

Paths and Intersections: Minimum Realization of Okamura-Seymour Instances Paths and Intersections: Recognizing Outerplanar Metrics

Reference 1

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=sha256:61e99b50a4ece77bfa3085ec60c403f8266c91633812944c2f6af701622499d3