Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-06T18:02:17.295621Z
Paper Citation Record · LEDGER
Paths and Intersections: Exact Emulators for Planar Graphs
As of 13 August 2026, this Paper Citation Record lists 20 of 20 outbound references and 3 inbound Pith citation observations for arXiv:2507.09620.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-07-12T12:11:39.634286Z
A source-named dated measurement, never combined with another source.
Source: arxiv_reference, observed 2026-07-04T20:40:08.525667Z
Reference resolution
20 of 20 outbound references displayed
- verified exact0
- verified fuzzy20
- unresolved0
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 92eeed4b-6c73-4aa1-9190-653db44efe68 · outbound
This paper cites Steiner point removal in graph metrics.
Paths and Intersections: Exact Emulators for Planar Graphs Steiner point removal in graph metrics
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T18:02:20.972357Z
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.
Observation 71df2634-62e5-4eac-9127-c862503a5f69 · outbound
This paper cites Covering planar metrics (and beyond): O(1) trees suffice.
Paths and Intersections: Exact Emulators for Planar Graphs Covering planar metrics (and beyond): O(1) trees suffice
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T18:02:20.830502Z
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.
Observation f556fde8-4cae-4d18-bcd9-5b4e7135cd4c · outbound
This paper cites Shortcut partitions in minor-free graphs: Steiner point removal, distance oracles, tree covers, and more.
Paths and Intersections: Exact Emulators for Planar Graphs Shortcut partitions in minor-free graphs: Steiner point removal, distance oracles, tree covers, and more
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T18:02:20.707454Z
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.
Observation 4adb255d-51da-44f8-9d0a-e9f8483b25b4 · outbound
This paper cites Near-optimal distance emulator for planar graphs.
Paths and Intersections: Exact Emulators for Planar Graphs Near-optimal distance emulator for planar graphs
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T18:02:20.551905Z
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.
Observation d8a5c04f-53ec-4bf0-a957-7e085ad2db93 · outbound
This paper cites Steiner point removal: distant terminals don't (really) bother.
Paths and Intersections: Exact Emulators for Planar Graphs Steiner point removal: distant terminals don't (really) bother
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T18:02:20.390156Z
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.
Observation 7d1fb6a9-0608-4f34-b346-a261d1194359 · outbound
This paper cites Almost-linear -emulators for planar graphs.
Paths and Intersections: Exact Emulators for Planar Graphs Almost-linear -emulators for planar graphs
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T18:02:20.251385Z
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.
Observation ce63e2c0-3329-438c-8abc-1a32c56e8be4 · outbound
This paper cites Planar emulators for Monge matrices.
Paths and Intersections: Exact Emulators for Planar Graphs Planar emulators for Monge matrices
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T18:02:20.096817Z
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.
Observation 855fdf5a-33f9-466b-9ad0-0312c809e70f · outbound
This paper cites An O( |T|) lower bound for Steiner point removal.
Paths and Intersections: Exact Emulators for Planar Graphs An O( |T|) lower bound for Steiner point removal
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T18:02:19.926767Z
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.
Observation ed28dcc2-fc3f-4229-b9ed-6105c331745b · outbound
This paper cites Path and intersections: Characterization of quasi-metrics in directed Okamura-Seymour instances.
Paths and Intersections: Exact Emulators for Planar Graphs Path and intersections: Characterization of quasi-metrics in directed Okamura-Seymour instances
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T18:02:19.786060Z
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.
Observation 5c74ed47-4449-471d-8ed1-0b4a8383ef23 · outbound
This paper cites A tight lower bound for the Steiner point removal problem on trees.
Paths and Intersections: Exact Emulators for Planar Graphs A tight lower bound for the Steiner point removal problem on trees
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T18:02:19.657810Z
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.
Observation 556bf5a7-7edc-427c-938a-4361290e2f98 · outbound
This paper cites Holiest minimum-cost paths and flows in surface graphs.
