Paper Citation Record · LEDGER

Spectral dimensions for one-dimensional critical long-range percolation

As of 8 August 2026, this Paper Citation Record lists 20 of 20 outbound references and 0 inbound Pith citation observations for arXiv:2505.15037.

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

pith.paper-citation-record.v1
2505.15037 v2

Coverage vector

measured 20 of 20 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T15:35:41.210479Z

measured 20 of 20 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

20 of 20 outbound references displayed

verified exact1
verified fuzzy12
unresolved7
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 489c20e0-c8e4-4581-9410-f3270f06dafb · outbound

This paper cites an unresolved cited work.

Spectral dimensions for one-dimensional critical long-range percolation Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-08-07T15:35:41.353036Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 787e2b71-35c5-4e54-8d7f-83d58d31962c · outbound

This paper cites Barlow, A.A.

Spectral dimensions for one-dimensional critical long-range percolation Barlow, A.A

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:35:41.346368Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation b8c82f37-4a6b-4b57-90ac-5c50a4fd74b3 · outbound

This paper cites an unresolved cited work.

Spectral dimensions for one-dimensional critical long-range percolation Unresolved cited work

Reference 3

Resolution: unresolved; raw_fallback, observed 2026-08-07T15:35:41.339603Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation e1b7155f-8eb9-47d1-a51f-0485fae1df22 · outbound

This paper cites Berger and M.

Spectral dimensions for one-dimensional critical long-range percolation Berger and M

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-07T15:35:41.175463Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation af159278-ce66-47bc-9f4c-81c3cd81f256 · outbound

This paper cites Scaling limits for random walks on long range percolation clusters.

Spectral dimensions for one-dimensional critical long-range percolation Scaling limits for random walks on long range percolation clusters

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-07T15:35:41.177863Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c83f5937-71a9-4677-a9d4-497592746b5b · outbound

This paper cites Biskup, X.

Spectral dimensions for one-dimensional critical long-range percolation Biskup, X

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-07T15:35:41.180298Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 736c1940-64ba-4b98-b960-9dd3f4b1444d · outbound

This paper cites Can, D.A.

Spectral dimensions for one-dimensional critical long-range percolation Can, D.A

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:35:41.325787Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 53d4a585-15cb-4a2d-b6fa-ac3e09b6db40 · outbound

This paper cites Crawford and A.

Spectral dimensions for one-dimensional critical long-range percolation Crawford and A

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:35:41.319656Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation d2093877-47df-44c0-bb4d-1e9c9dc009e0 · outbound

This paper cites Grimmett, H.

Spectral dimensions for one-dimensional critical long-range percolation Grimmett, H

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:35:41.313595Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 8320a8ec-779b-4085-aee5-bd48a6a76cd5 · outbound

This paper cites The polynomial growth of effective resistances in one-dimensional critical long-range percolation.

Spectral dimensions for one-dimensional critical long-range percolation The polynomial growth of effective resistances in one-dimensional critical long-range percolation

Reference 10

Resolution: verified exact; local_arxiv, observed 2026-08-07T15:35:41.235663Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 6186b0ff-230f-4fda-87c9-2de489df7c18 · outbound

This paper cites an unresolved cited work.

Spectral dimensions for one-dimensional critical long-range percolation Unresolved cited work

Reference 11

Resolution: unresolved; raw_fallback, observed 2026-08-07T15:35:41.307468Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation d2a97f71-f345-458e-9f6b-52c5da35db25 · outbound

This paper cites Kozma and A.

Spectral dimensions for one-dimensional critical long-range percolation Kozma and A

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:35:41.301516Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation d687c74e-9d9a-45c7-8ac6-3f1f197e6c21 · outbound

This paper cites Kumagai.Random walks on disordered media and their scaling limits.

Spectral dimensions for one-dimensional critical long-range percolation Kumagai.Random walks on disordered media and their scaling limits

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:35:41.295486Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 73e5e3c7-aecc-4ec2-a680-1cab574b7a0d · outbound

This paper cites Kumagai and J.

Spectral dimensions for one-dimensional critical long-range percolation Kumagai and J

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:35:41.288487Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 0494cdeb-dc43-465c-bde6-cbb0a0800434 · outbound

This paper cites De Masi, P.A.

Spectral dimensions for one-dimensional critical long-range percolation De Masi, P.A

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:35:41.281850Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 540f7fa3-87fe-4b65-98a6-93cf24102f84 · outbound

This paper cites Mathieu and A.

Spectral dimensions for one-dimensional critical long-range percolation Mathieu and A

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:35:41.275331Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 0c795ad9-0fae-4d27-8035-65fad9aa17d9 · outbound

This paper cites Mathieu and E.

Spectral dimensions for one-dimensional critical long-range percolation Mathieu and E

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:35:41.268119Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 066292de-7c5f-4ab6-8517-14d8887203de · outbound

This paper cites Schulman.

Spectral dimensions for one-dimensional critical long-range percolation Schulman

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:35:41.261396Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation a441bcb1-9c89-4989-940f-e9345a06e229 · outbound

This paper cites Sidoravicius and A.-S.

Spectral dimensions for one-dimensional critical long-range percolation Sidoravicius and A.-S

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-07T15:35:41.208277Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation db8a54a1-1c00-4a27-92a4-46bcd69216f5 · outbound

This paper cites Zhang, F.C.

Spectral dimensions for one-dimensional critical long-range percolation Zhang, F.C

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:35:41.249852Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Pith citing papers

No inbound Pith citation observations are available.