Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-07T12:04:41.444083Z
Paper Citation Record · LEDGER
On the average scale-invariant Cassinian metric
As of 20 August 2026, this Paper Citation Record lists 36 of 36 outbound references and 0 inbound Pith citation observations for arXiv:2506.00810.
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 2026-08-20T06:33:59.587034+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
36 of 36 outbound references displayed
- verified exact8
- verified fuzzy18
- unresolved9
- parse uncertain0
- malformed identifier0
- metadata mismatch1
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 028b11ea-8864-4843-a460-d12fc28668c1 · outbound
This paper cites an unresolved cited work.
On the average scale-invariant Cassinian metric Unresolved cited work
Reference 1
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T12:04:43.754934Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 644b177d-f935-4c95-b6bc-8e2cfcddae6e · outbound
This paper cites Hilbert metric and quasiconformal mappings.
On the average scale-invariant Cassinian metric Hilbert metric and quasiconformal mappings
Reference 2
- Resolution
- unresolved
- no resolver link, observed 2026-08-07T12:04:40.364111Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 93dbf9e0-c5e6-49d8-a109-7396ae8c519c · outbound
This paper cites an unresolved cited work.
On the average scale-invariant Cassinian metric Unresolved cited work
Reference 3
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T12:04:43.692844Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 03ddb3db-7779-4dce-a86c-830c9943c1fb · outbound
This paper cites an unresolved cited work.
On the average scale-invariant Cassinian metric Unresolved cited work
Reference 4
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T12:04:43.630333Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 4f26045b-b9ea-4213-9b9a-3871ba9055d1 · outbound
This paper cites an unresolved cited work.
On the average scale-invariant Cassinian metric Unresolved cited work
Reference 5
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T12:04:43.585201Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 19f942b2-13a1-4c03-8c16-42a3de71594f · outbound
This paper cites Borovikova and Z.
On the average scale-invariant Cassinian metric Borovikova and Z
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T12:04:43.523445Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 307a0761-cba5-4990-8a50-e4056e5ee414 · outbound
This paper cites an unresolved cited work.
On the average scale-invariant Cassinian metric Unresolved cited work
Reference 7
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T12:04:43.459452Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 8a113c30-62ec-4c2a-9b64-7c00f3e291c5 · outbound
This paper cites Chen and X.
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T12:04:43.398234Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 591e4b3f-4ed3-4008-af67-f0307b0886ff · outbound
This paper cites Formulas for the visual angle metric.
On the average scale-invariant Cassinian metric Formulas for the visual angle metric
Reference 9
- Resolution
- verified exact
- local_arxiv, observed 2026-08-07T12:04:42.277519Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation a9f47a03-5da3-45a9-bbeb-4ce0f87fbe3e · outbound
This paper cites Visual angle metric in the upper half plane.
On the average scale-invariant Cassinian metric Visual angle metric in the upper half plane
Reference 10
- Resolution
- verified exact
- local_arxiv, observed 2026-08-07T12:04:42.215952Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 5cea478e-7bad-4f16-9b66-522c9dd8eebe · outbound
This paper cites Fujimura and M.
On the average scale-invariant Cassinian metric Fujimura and M
Reference 11
- Resolution
- unresolved
- no resolver link, observed 2026-08-07T12:04:40.646010Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 3b492aa6-182e-48d1-81c1-f89179bbd511 · outbound
This paper cites an unresolved cited work.
On the average scale-invariant Cassinian metric Unresolved cited work
Reference 12
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T12:04:43.338170Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation a7508e06-ad66-4ffb-aa2c-ee5baea28d10 · outbound
This paper cites an unresolved cited work.
On the average scale-invariant Cassinian metric Unresolved cited work
Reference 13
- Resolution
- unresolved
- no resolver link, observed 2026-08-07T12:04:40.714251Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 9b65ae47-514e-4905-9cbb-27c86506748e · outbound
This paper cites Hariri, R.
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T12:04:43.248610Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation a990f92f-1f6c-4e70-a108-76f9543d6778 · outbound
This paper cites Hariri, M.
Reference 15
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T12:04:43.179131Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 93c951ce-79f2-4393-bf19-b42f251ee3e1 · outbound
This paper cites H ¨ast¨o, A new weighted metric: the relative metric.
On the average scale-invariant Cassinian metric H ¨ast¨o, A new weighted metric: the relative metric
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T12:04:43.119708Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 0af3a6f8-a360-4dcc-b015-5762b667df4b · outbound
This paper cites H ¨ast¨o, The Apollonian metric: uniformity and quasiconvexity, Ann.
On the average scale-invariant Cassinian metric H ¨ast¨o, The Apollonian metric: uniformity and quasiconvexity, Ann
Reference 17
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T12:04:43.065428Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation a18e2b3d-cb47-4b9b-868a-ca9a0830cd24 · outbound
This paper cites H ¨ast¨o and H.
On the average scale-invariant Cassinian metric H ¨ast¨o and H
Reference 18
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T12:04:43.006340Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 43db4cd2-0b4c-4efa-af4c-8618b3334f7b · outbound
This paper cites Hokuni, R.