Paths and Intersections: Exact Emulators for Planar Graphs Holiest minimum-cost paths and flows in surface graphs
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T18:02:19.520137Z
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.
Observation a8de26f2-a6f9-4132-9937-a8b900947c91 · outbound
This paper cites A Fourier -f \'e le mechanikai elv algebrai alapja.
Paths and Intersections: Exact Emulators for Planar Graphs A Fourier -f \'e le mechanikai elv algebrai alapja
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T18:02:19.393661Z
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.
Observation 24d203a0-ceff-4b7e-ae5b-aeb6086d7ef3 · outbound
This paper cites Steiner point removal with distortion O( k) using the relaxed- Voronoi algorithm.
Paths and Intersections: Exact Emulators for Planar Graphs Steiner point removal with distortion O( k) using the relaxed- Voronoi algorithm
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T18:02:19.258065Z
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.
Observation b77eb263-f1f5-4f15-be82-7803e35b02a2 · outbound
This paper cites Scattering and sparse partitions, and their applications.
Paths and Intersections: Exact Emulators for Planar Graphs Scattering and sparse partitions, and their applications
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T18:02:19.114482Z
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.
Observation 4d602a2b-39a7-4558-89eb-d2ca2985081d · outbound
This paper cites Improved guarantees for vertex sparsification in planar graphs.
Paths and Intersections: Exact Emulators for Planar Graphs Improved guarantees for vertex sparsification in planar graphs
Reference 15
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T18:02:18.876456Z
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.
Observation e94ae372-98c7-487b-9dc4-5971a79a6603 · outbound
This paper cites Steiner points in tree metrics don't (really) help.
Paths and Intersections: Exact Emulators for Planar Graphs Steiner points in tree metrics don't (really) help
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T18:02:18.657972Z
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.
Observation 5a2b0f6c-ecd6-4f21-8279-e62b495626d1 · outbound
This paper cites Ellis Hershkowitz and Jason Li.
Paths and Intersections: Exact Emulators for Planar Graphs Ellis Hershkowitz and Jason Li
Reference 17
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T18:02:18.419780Z
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.
Observation e031687f-1bec-4904-9197-2a55baeee7c9 · outbound
This paper cites Cutting corners cheaply, or how to remove Steiner points.
Paths and Intersections: Exact Emulators for Planar Graphs Cutting corners cheaply, or how to remove Steiner points
Reference 18
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T18:02:18.150001Z
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.
Observation 87b32596-37b2-4794-ae12-f9944e9f9f43 · outbound
This paper cites Preserving terminal distances using minors.
Paths and Intersections: Exact Emulators for Planar Graphs Preserving terminal distances using minors
Reference 19
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T18:02:17.860302Z
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.
Observation be73ebff-da71-4e57-9722-ea234a37b048 · outbound
This paper cites Multicommodity flows in planar graphs.
Paths and Intersections: Exact Emulators for Planar Graphs Multicommodity flows in planar graphs
Reference 20
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T18:02:17.540249Z
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.
Pith citing papers
Observation 212c6796-5e72-4b46-b9a0-fe80afc3e09a · inbound
Paths and Intersections: Recognizing Outerplanar Metrics cites this paper.
Paths and Intersections: Recognizing Outerplanar Metrics Paths and Intersections: Exact Emulators for Planar Graphs
Reference 1
- Resolution
- verified exact
- arxiv_id, observed 2026-07-04T20:40:08.528589Z
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.
Observation 8c43e349-1bdf-45bd-a30b-f594621cce21 · inbound
Paths and Intersections: Recognizing Outerplanar Metrics cites this paper.
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.
Observation 23965ab7-9c72-4fae-9d67-0df7407e5df5 · 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: Exact Emulators for Planar Graphs
Reference 7
- Resolution
- unresolved
- no resolver link, observed 2026-07-12T06:25:09.946876Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.