Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-07-10T17:38:19.230508Z
Paper Citation Record · LEDGER
Separation profiles of hyperbolic planar and apex-minor-free graphs
As of 9 August 2026, this Paper Citation Record lists 22 of 22 outbound references and 0 inbound Pith citation observations for arXiv:2607.07809.
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 2026-08-09T06:31:02.800959+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
Reference resolution
22 of 22 outbound references displayed
- verified exact2
- verified fuzzy17
- unresolved3
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 64bc5893-2c52-4ce6-bde1-43df979f356b · outbound
This paper cites Benjamini, O.
Separation profiles of hyperbolic planar and apex-minor-free graphs Benjamini, O
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-10T17:47:26.365160Z
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.
Observation ce1de71e-e019-4541-8e2b-1dca46a001bd · outbound
This paper cites Berger and P.
Separation profiles of hyperbolic planar and apex-minor-free graphs Berger and P
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-10T17:47:26.368675Z
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.
Observation 92ba6558-7dcb-4bb5-8182-f36e1d69d055 · outbound
This paper cites Berger, C.
Separation profiles of hyperbolic planar and apex-minor-free graphs Berger, C
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-10T17:47:26.367070Z
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.
Observation b250f092-ebf0-4087-9b0f-9c2af7e83a4a · outbound
This paper cites Bielak and M.
Separation profiles of hyperbolic planar and apex-minor-free graphs Bielak and M
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-10T17:47:26.363442Z
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.
Observation 72c403b3-da6f-4e50-b68b-8be7e84844ed · outbound
This paper cites an unresolved cited work.
Separation profiles of hyperbolic planar and apex-minor-free graphs Unresolved cited work
Reference 5
- Resolution
- unresolved
- raw_fallback, observed 2026-07-10T17:47:26.370245Z
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.
Observation beff22c9-73b6-4120-9665-93452d91723b · outbound
This paper cites Chepoi, F.
Separation profiles of hyperbolic planar and apex-minor-free graphs Chepoi, F
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-10T17:47:26.353873Z
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.
Observation a9e0f16c-d949-46ed-ac23-62f8cc0a555d · outbound
This paper cites Chepoi, F.
Separation profiles of hyperbolic planar and apex-minor-free graphs Chepoi, F
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-10T17:47:26.357062Z
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.
Observation 1d5b159d-2207-442a-bedf-6857a7f9c86b · outbound
This paper cites Chuzhoy and Z.
Separation profiles of hyperbolic planar and apex-minor-free graphs Chuzhoy and Z
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-10T17:47:26.369660Z
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.
Observation 5f7985e9-a61b-404d-9cfb-5c0f0c3c1ed8 · outbound
This paper cites Coudert, G.
Separation profiles of hyperbolic planar and apex-minor-free graphs Coudert, G
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-10T17:47:26.363908Z
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.
Observation 3afc1df7-f04a-4c71-8e2c-be22eaab62b1 · outbound
This paper cites Dieng and C.
Separation profiles of hyperbolic planar and apex-minor-free graphs Dieng and C
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-10T17:47:26.371909Z
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.
Observation 2c8b269f-148a-46bf-987c-ca6a57a9c2a0 · outbound
This paper cites Dvořák and S.
Separation profiles of hyperbolic planar and apex-minor-free graphs Dvořák and S
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-10T17:47:26.350222Z
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.
Observation 9fba1566-c5d2-4d99-a1c0-c169cbf1d922 · outbound
This paper cites Ghys and P.
Separation profiles of hyperbolic planar and apex-minor-free graphs Ghys and P
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-10T17:47:26.352109Z
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.
Observation 34abe416-41d4-4dfe-9c90-f02df811b7fb · outbound
This paper cites Gournay and C.
Separation profiles of hyperbolic planar and apex-minor-free graphs Gournay and C
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-10T17:47:26.346689Z
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.
Observation 24e232ea-cd6d-4c82-9e06-cf6659c08548 · outbound
This paper cites Graph and Algorithms.
Separation profiles of hyperbolic planar and apex-minor-free graphs Graph and Algorithms
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-10T17:47:26.344800Z
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.
Observation a2134ea4-f435-4767-9ab4-12ce46a01d1a · outbound
This paper cites Gromov,Hyperbolic groups, Essays in group theory, 1987, pp.
Separation profiles of hyperbolic planar and apex-minor-free graphs Gromov,Hyperbolic groups, Essays in group theory, 1987, pp
Reference 15
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-10T17:47:26.348434Z
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.
Observation 0f4a976f-8cc9-44c3-b70f-e8ac310929c6 · outbound
This paper cites Separation Number and Treewidth, Revisited.
Separation profiles of hyperbolic planar and apex-minor-free graphs Separation Number and Treewidth, Revisited
Reference 16
- Resolution
- verified exact
- local_arxiv, observed 2026-07-10T17:47:25.482131Z
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.
Observation 73c4c3cf-e60b-4b70-b96e-3aace65ac1e4 · outbound
This paper cites Separation profiles of free products.
Separation profiles of hyperbolic planar and apex-minor-free graphs Separation profiles of free products
Reference 17
- Resolution
- verified exact
- local_arxiv, observed 2026-07-10T17:47:25.479168Z
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.
Observation c1c8b155-8bf5-457c-9840-0fda327eb41d · outbound
This paper cites an unresolved cited work.
Separation profiles of hyperbolic planar and apex-minor-free graphs Unresolved cited work
Reference 18
- Resolution
- unresolved
- raw_fallback, observed 2026-07-10T17:47:26.342635Z
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.
Observation b2e5433a-cd0d-419f-9440-7eb0409fd4c0 · outbound
This paper cites 5, 1063–1133.
Separation profiles of hyperbolic planar and apex-minor-free graphs 5, 1063–1133
Reference 19
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-10T17:47:26.336056Z
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.
Observation f7fb471d-cd2e-4793-8fc9-96c83cfdb8da · outbound
This paper cites Kisfaludi-Bak, J.
Separation profiles of hyperbolic planar and apex-minor-free graphs Kisfaludi-Bak, J
Reference 20
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-10T17:47:26.338121Z
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.
Observation 95861581-047a-453e-82b3-42b35b63283b · outbound
This paper cites J Lipton and R.
Separation profiles of hyperbolic planar and apex-minor-free graphs J Lipton and R
Reference 21
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-10T17:47:26.346892Z
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.
Observation c42de115-1ce7-4c6f-88c9-5069ffe6d6a9 · outbound
This paper cites an unresolved cited work.
Separation profiles of hyperbolic planar and apex-minor-free graphs Unresolved cited work
Reference 22
- Resolution
- unresolved
- raw_fallback, observed 2026-07-10T17:47:26.349176Z
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.
Pith citing papers
No inbound Pith citation observations are available.