Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-07T04:31:37.891203Z
Paper Citation Record · LEDGER
Uniqueness and dimension for the geodesic of the critical long-range percolation metric
As of 21 August 2026, this Paper Citation Record lists 15 of 15 outbound references and 0 inbound Pith citation observations for arXiv:2506.10511.
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
15 of 15 outbound references displayed
- verified exact2
- verified fuzzy9
- unresolved4
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 7cf55b63-5722-4b71-9460-8cefc4b2e30c · outbound
This paper cites Alessandro and S.
Uniqueness and dimension for the geodesic of the critical long-range percolation metric Alessandro and S
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T04:31:40.195546Z
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 6360526d-5eb5-4ceb-9f95-76179753144e · outbound
This paper cites an unresolved cited work.
Uniqueness and dimension for the geodesic of the critical long-range percolation metric Unresolved cited work
Reference 2
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T04:31:39.985291Z
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 c1c78f2c-2225-4e54-a884-c8d087be454a · outbound
This paper cites The polynomial growth of the infinite long-range percolation cluster.
Uniqueness and dimension for the geodesic of the critical long-range percolation metric The polynomial growth of the infinite long-range percolation cluster
Reference 3
- Resolution
- verified exact
- local_arxiv, observed 2026-08-07T04:31:38.168091Z
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 a4d9d919-e154-445a-9667-45e6e977c31c · outbound
This paper cites Coppersmith, D.
Uniqueness and dimension for the geodesic of the critical long-range percolation metric Coppersmith, D
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T04:31:39.741612Z
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 1d87a77a-4e66-4640-8a70-4cdd6596631a · outbound
This paper cites an unresolved cited work.
Uniqueness and dimension for the geodesic of the critical long-range percolation metric Unresolved cited work
Reference 5
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T04:31:39.622823Z
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 aa4874ed-66ee-48e3-ad25-c85825b190b2 · outbound
This paper cites an unresolved cited work.
Uniqueness and dimension for the geodesic of the critical long-range percolation metric Unresolved cited work
Reference 6
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T04:31:39.469909Z
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 c535cb34-45be-46d0-ade4-92bfdc294b84 · outbound
This paper cites Ding and E.
Uniqueness and dimension for the geodesic of the critical long-range percolation metric Ding and E
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T04:31:39.240590Z
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 09133dd6-d4c3-443a-817a-dd3dd7028294 · outbound
This paper cites Distances in critical long range percolation.
Uniqueness and dimension for the geodesic of the critical long-range percolation metric Distances in critical long range percolation
Reference 8
- Resolution
- verified exact
- local_arxiv, observed 2026-08-07T04:31:38.026317Z
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 6a87467b-1562-4adb-be43-3067f48a6dba · outbound
This paper cites Ding and C.K.
Uniqueness and dimension for the geodesic of the critical long-range percolation metric Ding and C.K
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T04:31:39.102874Z
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 eb7effac-7c19-4d4f-a9b3-48a4ee665793 · outbound
This paper cites Gallo, N.L.
Uniqueness and dimension for the geodesic of the critical long-range percolation metric Gallo, N.L
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T04:31:38.902170Z
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 42087828-5835-4ecc-9c3a-7ad8556c08e2 · outbound
This paper cites Gwynne and J.
Uniqueness and dimension for the geodesic of the critical long-range percolation metric Gwynne and J
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T04:31:38.763550Z
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 c7c3e1f9-d93e-4fd8-b193-64b4491531ee · outbound
This paper cites an unresolved cited work.
Uniqueness and dimension for the geodesic of the critical long-range percolation metric Unresolved cited work
Reference 12
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T04:31:38.651398Z
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 2a0e878f-53c0-4988-9510-2aede53682a3 · outbound
This paper cites Cambridge Series in Statistical and Probabilistic Math- ematics.
Uniqueness and dimension for the geodesic of the critical long-range percolation metric Cambridge Series in Statistical and Probabilistic Math- ematics
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T04:31:38.510473Z
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 9320cfc7-96dd-443f-b43b-6faf1c97b898 · outbound
This paper cites Russell and K.
Uniqueness and dimension for the geodesic of the critical long-range percolation metric Russell and K
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T04:31:38.424169Z
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 f1265506-0fa9-4046-ad30-8bb02f4ec53f · outbound
This paper cites van den Berg and H.
Uniqueness and dimension for the geodesic of the critical long-range percolation metric van den Berg and H
Reference 15
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T04:31:38.338757Z
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.