Reference 19
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T12:04:42.949924Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 6f0a34fd-427b-4bfc-aebc-c2b73fe977a0 · outbound
This paper cites Ibragimov, The Cassinian metric of a domain in ¯Rn, Uzbek.
On the average scale-invariant Cassinian metric Ibragimov, The Cassinian metric of a domain in ¯Rn, Uzbek
Reference 20
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T12:04:42.892875Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 17d5eed5-e86c-4859-aec7-ccd56cdc30c7 · outbound
This paper cites Ibragimov, Hyperbolizing metric spaces, Proc.
On the average scale-invariant Cassinian metric Ibragimov, Hyperbolizing metric spaces, Proc
Reference 21
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T12:04:42.831253Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation beff7020-2788-492a-8b6a-d0c1d46d74fb · outbound
This paper cites Ibragimov, A scale-invariant Cassinian metric, J.
On the average scale-invariant Cassinian metric Ibragimov, A scale-invariant Cassinian metric, J
Reference 22
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T12:04:42.768981Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation e87c24ad-efd7-42a5-946d-1d2f9906d81c · outbound
This paper cites Ibragimov, M.
On the average scale-invariant Cassinian metric Ibragimov, M
Reference 23
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T12:04:42.714395Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 3a972516-677f-44dd-98eb-64904c5419a7 · outbound
This paper cites Kl ´ en, M.
Reference 24
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T12:04:42.643257Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 21a18b6f-3601-4cf2-895f-48bfe4d68ac9 · outbound
This paper cites A naive generalization of the hyperbolic and the quasihyperbolic metrics.
On the average scale-invariant Cassinian metric A naive generalization of the hyperbolic and the quasihyperbolic metrics
Reference 25
- Resolution
- verified exact
- local_arxiv, observed 2026-08-07T12:04:42.070582Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 5e6ed806-817d-4307-ab83-921f0a007861 · outbound
This paper cites Mocanu , Generalizations of four hyperbolic-type metrics and Gromov hype rbolicity.
On the average scale-invariant Cassinian metric Mocanu , Generalizations of four hyperbolic-type metrics and Gromov hype rbolicity
Reference 26
- Resolution
- metadata mismatch
- raw_fallback, observed 2026-08-07T12:04:42.005703Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation d478a356-2185-44d6-871e-13361bdd202c · outbound
This paper cites Rainio, Inequalities for the Geometric-Mean Distance Metric.
On the average scale-invariant Cassinian metric Rainio, Inequalities for the Geometric-Mean Distance Metric
Reference 27
- Resolution
- verified exact
- doi, observed 2026-08-07T12:04:41.659050Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation a1d03021-34ee-4178-b23d-0593d723fdaf · outbound
This paper cites Hilbert metric in the unit ball.
On the average scale-invariant Cassinian metric Hilbert metric in the unit ball
Reference 28
- Resolution
- verified exact
- local_arxiv, observed 2026-08-07T12:04:41.792181Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation f36f4120-2c28-44cd-892c-063b03ef0c66 · outbound
This paper cites Rasila and J.
On the average scale-invariant Cassinian metric Rasila and J
Reference 29
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T12:04:42.582923Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 98b8ab0e-0a35-4e37-bc95-8c3b8806567b · outbound
This paper cites On families of Finsler metrics.
On the average scale-invariant Cassinian metric On families of Finsler metrics
Reference 30
- Resolution
- verified exact
- local_arxiv, observed 2026-08-07T12:04:41.719576Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 2fdd8dfc-2204-4d35-be42-ea9878b33767 · outbound
This paper cites Seittenranta, M¨ obius-invariant metrics,Math.
On the average scale-invariant Cassinian metric Seittenranta, M¨ obius-invariant metrics,Math
Reference 31
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T12:04:42.522903Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 8ddd5e01-d757-4cbe-a024-6c3bbee264db · outbound
This paper cites Song and G.
Reference 32
- Resolution
- verified exact
- doi, observed 2026-08-07T12:04:41.604870Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 8c56e9c2-1ad4-4c67-92bb-5c7dbe973556 · outbound
This paper cites Vuorinen, Conformal invariants and quasiregular mappings, J.
On the average scale-invariant Cassinian metric Vuorinen, Conformal invariants and quasiregular mappings, J
Reference 33
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T12:04:42.468805Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 7b68917a-cf00-497b-9646-1b7a353466ca · outbound
This paper cites Vuorinen, Conformal geometry and quasiregular mappings , Lecture notes in mathematics 1319, Springer-Verlag, Berlin, 1988.
On the average scale-invariant Cassinian metric Vuorinen, Conformal geometry and quasiregular mappings , Lecture notes in mathematics 1319, Springer-Verlag, Berlin, 1988
Reference 34
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T12:04:42.402317Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 1d17a628-d3b7-4ada-9bc6-d4e3402cafb1 · outbound
This paper cites W ang, X.
Reference 35
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T12:04:42.354770Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 6bb79253-f28f-4ffc-8d57-e2fee7f7fb32 · outbound
This paper cites an unresolved cited work.
On the average scale-invariant Cassinian metric Unresolved cited work
Reference 36
- Resolution
- verified exact
- doi, observed 2026-08-07T12:04:41.546664Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Pith citing papers
No inbound Pith citation observations are available.