Paper Citation Record · LEDGER

Bi-infinite incipient cluster in high dimensions

As of 11 August 2026, this Paper Citation Record lists 24 of 24 outbound references and 2 inbound Pith citation observations for arXiv:2506.06559.

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

pith.paper-citation-record.v1
2506.06559 v1

Coverage vector

measured 24 of 24 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T06:03:03.386325Z

measured 26 of 26 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-10T06:31:04.303077+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-06T20:32:39.441003Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-06T20:32:39.876969Z

Reference resolution

24 of 24 outbound references displayed

verified exact2
verified fuzzy14
unresolved8
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 0e62e1aa-e2e2-436c-bb00-7497b04cb35b · outbound

This paper cites Ben Arous, M.

Bi-infinite incipient cluster in high dimensions Ben Arous, M

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T06:03:03.575449Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 1c15f973-5024-48be-8154-809b05065369 · outbound

This paper cites Ben Arous, M.

Bi-infinite incipient cluster in high dimensions Ben Arous, M

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T06:03:03.568707Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation ebfa33d0-5ee2-4ac1-886e-f6181e923880 · outbound

This paper cites Scaling limit for the random walk on critical lattice trees.

Bi-infinite incipient cluster in high dimensions Scaling limit for the random walk on critical lattice trees

Reference 3

Resolution: verified exact; local_arxiv, observed 2026-08-07T06:03:03.436597Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 536626a1-85c1-4e5c-9501-cb397a6a4672 · outbound

This paper cites van den Berg and H.

Bi-infinite incipient cluster in high dimensions van den Berg and H

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T06:03:03.562151Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 3cba01a3-3c24-43da-8649-36d4d65016fa · outbound

This paper cites Random skeletons in high-dimensional lattice trees.

Bi-infinite incipient cluster in high dimensions Random skeletons in high-dimensional lattice trees

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-07T06:03:03.339890Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9b0eea4c-b5a4-42d0-bfb9-0525ffd12781 · outbound

This paper cites Robust construction of the incipient infinite cluster in high dimensional critical percolation.

Bi-infinite incipient cluster in high dimensions Robust construction of the incipient infinite cluster in high dimensional critical percolation

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-07T06:03:03.342392Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f788ba94-285e-4614-bc35-20026d2290ab · outbound

This paper cites Damron and A.

Bi-infinite incipient cluster in high dimensions Damron and A

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T06:03:03.555573Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation c5fdbdb8-5978-441e-8dbc-229a200a5c0c · outbound

This paper cites Fitzner and R.

Bi-infinite incipient cluster in high dimensions Fitzner and R

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T06:03:03.549139Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation ddb1505f-c7af-43d1-ad58-b05cfd55364a · outbound

This paper cites Grimmett.

Bi-infinite incipient cluster in high dimensions Grimmett

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T06:03:03.542395Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 143d49d5-6549-4afc-bd58-fb16ba8514c2 · outbound

This paper cites an unresolved cited work.

Bi-infinite incipient cluster in high dimensions Unresolved cited work

Reference 10

Resolution: unresolved; raw_fallback, observed 2026-08-07T06:03:03.535787Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 3eba4243-56eb-40e3-8c4e-bc9fa04b60a5 · outbound

This paper cites an unresolved cited work.

Bi-infinite incipient cluster in high dimensions Unresolved cited work

Reference 11

Resolution: unresolved; raw_fallback, observed 2026-08-07T06:03:03.529253Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 9353f166-31f5-4977-aa72-5430d9b43f92 · outbound

This paper cites Hara and G.

Bi-infinite incipient cluster in high dimensions Hara and G

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T06:03:03.522516Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation d4c14b27-99f5-4d13-a3c6-3adcb9e09d19 · outbound

This paper cites Hara and G.

Bi-infinite incipient cluster in high dimensions Hara and G

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T06:03:03.515928Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 26567f55-5fe9-4797-b753-2d68906e96ce · outbound

This paper cites Hara and G.

Bi-infinite incipient cluster in high dimensions Hara and G

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T06:03:03.509026Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation b05b826b-15ff-4d29-91d8-cd41f38e1860 · outbound

This paper cites Hara and G.

Bi-infinite incipient cluster in high dimensions Hara and G

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T06:03:03.502133Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 43e14d8b-c13f-438f-86d2-7f8141c1cd7c · outbound

This paper cites Heydenreich, R.

Bi-infinite incipient cluster in high dimensions Heydenreich, R

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T06:03:03.494402Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation f1dcdbfa-24a2-4a3a-b922-5a476d30e356 · outbound

This paper cites Heydenreich, R.

Bi-infinite incipient cluster in high dimensions Heydenreich, R

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T06:03:03.487593Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation ab663fdb-7e3a-4f96-896f-ebda097f953c · outbound

This paper cites Heydenreich and R.

Bi-infinite incipient cluster in high dimensions Heydenreich and R

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T06:03:03.480765Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 5d3d590a-d20d-4192-a701-90481176acdf · outbound

This paper cites van der Hofstad and A.

Bi-infinite incipient cluster in high dimensions van der Hofstad and A

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T06:03:03.473201Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 53be61fe-5410-4114-984e-c48c59b8f5a4 · outbound

This paper cites an unresolved cited work.

Bi-infinite incipient cluster in high dimensions Unresolved cited work

Reference 20

Resolution: unresolved; raw_fallback, observed 2026-08-07T06:03:03.465947Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 78974302-0c07-4801-aead-4d3b253ca39d · outbound

This paper cites an unresolved cited work.

Bi-infinite incipient cluster in high dimensions Unresolved cited work

Reference 21

Resolution: unresolved; raw_fallback, observed 2026-08-07T06:03:03.458939Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 77f4bdd3-0995-45dc-b4d8-0944fc35c07c · outbound

This paper cites Two-sided infinite self-avoiding walk in high dimensions.

Bi-infinite incipient cluster in high dimensions Two-sided infinite self-avoiding walk in high dimensions

Reference 22

Resolution: verified exact; local_arxiv, observed 2026-08-07T06:03:03.411788Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 54df3366-1291-4220-a078-a68704fd27ec · outbound

This paper cites an unresolved cited work.

Bi-infinite incipient cluster in high dimensions Unresolved cited work

Reference 23

Resolution: unresolved; raw_fallback, observed 2026-08-07T06:03:03.451425Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 7bdb07d6-5bce-4021-afb2-92a8ffc3ab2a · outbound

This paper cites an unresolved cited work.

Bi-infinite incipient cluster in high dimensions Unresolved cited work

Reference 24

Resolution: unresolved; raw_fallback, observed 2026-08-07T06:03:03.443952Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Pith citing papers

Observation d4e572b7-69e0-4e8d-9542-d9d3e2f35d13 · inbound

On Loops in critical high-dimensional percolation cites this paper.

On Loops in critical high-dimensional percolation Bi-infinite incipient cluster in high dimensions

Reference 6

Resolution: verified exact; local_arxiv, observed 2026-08-06T20:32:39.880503Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 25fdfcee-623e-41df-9c87-0d0b88d72309 · inbound

Super-Brownian limits and the $k$-point function for high-dimensional percolation cites this paper.

Super-Brownian limits and the $k$-point function for high-dimensional percolation Bi-infinite incipient cluster in high dimensions

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-01T05:00:15.917752Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.